Week 6-10 Nuke Flashcards

(402 cards)

1
Q

What is a fundamental ?

A

Aka elementary - smallest building block which has no internal structure and cannot be divided

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2
Q

Define composite

A

Made of 2 or more fundamental particles

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3
Q

What is the standard model?

A

A theory describing fundamental building blocks of matter and forces governing their interactions.
includes 3 of 4 fundamental forces - EM, strong, weak. But not gravity

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4
Q

What is quantum field theory?

A

Theoretical framework combining quantum mechanics and special relativity to explain subatomic behaviour

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5
Q

What does QT combine?

A

Classical field theory, relativity and quantum

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6
Q

What was the first subatomic particle discovered?

A

Electron

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7
Q

How were other subatomic particles discovered after first one?

A

Radioactive decay - neutrinos etc

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8
Q

What is a muon?

A

A second generation lepton, heavier cousin of electron

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9
Q

What are gluons?

A

Force carriers for strong force

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10
Q

What are W and Zo bosons?

A

Force carriers for weak force

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11
Q

What are fermions?

A

Have half integer spin and obey PeP

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12
Q

How do fermions interact with each other?

A

By exchanging bosons

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13
Q

What is spin?

A

Intrinsic angular momentum independent of motion of particle

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14
Q

What are boson?

A

Particles with integer spin which do not obey PEP

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15
Q

How many families of fermions?

A

3

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16
Q

Describe the families of fermions

A

Each with 2 quarks Q +/23 and -1/3, and 2 leptons Q0 and q-1

  1. Normal matter
  2. and 3. - less stable, more exotic
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17
Q

Describe the normal matter fermions

A
  1. Quarks
    - Up (u) +2/3
    - Down (d) -1/3
  2. Leptons
    - electron neutrino (v sub e) Q = 0
    - electron (e-) Q = -1
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18
Q

Describe the second group of fermions

A
  1. Quarks
    - Charm (c) +2/3
    - Strange (s) -1/3
  2. Leptons
    - muon neutrino (v sub mu) Q = 0
    - muon (mu -) Q = -1
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19
Q

Describe the third group of fermions

A
  1. Quarks
    - Top (t) +2/3
    - Bottom (b) -1/3
  2. Leptons
    - Tan neutrino (v sub Tau) Q = 0
    - Tauon (Tau -) Q = -1
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20
Q

What are quarks?

A

Non integer charge and have quantum property called colour

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21
Q

What is colour?

A

A type of quantum charge - blue, red and green - describes the way particles interact with strong force

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22
Q

What colour can antiquarks be?

A

Antired, anti blue, anti green

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23
Q

What is colour confinement?

A

Free particles must have a colour charge of zero

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24
Q

What is colour force?

A

The force between quarks is the colour force or strong interaction

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25
What is colourless?
Mixing all three colours or all 3 anti colours produces a colourless or white charge
26
What are hadrons
Quarks combined in groups of 2 or 3 to make neutral coloured hadrons
27
What is the proton made of?
Quarks, uud
28
What is the neutron made of?
Quarks dud
29
What are leptons?
Integer charge
30
Which leptons have charge -1?
Electrons, muon, tauon
31
Which leptons have charge of 0?
All neutrinos
32
What is a lepton number?
Number used to track the conservation of leptons in particle interactions
33
What is the lepton flavour?
The type of lepton i.e. electron flavour, muon flavour, tau flavour
34
Why are lepton numbers important?
The total number is conserved during interactions
35
What is antimatter?
Particles that are the opposite of regular matter particles with same mass and spin but opposite electric charge and lepton number
36
How was presence of antimatter predicted?
From energy momentum equation: E^2 = p^2c^2 + m^2C^4 - when solved end up with +/- answer due to square root - negative energy solution -> particle travelling the opposite direction in time i.e antiparticle
37
What are gauge bosons?
Specific type of bosons that are force carriers (not all bosons are) and transmit force between particles
38
What are intermediate vector bosons?
A type of particle that carries weak force - W or Z
39
What are photons?
Force carrier for EM force, massless, spin -1 - Stable and is its own antiparticle
40
What is the fine-structure constant?
Fundamental number describing the strength of EM force and helps to determine how strongly charged a particle is - alpha - = 1/137
41
What are intermediate vector bosons called that?
Intermediate - mediates force Vector - all have spin 1
42
How far does strong force extend?
Roughly size of nucleus
43
What does strong force act on?
Quarks, as only these carry colour charge
44
What is alpha sub s
The constant of the strong force which determines the strength of strong force interaction
45
Which particles carry weak force?
All
46
What is the lifetimes of W+/- and Z bosons?
10^-25 secs
47
What is the effect of gravity?
Small enough to be ignored
48
Describe 4 components of strong force
Boson: Gluon g Range: 10^-15m Relative strength: 1 Couples to: colour
49
Describe 4 components of EM force
Boson: Photon Range: infinite Relative strength: ~1/137 Couples to: electric charge
50
Describe 4 components of weak force
Boson: W+,W-,Zo Range: 10^-18 Relative strength: ~10^-6 Couples to: ‘Weak charge’
51
Describe 4 components of gravitational force
Boson: Graviton Range: infinite Relative strength: ~10^-39 Couples to:mass
52
How is Heisenberg uncertainty principle important to force range?
The range of force is related tot he energy that the intermediate vector boson can borrow from one particle to give to another - substitute c=x/t into Et > h/2
53
What does it mean if a particle is stable?
No decays are allowed such that e,n and p make up normal matter
54
What is the lifetime of particles which decay via strong force?
10^-23 to 10_-20 secs
55
What is the lifetime of particles which decay via EM force?
10^-20 to 10^-16sec
56
What is the lifetime of particles which decay via weak force?
10^-13secs or longer
57
Which decays have very long half lives?
Beta decay via weak interactions
58
What is resonance
An extremely short-lived unstable particle whose existence and properties are inferred from peaks in energy scattering
59
What is HiggsBoson?
Spin 0, neutral, has mass but no other quantum numbers and coupling with other particles is proportional to mass
60
Define 1 eV
Energy gained by one electron when subjected to a PD of 1 volt
61
What are natural units
System of units where C, G and h are set to 1
62
Why use natural units?
Calculations are simplified as c=c^2=c^4 = 1and everything in dimensions of energy
63
What is Planck’s constant in words?
H bar, Fundamental unit of action
64
How to derive mass in natural units?
E = mc2 - c2 = 1
65
What quantities are energy in natural units?
Mass, energy, momentum
66
Which quantities have inverse energy in natural units?
Length, time
67
How to derive momentum in natural units?
E^2 = p^2c^2 + M^2c^4 - c^2 and C^4 = 1 - and E=mc2 where c2 = 1
68
How to derive length in natural units?
Debroglie where h=1 Lambda = 1/p E2 = p2c2 + m2c4
69
How to derive time in natural units?
Heisenberg’s: Delta E delta t > h bar where h bar =1 ET = 1
70
What is a cross section?
Probability a specific process will occur
71
What are barns
Measure of area - 10^-28m2
72
Lorentz factor
Gamma = 1/ (SQRT( 1-beta^2) B = v/c
73
What is beta for energy?
Beta = p/E
74
What is gamma for energy?
Gamma = E/m
75
What are the 2 postulates of special relativity?
1. Laws of physics valid in all inertial frames 2. Speed of light constant and same in all frames
76
What is the Lorentz transformation for position
x’ = gamma (x-vt) OR x = gamma (x’+vt’)
77
What does prime signify?
Moving frame
78
What is the Lorentz transformation for time?
T’ = Gamma (t-(Vx/c^2) ) OR T = Gamma (t’+ (Vx’/c^2) )
79
What is length contraction?
an object at rest in one frame appears shorter from moving frame
80
Define Lo?
Length in moving frame
81
Equation for Lo
Lo = x’2 - x’1 = gamma (x2-x1) = gamma L
82
Define time dilation
Process in rest frame appears loner from moving frame
83
Equation for time dilation
Delta t = t2 - t1 = Gamma (t’2 - t’1) = Gamma Delta t’
84
Where is time dilation seen in this module?
Cosmic ray muons - should only travel 0.6km and not reach earth but due to time dilation travel 70 more than classically expected Also accelerators - need to take into account length contraction
85
What is a 4 vector?
A vector with 4 components - 3 form space, 1 for time
86
What is an invariant property?
Same under all Lorentz transformations
87
What does covariant mean?
- Denoted with subscript - Represents how coordinates or vector components change when we change reference frames - Transform in opposite way to - Act more like “coordinates” that are aligned with new reference frame Keeps physical interpretation intact but alter how we describe the vector in the new frame
88
What does contravariant mean?
- Denoted with superscript - Represents how coordinates or vector behaves when we change reference frames - Transform in opposite way to covariant - Transform in way that makes the vector itself remain the same across different observers Changes components in a way that compensates for changes when you move to a new reference frame
89
What are proper quantities?
Invariant ones
90
What four vectors are invariant?
Squared
91
What if A^2 >0
Means a four squared vector^2 >0 so the vector A is time-like Time-like = separation between 2 events are close enough that they can be connected by something moving slower than c and one could be influenced by the other. Can travel from one to the other without reaching c
92
What if A^2 <0?
A, a four squared vector = space like Separation is large enough that nothing,not even light, can travel from one to the other i.e. outside each other’s light cone so cannot influence each other
93
94
What is a Lorentz boost?
A transformation that changes the reference frame of an object moving at a constant velocity relative to another
95
what is the lab frame?
The frame where the laboratory is taken to be at rest
96
What is the COM frame?
The centre of mass frame is where the observer is taken to be travelling with the same speed as the centre of mass of the system
97
What is proper time?
(τ ) is the time interval for an object at rest
98
What is proper time a measure of?
The amount of a physical process that a system undergoes eg. the lifetime of an unstable particle, which is an intrinsic property of that particle
99
What is proper length?
The distance between two points measured by an observer who is at rest relative to both of the points
100
What is proper length?
The distance between two points measured by an observer who is at rest relative to both of the points.
101
What is proper velocity?
of an object relative to an observer is the ratio between observer-measured displacement vector dx and proper time dτ (as measured in the frame moving with the object.
102
103
What terms do you get from Taylor expansion of 4-momentum using proper velocity?
1st term = rest mass energy 2nd term = classical KE Subsequent terms
104
When do relativistic corrections to energy become more relevant?
At high relative velocities
105
When can you neglect relativistic corrections to energy?
When v is small with respect to c
106
What is the minimum energy a body can have?
Rest mass energy
107
What is invariant mass?
Same mass for all observers regardless of reference frame or how the system is moving
108
What is significant about invariant mass?
It can be equated before and after interactions
109
What are the 3 types of collisions?
Sticky, explosive and elastic
110
What are the main types of collisions categorised by?
Change in kinetic energy
111
What are sticky collisions?
Kinetic energy decreases but the total rest mass energy increases (ie. Heavier particles are made in the process)
112
What are explosive collisions?
Kinetic energy increases and the rest mass energy decreases (ie. Lighter particles are produced in the process such as π sup 0 → γγ)
113
What are elastic collisions?
Both total kinetic energy and rest mass energy are conserved (ie. The particles don’t change type.)
114
What is a scattering process?
One where particles collide and change direction or energy
115
What is elastic scattering?
The two particles simply collide, exchange some momenta and fly away at different angles. A + B → A + B
116
What is inelastic scattering?
New particles are produced and the products of the interaction are different. A + B → 1 + 2 + ... + N.
117
Which collisions are inelastic?
Explosive and sticky
118
What are the classifications of experiment for studying scattering/collisions?
Fixed target or colliding beam
119
What is the difference between scattering and collisions?
Collisions are physical interactions from direct contact Scattering is interactions where interaction is change in direction or energy
120
What is a fixed target experiment?
One of the particles (B the target) is stationary, whilst the other (A) is delivered in a beam with high momentum
121
What is a colliding beam experiment?
Both particles have momenta in opposite directions.
122
How do relativistic boosts affect the scattering angle?
the denominator is boosted and the numerator not so from rest frame angle appears smaller
123
What is particle accelerator?
Device that uses EM fields to produce high energy fields
124
What wavelengths are required to study particle interactions?
-Shorter than typical hadron nuclear (10^-15m)
125
What momentum is required to study particle interactions?
From hadron radius and DeBroglie’s, 0^2 MeV
126
What are the 4 advantages of colliders?
- Known collision position • Known initial particle type • Controlled energies • High frequency (more collisions, more interactions)
127
What is luminosity used for?
To define the performance of an accelerator
128
What is luminosity
A measure of how many interactions happen
129
What is the interaction rate?
R = sigma L - sigma = interaction cross section, L = luminosity
130
How many bunches in accelerator beam?
4-8
131
What is integrated luminosity?
Cumulative luminosity over time
132
What are dipole magnets?
Lie perpendicular to the direction of motion of the particles will constrain them to a circular trajectory perpendicular to the field.
133
What are quadrupole magnets?
They are used to counteract the electrostatic repulsion between the particles and to keep the beam focuse
134
What are the pros/cons of DC machines?
Direct electric current machines - still used as first element in many accelerator chains - cannot alone achieve the required E¯ fields for modern particle accelerators due to voltage breakdown and discharge
135
What are the features of Cockcroft Walton machines?
- creates a large electric potential (up to ≈ 1 MV before discharges become a limitation) through a ladder of capacitors and diodes
136
What are the pros/cons of Van de Graff generators?
- collects charged positive ions on a dome. This build up of positive charge can then be used to repulse injected positive ions inside the dome, accelerating up to voltages of ≈ 12 MeV - avoid the inevitable voltage breakdown issues and achieve significantly higher particle energies, the solution is to apply a limited potential multiple times at Radio Frequency
137
What are the features of linear accelerators?
LINACS - consist of a linear chain of electromagnets and vacuum drift tubes. - Electromagnets, called RF-cavities, are located at the ends of the drift tubes to accelerate the particles through the chain. - electromagnets alternate (at radio frequency) sign to attract particles towards them, then as the particles pass they switch sign to repel the particles away from them - drift tubes get longer and longer along the chain to account for the increasing speed of the particles
138
What are the features of cyclic accelerators?
- overcome the problem of building such long chains. -a synchrotron uses synchronously ramped magnetic and electric fields to accelerate charged particles, which travel round the same ring multiple times, accelerating each time. - consist of an alternating series of RF cavities, quadrupole magnets and dipole magnets.
139
What is a synchrotron?
A type of acceleration using synchronously ramped EM fields until emit synchrotron radiation
140
What is synchrotron radiation?
Intense bright light from charged particles when accelerated to near speed of light and forced on curved paths by fields
141
What are the features of the Large Hadron Collider?
- Worl’ds most powerful accelerator (CERN) - produces proton-proton collisions at a centre of mass energy of 13 TeV
142
Describe how a number of accelerator elements are used to build up the particle energies
1. Protons are produced from bottled hydrogen gas, using an electric field to strip the electrons. • 2. The LINAC-4 then accelerates the protons up to 160 MeV. 3. The protons are then injected into the proton synchrotron (PS) and accelerated up to 25 GeV. 4. The Super proton synchrotron (SPS) with a radius of 1.1 km then accelerates the protons up to 450 GeV. 5. Finally the protons are injected into the two beam pipes of the 27 km circumference LHC, which takes 4 minutes and 20 s to fill and then 20 minutes to reach beam energies of 6.5 TeV.
143
What is a proton synchrotron?
Type of synchrotron accelerator specifically designed to accelerate protons to near c
144
What is a super proton synchrotron?
Accelerated protons and heavy ions to near c. Called super due to higher energies than proton
145
What is the relationship between energy radiated in an accelerator and particle mass?
Change in E is proportional to m^-4
146
What is the relevance of the relationship between energy radiated in an accelerator and particle mass?
Synchrotron radiation has more impact for lighter particles such as e- compared to heavier e.g. p
147
What is the Large Position collider?
the old cyclical collider replaced by LHC due to higher energies
148
What is LHC?
Large hadron collider?
149
What are secondary beam lines?
Pathways in particle accelerators that use unstable particle decay of secondary particles to create a beam of the desired particles
150
What are magnetic horns?
High-powered magnets shaped like horns in particle physics used to focus on direct a beam of particles.
151
What is a beam dump?
A device in particle accelerators that safely absorbs and disposes of unwanted or residual particle beams after completing their intended use
152
What are the features of J-PARC?
- Beams of protons from the main ring accelerator are directed onto a fixed graphite target producing, amongst other things, energetic charged pions - The pions are directed into a decay volume via magnetic horns. - The polarity of these horns will select either positive or negative pions, hence producing either neutrinos or anti-neutrinos via the decays - Muons absorbed by beam dump - Neiutrnos Cary on in a colllimated neutrino beam as so weakly interacting
153
What are pions?
Short for pi mesons - mediate strong force
154
What are short range interactions?
with the atomic nucleus via the strong interaction
155
What are long range interactions?
Charged particles via EM force
156
What do EM interactions result in?
Ionisation energy loss or radiation energy loss
157
What are types of Dc machines?
Cockcroft Walton Van de Graff
158
What is radio-frequency?
3 kHz - 300GHz
159
Name main types of accelerators
Linear and cyclic
160
Define drift tubes
Devices in particle accelerators that maintain an air and dust free environment so the particles can travel unobstructed
161
Define Rf cavities
Hollow meta structures in accelerators resonant at specific RF to accelerate particles through the chain
162
What is the particle energy proportional to in a LINAC?
The length of the accelerator chain
163
name examples of LINACs
SLAC - Stanford linear accelerator LINAC 4 at Cern
164
165
166
167
What is ionisation energy loss?
When charged particles excite and ionize atoms along their path
168
What is radiation energy loss?
EM radiation is emitted as the charged particle passes through the material.
169
What is the dominant energy loss mechanism for charged particles?
Except e +-/, ionisation
170
What is the Bethe-Bloch equation?
-Describes the rate at which charged particles lose energy via ionisation as they pass though matter
171
Why is Bethe-Bloch equation important?
Crucial in understanding stopping power of material for high energy particles
172
When doe the dielectric screening correction in Bethe-Bloch become important?
highly relativistic particles
173
What are the main points of the curve described by the Bethe-Bloch equation?
1. Curve depends on the particle velocity, not mass - can identify particle just with momentum, p. 2. At low βγ (left hand side of fig 3) the particle speed is comparable to the speed of atomic electrons - large fraction of the energy loss is due to excitation of atomic and molecular levels rather than ionisation. - −dE/dx is falling rapidly due to the 1/β2factor. 3. The minimum −dE/dx is independent of the material - minimum only depends on βγ of the particle. 4. Log factor gives relativistic rise on RHS - For Betagamma>500, radiation losses in nuclear field dominate
174
Where does minimum ionisation of BB occur and what is this called?
- Where -dE/dx is a minimum - we say the particle is acting as a minimum ionising particle (MIP)
175
What does -dE/dx depend on in the BB equation?
−dE/dx depends on the density, ρ, atomic number, Z, and atomic mass, A, of the target
176
For which particles does BB equation not apply?
, e+/-
177
Which energy loss is important for e+/-?
Radiation energy loss
178
When is energy loss important for e+/-?
Extremely high energies for other charged particles
179
What is e +?
A positron - antimatter of electron
180
What is Bremsstrahlung radiation?
- Braking radiation in German - Radiation (photons) emitted when a charged particle (usually e-) is slowed or deflected by E field of another charged particle (usually nucleus) (E- lose energy via radiation as photons and slow)
181
What is the Bremsstrahlung radiation equation?
-dE/dx = E/Lr
182
What is radiation length?
Lr The average thickness of material that reduces the energy of an electron or positron by the exponential factor, e
183
What is the probability of a photon being absorbed or scattered?
High
184
What ways are photons absorbed or scatterd?
1. Photoelectric effect - absorbed whole by atom and e- emitted 2. Compton scattering - Ph scatters off atomic e- 3. Pair production - e +/- pairs are produced in the filed of a nucleus or atomic electron - requires at least 2 Me 4. Photo-production - Low energy photons absorbed by nuclei e.g. to form hydronic state
185
How much is me?
0.511MeV
186
What is the mean free path?
1/ (n*sigma)
187
What is an EM shower?
A cascade of secondary particles produced through EM interactions, with decreasing energy until photons fall below pair-production threshold
188
What types of short range hadronic interactions are there?
Scattering - Elastic - Inelastic - Quasi-elastic
189
What is elastic scattering?
The initial and final particles are the same but momentum is transferred.
190
When is elastic scattering important?
These processes dominate at lower energies
191
What is inelastic scattering?
The initial and final state particles are different.
192
When is inelastic scattering important?
These processes dominate at higher energies
193
What is quasi-elastic scattering?
A limiting case of inelastic scattering. Elastic interactions occur with the nucleon, that then results in nuclear recoil resulting in a de-excitation or break-up of the nucleus.
194
What happens to energy in quasi-elastic scattering?
Energy transfer is small compared to the incident energy.
195
What are short range hadronic interactions?
Interactions between hadrons (particales made of quarks such as p,n and mesons) - 1-2 femtometers - strong force
196
What is the total cross section?
Sigma, which indicates the total probability of interaction, is a sum over all the elastic and inelastic process cross-section
197
What is probability using cross section?
P = n σtotal dx
198
What is collision length?
lc, the mean distance travelled before an interaction
199
What is the formula for collision lenght?
lc = 1/ (n σtotal)
200
What is absorption length?
L sub a, - mean distance travelled before an inelastic interaction (where the initial particle is absorbed and ceases to exist)
201
What is the formula for absorption length?
La = 1 / (n * σinelastic)
202
What is the ratio of collision and absorption lengths at high energies?
Lc ~ la as inelastic dominates
203
What are short range neutrino interactions?
- Interactions with nuclei and neutrinos or anti neutrinos - occur via the weak interaction producing a more easily detected lepton - 1-2femotmeters
204
Compare neutrino and hadron cross sections
neutrino cross sections very small - causes very large interaction lengths
205
Define particles in terms of least to most penetrating
- E- / photons - Hadrons -Muons - neutrinos
206
Define penetration of particles
Ability to pass through materials without significant absorption or deflection
207
What would signify high penetration?
Detection over long distances
208
How do electrons interact?
EM
209
How do photons interact?
EM
210
How do hadrons interact?
Strong
211
How do muons interact?
Ionisation
212
How do neutrinos interact?
Weak
213
What is the range of electrons?
0cm
214
What is the range of photons?
0 cm
215
What is the range of hadrons?
10s of cm
216
What is the range of muons?
10-10^3m
217
What is the range of neutrinos?
Astronomical
218
What are the components of a classic collider experiment?
1. Tracker - for tracking charged particles over short distances. - Gives accurate vertex reconstruction for particles that decay in O(cms) or less. 2. Electromagnetic Calorimeter for fully containing and reconstructing the energy of e± and photons. 3. Hadronic Calorimeter for fully containing and reconstructing the energy of hadrons. 4. Muon Systems for tracking and reconstructing the energy of muons which are the most st penetrating of the observed particle
219
Which particles are the most penetrating of the observed?
Muons
220
What is the ATLAS detector?
Classic collider experiment
221
What is an electromagnetic calorimeter?
Type of detector in particle physics to measure r energy of EM particles such as e and p
222
What is a hadronic calorimeter?
A type of detector used to measure energy of hadrons when interacting with matter
223
What is a muon system?
A detector system used to identify and measure muons
224
What order of detector components is required and why?
Tracker, EM calorimeter, hadronic calorimeter, muon system - order of least to most penetrating
225
What detects neutrinos in collider detectors?
Nothing. Presence inferred from missing energy
226
What is missing energy?
Energy in particle physics which is not directly detected but inferred from conservation of energy and momentum
227
What is the detection principle?
The fundamental methods or mechanism by which a particle detector identities and measures particles or radiation
228
What are the main detection principles?
1. Ionisation 2. Scintillation 3. Cerenkov radiation 4. Semiconductor detectors 5. Calorimetry 6. Magnetic deflection 7. Cherenkov detectors
229
When are ionisation detectors used?
Heavy charged particles
230
What are 7 types of ionisation detectors?
- Emulsion - Cloud - Bubble - Gaseous ionisation - Wire chamber - Drift chamber - Time projection chambers
231
What are emulsion detectors?
- Tracking ionisation detectors - In photographic emulsions charged particles cause ionization along their path, which show up as linesin developed film. - Gives good tracking resolution, especially when a magnetic field is applied, - detector is always active so over an exposure you end up with many overlapping tracks.
232
What is the emulsion cloud chamber technique?
- Deploys many layers of emulsion inter-spaced by passive material layers made of plastic or metal
233
What are cloud chambers?
- Type of ionisation detector. - The chamber is filled with water vapour under pressure. - When a charged particle traverses the chamber the ionization produced by the particle causes droplets to form about the ions revealing the particle’s track, which can be captured by photograph
234
What are bubble chambers?
follow a similar principle to cloud chamber sbut the detecting medium is super-heated liquid and bubbles form on the ionisation sites to reveal the particle track
235
What is a famous bubble chamber?
Gargamelle
236
What is a famous use of emulsion cloud chamber technique?
e.g.OPERA detector at LNGS in CERN - Pb was used between layers due to its high density to maximise the chance of neutrino interaction
237
What are gaseous ionisation detectors?
- Collect the ionisation charge generated as a charged particle passes through a gaseous detector medium on electrodes - Gives an instantaneous electrical signal. - Gas dependent but requires approximately 30 eV to produce an electron-ion pair. - If strong electric field is applied, these pairs can then produce secondary ionisation thus amplifying the signal measured at the electrodes
238
What are wire chambers?
- A form of gaseous ionisation detectors similar to drift chambers - Maintain the gas at negative potential with an applied field E (of order 104 − 105 V/cm near the wire) - The signal measured at a wire anode at positive voltage is proportional to the energy of the particle
239
What is the proportional region of operation
Specific operating regions in some particle detectors where the number of ion pairs produced by a charged particle is directly proportional to the energy deposited by the particle
240
What is a multi-wire proportional chamber?
A gaseous ionisation detector similar to drift chambers - will have many such anode wires (spaced ∼ 2 mm apart) between common cathode plates and can achieve spatial resolutions in the range 50 − 200 µm and time resolution ∼ 2
241
What is MWPC?
multi-wire proportional chamber
242
What are drift chambers?
Gaseous ionisation detectors similar to wire chambers - use the fact that the liberated electrons take time to drift from their point of production (on the particle track) to the anode. - Have many wires to provide a relatively constant electric field through the gas volume and accurately measure the drift time with respect to an external reference time
243
What range can drift chambers collect data in?
50-150microm
244
What are TPCs?
Time projections chambers
245
What are Time projections chambers?
Gaseous ionisation detector - Electric field applied across a large (of order metres) volume of gas or liquid giving high precision with a low energy threshold. - Anode wires are strung in one plane (lets say along the x direction in the x − y plane) either at the end or in the middle of the z range of the volume
246
How is 3D tracking achieved in TPCs?
- The y position is reconstructed from the location of anode wire hit. - The x position comes from the position of the hit along the anode wire, and hence how long the signal takes to reach the readout end of the wire. - The z position comes from the time taken for the drifting charge to reach the wire. - Energy deposit dE/dx comes from the magnitude of the measured anode voltages
247
What is PID?
Particle identification - process of identification based on properties
248
What is DUNE?
A neutrino oscillator experiment
249
What are semiconductor detectors?
- Essentially solid state ionisation detectors. - The charged particle passes through the detector material (eg. Silicon), and releases valence electrons. - The electron and hole pairs are then collected at electrodes giving a charge signal proportional to the energy loss of the incident particle
250
What are scintillator detectors?
- Uses materials called scintillators that emits luminescence when excited by ionizing particles. - Scintillators can be either solid or liquid. - A small fraction of the excitation energy emerges as visible or UV light
251
What are wavelength shifters?
Material or device that absorbs light and re-emits at different (usually longer) wavelength
252
What are fluors?
Fluorescent material incorporated into detectors to enhance detection of charge particles
253
What arePMTs
Photomultiplier tubes
254
What are Photomultiplier tubes used for?
uses photoelectric effect - Light incident on a photocathode deposited on the inner front surface of an evacuated glass bulb releases a photo-electron - electron is picked up by a chain of electrodes with increasing potential to amplify the signal giving a measureable current pulse for each single incident photon.
255
What is a T2K detector?
uses solid scintillator strips arranged in layers interleaved with iron to track charged particles produced by neutrino interactions
256
What is a SNO+?
Scintillator detector - uses a large volume of liquid scintillator (filling a 12 m radius acrylic vessel) observed by an array of 9300 PMTs.
257
What are pros cons or SNO+
- allows detection of neutrino interactions down to energies of <1 MeV - but the scintillation light is isotropic so does not give any direction or tracking information on the particles produced in the interactions.
258
What is Cherenkov radiation?
Electromagnetic shock-wave emitted as charged particles pass through a medium with refractive index n >1
259
How does Cherenkov radiation have refractive index n>1?
Speed of light in a medium reduces to c/n, due to the possible interactions with the molecules of the material
260
What is relevance of refractive index in Cherenkov radiation?
A relativistic charged particle can travel faster than light in the medium.
261
What is the criteria for Cherenkov radiation emission?
β > 1/n ( n = refractive index)
262
What are Cherenkov threshold counters?
Cherenkov effect used, where the refractive index used is selected so that only particles above the required energy produce signal
263
What are ring imaging Cherenkov detectors?
- used in the LHCb detector at the LHC, - determine the angle of the cone emitted and hence the particle velocity. - Combined with a momentum measurement in a magnetic field, particle mass and hence identity can be determined.
264
What are water Cherenkov detectors?
- Excellent neutrino detectors providing a large, and cheap, detector volume. - By instrumenting the outer wall of a, usually cylindrical, tank of water with many PMTs, we can measure rings of light where the Cherenkov cone intersects with the tank wall
265
What do number of photons detected in water Cherenkov detectors give?
Gives energy of the charged particle,
266
What do the position and time of hits on the PMT give?
information on the charged particle’s position and direction
267
How to infer particle type from water Cherenkov?
how fuzzy the ring is
268
What are calorimeters?
measure energy and direction of particles by total absorption.
269
How are calorimeters different to other detectors?
destructive detectors
270
What are destructive detectors?
change the nature of the incoming particle, aiming to completely contain it within the calorimeter volume so that total energy is measured
271
Where are destructive detectors placed ?
Outside tracking and PID instrument
272
Which particles do calorimeters detect?
Charged and neutral, by producing charged secondaries
273
How do electromagnetic calorimeters work?
produce showers of particles e±, γ via the electromagnetic interaction through Bremsstrahlung and pair production processes.
274
How do hadronic calorimeters work?
produce showers of particles via the strong interaction. - These shower particles, such as neutral pions, then usually deposit energy via EM interaction
275
How do sampling calorimeters work?
- Encorporate layers of absorber (dense materials such as Pb) and active detector components (such as scintillators or MWPCs). - Transverse separation of the calorimeter detector components can provide additional spatial information.
276
What is the effect of absorption process in sampling calorimeters being statistical?
Uncertainty on measured energy is proportional to 1/E
277
What is common to hadronic and EM calorimeters?
Both sampling calorimeters
278
What are benefits of calorimeters?
- the measurement in a calorimeter is relatively simple (no complicated tracking algorithms required) - fast - calorimeter information is often used for making triggering decisions.
279
What are baryons?
composite particles made up of quarks held together by strong force
280
What are quarks?
282
Range of nuclear force
1-3fm
283
How do pions decay?
To leptons through weak interaction
284
285
What is the CoM frame?
Frame where net momentum = 0
286
What is the centre of mass frame
The one where total momentum = p
287
In accelerators what do E fields do ?
Accelerate particle
288
In accelerators what do B fields do ?
Manipulate trajectory
289
What to change about E fields needed to get high particle speeds?
Strong E field
290
What is used to keep beams focused in accelerators?
Quadrupole magnets
291
How do quadrupole magnets work?
Counteract electrostatics repulsion between particles
292
What is B field produced by?
Dipole magnets
293
What particles can secondary beam-lines use?
Unstable particles E.g pions
294
With what info can we calculate the particle momentum?
From Lorentz and angular acceleration, B field strength, radius of circular path and charge of particle
295
What are RF cavities
Accelerators, Metallic chambers to build up very strong EM field to give particles electrical impulse to accelerate them
296
When does the sign or direction of the field in an RF cavity flip?
Approx 100MHz
297
What are components of LINAC?
Chain of electromagnets and vacuum drift tubes
298
What are drift tubes?
Contain vacuums so particles can travel unobstructed
299
What types of particles are used for beams in accelerators?
Stable, charges ( E +/-, p+/-, ions)
300
What is the benefit of colliders over fixed target?
Due to conservation of momentum, all energy is available and carried forward.
301
Why are cyclic accelerators required?
To get high energies, LINACs need longer and longer machines
302
What happens to energy in fixed target accelerators?
Energy is used to boost the centre of mass forwards so less available for particle
303
What is the formula for revolution frequency
Revolution frequency = c/( 2* Pi* R)
304
What is the formula for number of bunches.
Frequency of RF/ revolution frequency
305
What affects cross section?
Collision energy and particles involved
306
What does luminosity depend on?
Densities and geometries of beam and target
307
308
What are the dimensions of luminosity?
Inverse area, inverse time
309
How big is an inverse barn?
10^-15m^-2
310
Why are pions useful in accelerators?
Decay into muons and neutrinos?
311
Why neutrinos used in accelerators?
Neutral, remains focused and travel in straight line. As pions travel in straight lines, decay products will too
312
Why is the drawback of circular accelerators?
Emit significant Bremsstrahlung radiation - huge energy loss needing larger and larger rings
313
How so we detect particles?
Through interaction with matter
314
How do we measure momentum of charged particles
Curvature of path of charged particles in magnetic fields
315
How do particles lose energy?
Ionisation or radiation
316
What is
317
What particles does Bethe-Bloch work well for?
Heavy particles, no electrons and positrons
318
What does Beth-Bloch curve resemble?
Force potenital
319
What is the minimum ionising particle?
Particle whose mean energy loss rate through matter is close to the minimum
320
When do particles become minimum ionising particles?
-occurs when kinetic energy is at least twice larger than their rest mass
321
322
What are PMTs?
Photomultiplier tubes - used to detect photos in scintillation detectors ( Put photons in and get electricity out like reverse lightbulb)
323
In what shape do particles emit radiation at each position?
Circular
324
What is the conical angle and how to derive
Related to characteristic cone shape of Cherenkov detectors Geometrically - cn/t and Bct as sides of triangle
325
What is the relevance of conical angles?
They can be used to determine particle velocity
326
327
Which photon interaction dominates at high energy?
E- positron pair production
328
What are most penetrating particles likely to produce in detector?
Muons
329
Which particles are not detected in detectors?
Neutrinos due to high penetration
330
Which particles do EM calorimeters detect?
E=/- and photons
331
Which particles do hadronic calorimeters detect
Hadrons e.g. Pion, K, protons, neutrons
332
How do detect hadrons
Neutral, but via strong interaction
333
How to detect neutrinos ?
Via weak interactions
334
How to detect neutrons?
Interaction with ***
335
Benefit of Cherenkov detecotors?
Cheap
336
What is the ring imaging detector used for?
Determining the angle of the cone and therefore particle velocity
337
338
What is the effect of a boost on scattering angle?
Smaller relative to beam direction
339
What is the energy in the COM frame?
At 3.momentum = 0 = Ea + Eb
340
What is the COM energy for identical colliding beams E.g. p-p?
Lab frame is same as COM frame so S = 4E^2
341
342
How is length affected in relativity?
Objects in rest frame appear shorter from moving frame
343
How does length contraction feature in particle accelerators?
Effective length is shortened in direction of particle velocity
344
Explain time dilation
An event in a rest frame appears to take longer from a moving frame
345
Formula for gamma?
E/M or 1 / sqrt ( 1- v^2/ c^2)
346
How is time dilation seen in particle physics?
Particles take longer to decay the faster they’re moving
347
What is the symbol for length in natural units?
I/E
348
What is the symbol for mass in natural units?
E
349
What is the symbol for time in natural units?
1/E
350
What is the symbol for momentum in natural units?
E
351
What is the value of length in natural units?
1Gev = 0.197 X10^-15m
352
What is the value of mass in natural units?
1Gev = 1.8x10^-27kg
353
What is the value of time in natural units?
1GeV = 6.58 x10^-25s
354
What is the value of energy in natural units?
1Gev = 1.6 x10^-10J
355
What is the value of momentum in natural units?
5.39 x10^-19kg.m/s
356
How to obtain natural units?
C, h and hbar are unity
357
What is the baryon number of d
1/3
358
What is the baryon number of u
1/3
359
What is the baryon number of s
1/3
360
What is the baryon number of c
1/3
361
What is the baryon number of b
1/3
362
What is the baryon number of t
1/3
363
What is the electric charge of d
-1/3
364
What is the electric charge of u
+2/3
365
What is the electric charge of s
-1/3
366
What is the electric charge of c
+2/3
367
What is the electric charge of b
-1/3
368
What is the electric charge of t
+2/3
369
What is the isospin of d
1/2
370
What is the isospin of u
1/2
371
What is the isospin of s
0
372
What is the isospin of c
0
373
What is the isospin of b
0
374
What is the isospin of t
0
375
What is the third component of isospin of d
-1/2
376
What is the third component of isospin of u
+1/2
377
What is the third component of isospin of s
0
378
What is the third component of isospin of c
0
379
What is the third component of isospin of b
0
380
What is the third component of isospin of t
0
381
What is the hyper charge of d
+1/3
382
What is the hyper charge of u
+1/3
383
What is the hyper charge of s
-2/3
384
What is the hyper charge of c
+4/3
385
What is the hyper charge of b
-2/3
386
What is the hyper charge of t
+4/3
387
What is the strangeness of d
0
388
What is the strangeness of u
0
389
What is the strangeness of s
-1
390
What is the strangeness of c
0
391
What is the strangeness of b
0
392
What is the strangeness of t
0
393
What is the charm of all quarks?
C = +1, others =0
394
What is the bottomness of quarks?
B = -1, others =0
395
What is the topness of quarks?
T = +1, others =0
396
What is the parity of quarks?
All = 1
397
What is Lorentz factor β formula?
β = p/E
398
What is Lorentz factor γ formula?
γ = E/M
399
How many meters in 1 barn?
10^-28m^2
400
How many meters in 1 μ barn?
10^-34m^2
401
How many meters in 1 picobarn?
10^-40m^-2
402
How to calculate luminosity?
L = (n*N1N2 * f)/A - n =number of bunches (usually 4-8) N = number of particles in collimating beams F = collision frequency or revolution frequency if cyclic A = effective cross section (beam spot area)
403
What is the nuclear force?
esidual of the strong force that binds quarks into nucleons (at a range of < 0.8 fm