Particles Flashcards
For a reaction why is the mass of the products larger than the mass of the reactants
The K.E. of the reactants is converted into mass
What are Cosmic Rays
Charged particles which have the highest energies ever to be observed (10^8 times CERN)
What was the problem associated with the origin of cosmic rays
B-fields in extragalactic space, the milky way and surrounding the earth deflect and distort the parths of the charged particles
How was the origin of cosmic rays figured out
High-energy neutrinos produced by the same cosmic accelerators preserve their directional information. These were traced back to a Blazar.
What is a blazar and how does it produce cosmic rays
A feeding super massive black hole at the centre of galaxies which launch powerful jets which accelerate protons (ie produce cosmic rays). When it is directed in the direction of eath the feeding black hole is called a Blazar. The Collisions between accelerated protons produce pions which leave neutrinos and gamma rays as decays products which move in the direction of the jet.
What are the exchange particles of the strong force and when are the mediators used
Mesons - interact between nuclei
Gluons - interact between quarks
Why can bound n-p states exist but not p-p or n-n states not
Due to pauli’s exclusions principle for both identical fermions to exist in the same quantum state. Therefore the total spin will be equal to zero. S = 0 potential well, however, is not deep enough to form a bound state whereas an S = 1 state (like deuteron) is.
Definition: Binding energy
The energy required to split nucleus into its elementary constituents. (or energy released when free protons and neutrons form a nucleus)
What are the 3 types of beta decay
Beta minus
Beta plus
K capture
In the Semi- empirical mass formula what do the following terms represent aA -bA^2/3 -s(N-Z)^2 /A -dZ^2 /A^1/3 Pairing term/A^1/2
aA - Bulk Term
a: Basic Binding energy per nucleon
analogy with bulk cohesive energy of liquid
-bA^2/3 - Surface term
Nucleons near the surface are less well bound (fewer
neighbours)
-ve as there is less binding energies for these nucleons
Contribution = proportional to SA = prop. to R^2 = prop
to A^2/3
-s(N-Z)^2 /A - Symmetry Term
Favours N = Z
Q-M explanation
-dZ^2 /A^1/3 coulomb term
Nucleus has a charge Ze in small vol. this is
energetically unfavourable. therefore this term is
proportional to the energy of the uniformly charged
sphere
Pairing Term
Empirical favours even-even nuclei over odd-odd and
odd-even
What does the liquid drop model not cover
Light Nuclei
Magic Numbers
Spin
Excited States
How is Nuclear spin-orbit coupling different to the one in atomic physics
i) not electromagnetic in origin
ii) Produces large splits which increase with l
iii) l +1/2 level is lower for nuclear coupling
What do magic numbers correspond to
Filling up to levels with a larger average gap to the next level there for it is more stable
Why does nuclear spin-orbit coupling explain the presence of magic numbers
S-O coupling splits the energy levels into discrete bands. Bands with a large gap in between are considered shells and therefore extra stable.
Rules when filling up shells of nuclear models
(a) Filled LEvels have a total angular momentum of 0
(b) Successive protons and neutrons pair off to give
angular momentum = 0
All even-even nuclei: J= 0
Even - odd: J=j of unpaired nucleon
odd - odd: no general rule
What are the different classification of particles
fermions and bosons ( half and integer spin respectively) Bosons: mesons and gauge bosons Fermions: Baryons, leptons,
Baryons and Mesons give hadrons
Explain why the cross section against energy spectrum (in neutron reactions) for light nuclei feature spikes at very large energies, compared to the heavy nuclei spectra which feature many peaks closely spaced but at much lower energies.
Heavy nuclei have more bound energy levels and so transitions between energy levels result in smaller changes in energies hence the spikes at smaller energies and more frequent spikes in the spectra.
Light nuclei feature less energy levels and so the jumps between give much higher energies.
How can the Omega - baryon (SSS ) exist? Why doesnt it violate paulis exclusion principle?
new quantum number ‘colour’ required to explain the existence. Each S quark in the omega - baryon has a different colour, so no violation of pauli as not all quantum numbers identical.
How do you work out baryon number and lepton number?
Baryon number= 1/3 ( no of quarks - no of anti quarks)
Electron Lepton number = Ne - Ne+ + N(electron neutrino) - N(electron anti neutrino).
etc
List the 4 fundamental forces and their associated properties
Gravity - mediator graviton - range inf
Couloumb force / electro magnetic force - mediator photons - range inf
Weak force - mediator w+ w- z0 gauge bosons - range 10^-18m
Strong force - mediators: gluons in quark and mesons in nuclei - range 10^-15m strong force additional property of asymptotic freedom (like a spring, increases in strength as separation increases).
Which of the fundamental forces can leptons feel
All except the strong force
What is the difference between a decay and a reaction
decay- going from 1 entity to multiple products
reaction - going from two entities to reaction products
List the conservation laws
Conservation of energy -angular momentum - quark flavour (except in weak interactions)- charge - baryon number - lepton number
Derive an expression for the lifetime of a virtual particle of mass m0, comment on the case of virtual photons.
HUP delta E delta T = h bar /2
delta E = m0c^2
solve for delta T
Describe the one quantum mechanical exception to the conservation of energy law
Can have extra energy for time delta T
if obeying the HUP
Explain why the product(s) can not have a greater mass energy for a decay than the reactant(s) but can for a reaction?
In a reaction the initial reactants can have some KE and so can compensate for the products greater total mass energy and so conservation of energy not violated.
In a decay, no
If a process does not conserve charge flavour, what does that imply?
It must be a weak force process
In neutron reactions, what is the difference for the peaks shown on a cross-section against kinetic energy plot
Light Nuclei Widely spaced Broad Low ( few barns Heavy Nuclei Closely spaced Narrow High (10^3 - 10^4 barns)
Why is there resonant peaks for a cross-section against energy graph for neutron reactions
There is a formation of a compound nucleus. The neutron is absorbed into the nucleus and shares the energy between the nucleons exciting the nucleus before the nucleons have enough energy to escape.
When does resonance occur
Initial KE ( in CM frame) matches the energy of the excited state of the compound nucleus.
What are the two cases for nuclear fission
Spontaneous Fission
Some heavy nuclei are unstable and decay
Induced Fission
Follows a nuclear reaction ( Usually neutron + heavy
nucleus) causing the nucleus to be more unstable
Considerations for a good moderator material
- Inexpensive and easily obtained
- Low radiative capture cross-section
- Small A, Maximises energy transfer per scattering
- High density
When does Fission become the dominant decay mode
A>= 260
What happens following fission
- “Prompt” neutrons boil-off (fast ~ 10^-20 s)
- gamma- decay to ground state (fast ~ 10^-16s)
- Products = neutron-rich: beta decay to beta- stability
line (slow mins/years) - ‘Delayed neutrons’ emitted sometimes after beta decay
(important for control of nuclear power plants)
What controls the rate of the PP1 chain
Initial p + p interaction is controlled by the weak interaction which is slow and there for is the limiting step
What is the most suitable reaction for fusion reactors
Deuterium - Tritium (D-T) reaction
- High Q (17.6MeV)
- Lower Barrier
What are the requirements for a nuclear reactor
1) Plasma Temperature must be high (>10^8K)
2) Plasma density n (ions/m^3) must be high
3) Must hold plasma for sufficient time ( Confinement time)
Types of Confinement Methods for reactors
Magnetic Confinement Fusion (MCF) Plasma confined in a magnetic field (in a tokomak) held in a torus Inertial Confinement Fusion (ICF) DT mixture in a plastic sphere Vaporised by intense energy burst, applied symmetrically Pellet implosion generates
Why is 238Uranium fissionable but not a fissile material whereas 235U is
U235 is a fissionable nuclide that can be induced to fission with low-energy thermal neutrons with a high probability (definition of fissile) whereas U238 can only be fissionable with high energy neutrons
How can neutrons interact with nuclei
Elastic Scattering
Overall KE conserved – Target recoils, causing neutron
to lose KE
Inelastic Scattering
Neutron loses KE ( daughter nucleus in excited state)
Radiative Capture
Incident neutron absorbed compound nucleus forms
and rapidly decays to ground state resulting in gamma
emission. Resonance occurs
Fission
Neutron leaves target at energy state above
spontaneous fission barrier. Short time scale
What is the role of the moderator
Slow down the fast neutrons to lower energies in the thermal regime where the cross-section for inducing nuclear reactions is higher
when is energy loss at a minimum/maximum for Elastic scatter between a neutron and a moderator
Min. = grazing angle collisions Max. = Head-on collisions
What is the average logarithmic decrement
Mean energy reduction per event
Considerations for a good moderator material
- Inexpensive and easily obtained
- Low radiative capture cross-section
- Small A, Maximises energy transfer per scattering
- High density
What does neutron density in a reactor depend on a balance of
-Production
i.e. the slowing down at the energies considered
-Absorption
radiative capture
-Leakage
Neutrons escaping, relates to the geometry (smaller
reactor core = more probable leakage) of the reactor
and to the properties of the material
How does neutron density vary with distance from the source
inversely
Explain Super-critical state and sub-critical state
-Super-crit
Not enough neutron leakage from the core. Neutron
level rises unless control measures are taken, i.e.
insertion of control rods
-Sub-crit
Leakage is too large, neutron population will decay
away, unless steps are taken to increase thermal
neutron production
What do baryons normally decay into, as compared to mesons?
Mesons decay to leptons and photons
baryons to protons or anti protons, leptons and photons
What is a cp transform?
flipping all the coordinates and charges
What does symmetry under CP transform mean?
A process and its CP transform equivalent is equally likely to occur, i.e its half life or cross section is equivalent.
How can you identify what reaction has occured?
Weak interaction - neutrino and anti neuntrinos involved and change of quark flavour
Em interaction - Real photon is emitted or absorbed
Quark flavour is conserved and no photon => strong force
Drawn a feynman diagram for a process involving weak force, em force and strong force
Here is the relevant bit in the lectures:
https://uniofbath.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=0b27e475-a1f2-4f2a-b471-aadb00a9deb3
@37:45
What process is not invariant under a CP transform
Weak decay
Define the decay constant lambda and its relation with the half life
Probability of a nuclei decaying per unit time. lambda = ln 2/ T halflife
What is inertial confinement fusion as compared to magnetic confinement fusion
Magnetic confinement fusion is an approach to generate thermonuclear fusion power that uses magnetic fields to confine fusion fuel in the form of a plasma.
Inertial confinement fusion (ICF) is a type of fusion energy research that attempts to initiate nuclear fusion reactions by heating and compressing a fuel target, typically in the form of a pellet that most often contains a mixture of deuterium and tritium.
How are quarks held together as compared to nuclei?
Gluons hold quarks and mesons hold nuclei
Why can you not have a nucleus containing 2 protons only or 2 neutrons only?
Pauli exclusion principle, for a nuclei only containing N-N or P-P, the two nucleons would have to be off opposite spin, a system with S=0 is less bound than a system of S=1 and so systems of s=1 are more stable.
Roughly what energy would electrons that are to be used for determining the charge distribution of a nuclei be required to be at?E
E=p^2c^2+m^2c^4
lambda = h / p
lambda roughly equal to nuclear diameter 10^-15