ParticleZoo
The Standard ModelThe Standard ModelThe body of currently accepted views of structure and interactions of subatomic particles.
Interaction
Coupling Charge
Field Boson
Mass/GeVc-
2J
strong color gluons (8) 0 1-
elmgn electric (e) photon () 0 1-
weak weak W+, W-, Z0 100 1
Interactions
Fermions Family Q/e Color Spin Weak
Isospin
Quarks u c td s b
+2/3-1/3 r, b, g ½ ½
Leptons
e
e
0-1 none ½ ½
Particles
Weak interactions violate certain symmetries (parity, helicity) see later
The Standard Model ct’dThe Standard Model ct’dCombine weak and elm interactions “electro-weak”Type of isospin-symmetry: same particles carry weak and elm charge.
Force range Electromagnetic: ∞ Weak: 10-3fm Strong qq force increases with distance
2mqc2
Vqq
r1 fm
0
There are no free quarks. All free physical particles are colorless.
Confinement and StringsConfinement and StringsWhy are there no free quarks? Earlier: symmetry arguments.Property of gluon interaction between color charges (“string*-like character). Q: Can one dissociate a qq pair?
energy in strings proportional to length 0.9GeV/fm
field lines: color strings
successive q/q-bar creation, always in pairs!
Baryon Production with Strong InteractionsBaryon Production with Strong Interactions
Typically: Energetic projectile hits nucleon/nucleus, new particles are produced.
Rules for strong interactions: •Energy, momentum, s, charge, baryon numbers, etc., conserved•q existing in system are rearranged, no flavor is changed•q-q-bar pairs can be produced
uu
u
d_d
uu
u
s_s
p
Example
p K
annihilation creation d, d-bar s, s-bar
time
Baryon ResonancesBaryon Resonances
Typically: Energetic projectile hits nucleon/nucleus, intermediate particle is produced and decays into other particles.Example
p p
u u u ++
u u d
_ d u
time
u u d
_ d u
p +
p +
++ produced as short-lived intermediate state, = 0.5·10-23scorresp. width of state: = ħ/ = 120 MeVThis happens with high probability when a nucleon of 300 MeV/c, or a relative energy of 1232 MeV penetrates into the medium of a nucleus. Resonance
Conservation LawsConservation LawsQuantum numbers are additive.
Anti-quarks have all signs of quark quantum numbers reversed, except spin and isospin.Derived quantities:
3 (1 2) *Charge Q e T B S C B Top
Hypercharge Y B S
In a reaction/transmutation, decay, the following quantities are conserved (before=after):•The total energy, momentum, angular momentum (spin),•The total charge, baryon number, lepton number
Conservation Laws in DecaysConservation Laws in DecaysDecay A B + C possible, if mAc2 ≥ mBc2 + mCc2
Otherwise, balance must be supplied as kinetic energy.
22 2 2
, :
kin
Relativistic energy of particlewith rest massm momentum p
E pc mc E mc
Example: Conservation of charge, baryon number, lepton number in neutron decay.
0 0 0 0 01 1 0 0 1 1 0 1 00 0 1 1 0 0 0 0 00 0 0 0 0 0 1 0 1
e
e
capn decan p e p n
Q e e e eBLL
y ture
Weak InteractionsWeak Interactions10-5 weaker than strong interaction, small probabilities for reaction/decays. Mediated by heavy (mass ~100GeV) intermediate bosons W± ,Z0. Weak bosons can change quark flavor
u
d
W+ W- Z0
u
s
u
u
up-down strange-non-strange no flavor change conversion conversion carries +e carries –e carries no charge
Decays of WDecays of W± ± and Zand Z0 0 BosonsBosons
0
, , , , , ,
, '
, , , , , , ), ( , ,
, ), ( ,
, ( , ), ( , ), , ), ( , , ( ,
, , ,
), ( ,
, , , ,
, , ,
, , , , ,
,
,
e e
e
el eW
q q d u s c b
l e leptonic decaysW
q q d u s c b t hadronic decay
l l e e
Z
q q d d u u s s c c b b t t
t
s
)
Hadronic decays to quark pairs are dominant (>90%), leptonic decays are weak. All possible couplings:
Examples of Weak DecaysExamples of Weak DecaysCan you predict, which (if any) weak boson effects the change?
n
? ??
p
p e-_e
p
e-
e
tim
e
n-decay? neutrino scattering neutrino-inducedoff protons? reaction off e-?
Examples of Weak DecaysExamples of Weak DecaysAnswer: Yes, all processes are possible. These are the bosons,
n
W- W+Z0
p
p e- _e
p
e-
e
tim
e
n-decay neutrino scattering neutrino-inducedoff protons reaction off e-
Method:Method: •Balance conserved quantities at the vortex, where boson originates. Remember W± carries away charge ±|e|.•Balance conserved quantities at lepton vortex.
Particle ProductionParticle Production
e- e+
- +
e- e+
fermion
e- e+
- +
anti-fermion
electromagnetic weak example
In electron-positron collisions, particle-anti-particle pairs can be created out of collision energy, either via electromagnetic or weak interaction.
collision energy (GeV)
prob
abilit
y
The EndThe End