Introduction to Elementary Particle Physics.
Note 06 Page 1 of 8
Perturbation theory: rate of transitions and scattering amplitude
1.
The unperturbed Hamiltonian H0 has solutions:
0
+
n0 = e iE n t n (r ), where n m dV = nm
and the systems initial state i

Introduction to Elementary Particle Physics.
Note 05 Page 1 of 4
Cross section
Consider typical fixed-target scattering experiment:
There is a target slab of some material of thickness dx [cm] and very large area and with the density of
scattering centers

Introduction to Elementary Particle Physics.
Note 02 Page 1 of 4
Relativistic Kinematics
1905
Albert Einstein derives the special relativity theory from a single postulate:
speed of light is constant in all inertial reference frames.
A few important conse

Introduction to Elementary Particle Physics.
Note 03 Page 1 of 2
Relativistic Kinematics (sample problems)
Problem A
If neutrons were produced by the black hole in the center of our galaxy, with what energy would they
need to be produced in order to reach

Homework 3
25 + 19 (bonus) = 44 points
Problem 1 (4 points)
What were the main ideas behind the large incremental steps in accelerating particles?
a) from a few tens MeV earlier cyclotrons to a few hundreds MeV synchrocyclotrons
b) from synchrocyclotrons

Homework 2
15 + 8 (bonus) = 23 points
Problem 1 (4 points)
Find how thick a target of liquid Hydrogen should be to give 50-50 chances for scattering:
10 GeV protons (energy typical for cosmic rays)2 points
10 MeV neutrinos (~ the highest energy solar ne

Introduction to Elementary Particle Physics.
Note 04 Page 1 of 9
All you need to know about QM for this course
(q)
State of particles is described by a complex contiguous wave function (q) of some coordinates q. Coordinates q
could be (t,x) or (E,p), but

Introduction to Elementary Particle Physics.
Note 01 Page 1 of 8
Periodic Table of Particles/Forces in the Standard Model
Three Generations of Fermions: Pattern of Masses
1.0E+06
uct quarks
1.0E+05
dsb quarks
1.0E+04
charged leptons
1.0E+03
neutrino mass

Introduction to Elementary Particle Physics.
Note 08 Page 1 of 8
Forces via exchange of particles
Classical picture:
Particle A sets filed F permitting the whole of space
Particle B interacts with this field
Quantum Field Theory picture:
Particle A emits

Introduction to Elementary Particle Physics.
Note 07 Page 1 of 3
Particle lifetime, decay width, branching ratios
1.
Consider a particle P of mass M being at rest (E=M, p=0). Its wave function 0 is:
1
V
0 = e iEi t 0 ( x) = e iMt
2.
The decay products, f

Homework 1
20 + 5 (bonus) = 25 points
Problem 1 (1 point)
At what velocity, the relativistic expression for particle momentum p=mv becomes 1% different form the
non-relativistic formula p=mv.
Problem 2 (2 points)
Show that a photon of energy and scattered