Physics 567, Particle Physics: Assignment #6
due Thursday April 4, 2013
1. (a) The electric current for a Dirac particle with charge e is given by j = e .
Evaluate it to leading order in particle velocity for the Dirac state with spinors u(p1 ) and
u(p1 )
Physics 567, Particle Physics: Assignment #7
due date to be announced
1. (a) Using Maple or some similar program, show that the factors 2(S+1)(2S!)2 (2pR)2(S1)
in Fermis Coulomb correction function as applied to neutron decay are very close to 1.
(See p.
Solution to HW 2
February 18, 2013
Problem 1
4.1
movement of corners
A A, B B, C C
A A, B C, C B
A B, B A, C C
A B, B C, A C
A C, B B, C A
A C, B A, C B
symmetry operation
I
Ra
Rc
R
Rb
R+
4.2
I
R+
R
Ra
Rb
Rc
I
I
R+
R
Ra
Rb
Rc
R+
R+
R
I
Rc
Ra
Rb
R
R
I
R+
R
Physics 567, Particle Physics: Assignment #7
due date to be announced
1. (a) Using Maple or some similar program, show that the factors 2(S+1)(2S!)2 (2pR)2(S1)
in Fermis Coulomb correction function as applied to neutron decay are very close to 1.
(See p.
Physics 567, Particle Physics: Assignment #4
due Tuesday Feb. 26, 2013
1. (a) Write a program to compute the 2 for the quark model predictions versus
measured values of the meson masses in table 5.3 of Griths. Recall that 2 is dened
as the sum over observ
Physics 567, Particle Physics: Assignment #5
due Thursday Mar. 21, 2013
1. Recall the Mandelstam invariants s, t, u (see problem 3.25). (a) Generalize problem
3.26 to nd the expression for t in terms of momenta |p1 |, |p3 |, masses, and scattering
angle i
Physics 567, Particle Physics: Assignment #3
due Tuesday Feb. 12, 2013
1. (a) Evaluate exp(iI2 ) for a general angle , and show that the result for =
agrees with that given in lecture. (Hint: use Maple or Mathematica to convince yourself
2
4
6
3
5
2
that
Physics 567, Particle Physics: Assignment #2
due Friday Jan. 31, 2013
1. Problems 4.1, 4.2, 4.3. Note that this is the same as the group of permutations of
three objects (A, B, C). For problem 4.2, you can stop lling out the table as soon as you
have enou
Physics 567, Particle Physics: Assignment #1
due Friday Jan. 18, 2013
1. Problems 1.3, 1.4, 1.5, 1.6, 1.9. These are all short and easy. Concerning, 1.5,
it is not so much a mystery as Griths implies. There is a highly-developed formalism
called chiral pe
Physics 567, Particle Physics: Assignment #2
due Thursday Jan. 30, 2013
1. Problems 4.1, 4.2, 4.3. Note that this is the same as the group of permutations of
three objects (A, B, C). For problem 4.2, you can stop lling out the table as soon as you
have en
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