Texts: The Ideas of Particle Physics by Coughlan & Dodd (2nd edition)
Note: we will typically be covering 3 chapters per lecture, which is typically
about 10-15 pages.

PDG= Particle Data Booklet

class 1:
Read Part 0: pp.1-35

HW:
1) What is wrong with Fig. 3.1 p.17?
2) Practice your special relativity: old exam #11

class 2:
Read thru (including): Ch. 6 (p. 49)
If you look in Griffiths E&M p.462 Eq.11.70 (Larmor formula), you find
the formula for the total light power radiated from a (non-relativistic [NR])
accelerating charge...Most folks would write this result as:

P = (2/3) (q^2/4\pi\epsilon_0) (a^2/c^3)

Consider what happens when a light wave goes by a free, initially stationary
electron.  The light's E field will cause the electron to accelerate which will
then produce new light at the above rate.  (Note: light's B field will produce
a force --and hence an acceleration-- on a moving electron; in the NR limit
this effect is small.)  We are free to consider this new light as scattered
light from the initial wave. (Certainly conservation of energy assures us
that the incoming light must be diminished by this process.)  
The light wave has an average intensity (Watts/m^2) given by:

I= (1/2) c\epsilon_0 E_0^2

(Griffiths, p.381, Eq. 9.63) where E_0 is the light's electric field amplitude.
The scattered light power is equivalent to the light wave's power falling on
a small area (which is called the Thomson cross section of the electron).

Calculate the average radiated power due to wave caused acceleration

Calculate the Thomson cross section 

Draw a Feynman diagram that corresponds to this process

Note that E_0 should cancel out of this result.
You can find the correct result in the Physical Constants table of PDB, but
my favorite way to write the result is:

\sigma_T = (8\pi/3) \alpha^2 \lambda_e^2

where \alpha is the fine structure constant and \lambda_e is the electron's
Compton wavelength

class 3:
old exam #1
Consider the weak gauge bosons: W and Z.  Look up (and record) the mass and width of 
these particles both our the textbook's Appendix 5 and in PDB.
A) Calculate the lifetime of the W from from its width.  Assuming the W is
moving at c (but neglecting any time dilation effect), what is the range of the W
before it decays?
B) Assume the that data for the W in Appendix 5 results from sampling of a
normal distribution, with standard deviation given by the width and SDOM given by
the reported error in the mass.  How many Ws had been detected by 1991 (publication date of book)?
Make the same assumptions for the data in the 2004 PDB. How many Ws had been detected by 2004?

In the hall between our classroom and the Jacobs Ladder find the "Chart of Fundamental Particles"
(from 1969!).  Find an report a discrepancy between this chart and what we currently believe.

class 4:
old exam #13 (note the density of Carbon can be found in the PDB)

The SU(3) matrices may also be found here:
http://pdg.lbl.gov/2005/reviews/su3rpp.pdf

where: G=(1/2) \lambda

see Table 9.1 and Eq. 9.7 in handout (the structure constants fabc)
Confirm Eq. 9.7 for the last two entries in Table 9.1: f458 and f678

see Eq. 9.8...
Show that Uħ works as expected for a raising/lowering operator of T3 and Y 

class 5:
old exam #3,14,15

class 6:
Note: discussion of CP violation in PDG

consider the three state system via mathematica

Let the Hamiltonian be the real symmetric matrix:
h={{0,.01,0},{.01,1,.1},{0,.1,10}}
{{e1,e2,e3},{v1,v2,v3}}=Eigensystem[m]

Notice that the eigenvectors are real and orthonormal
Since they are real we can avoid some Conjugate[]

Explain why the following code plots the probability of finding the particle in the 
{1,0,0} state at a time t, given that it started in the {1,0,0} state.

a1=v1.{1,0,0}
a2=v2.{1,0,0}
a3=v3.{1,0,0}
psi[t_]=a1 v1 Exp[-I e1 t] + a2 v2 Exp[-I e2 t] + a3 v3 Exp[-I e3 t] 

Plot[Conjugate[psi[t].{1,0,0}] psi[t].{1,0,0},{t,0,1}]

Notice that with this h, the oscilation has a small amplitude.
Find an h that produces big amplitude oscillations and display a Plot of those
oscillations.

class 7:
Note: according to the syllabus we have Midterm Exam just before Thanksgiving: Monday 21-Nov

what's wrong with Fig 18.2 p.86?

class 8:

Recall that the SU(3) lambda matrices may be found here:
http://pdg.lbl.gov/2005/reviews/su3rpp.pdf

They are closely related to the G matrices from the handout.
G=(1/2) lambda

For any one of the lambda find a reduced expression for:
U=Exp[ I x lambda ]
Show that the result is unitary for any x.

Calculate: I U D[U^-1,x]...is the result the expected hermitian matrix?

class 9:
READ: http://hepwww.ph.qmw.ac.uk/epp/higgs.html
In 1993, the then UK Science Minister, William Waldegrave, issued a 
challence to physicists to answer the questions 'What is the  Higgs boson, 
and why do we want to find it?' on one side of a single sheet of paper.

Which one do you think is the best and why

class 10:
happy thanksgiving

class 11:
Consider the (unnormalized) "Yukawa" charge density:
rho[r_] = Exp[- m r]/r
Find the corresponding form factor (i.e., find the Fourier transform
of rho).  Note that one could normalize this charge density and then
automatically get F normalized to F(0)=1, however it's easier just to
use the unnormalized rho and then find the multiplicative constant that
results in F(0)=1.  Note that:
-D[rho[r],r]=Exp[- m r]
so you can differentiate your results to find the form factor for
the exponential rho.  This should match the experimental result described in
class.