Issued Wed, Jan 29 Due Wed , Feb 12
Most of the hints are already given in the homework set itself. Here are
just a couple more random comments:
#1) Be careful to get the sign of the M levels correct in your
sketch in part a.
#2) I found this to be a pretty tricky problem, although in the end I
guess the solution looks pretty straightforward.
b) If you worked in the CM frame in part a), be sure to translate back
to the lab frame for the final answer, which is supposed to be the
kinetic energy of the initial pion. (Also, remember kinetic energy is
always just total energy minus rest mass)
3b) As I said in class, Delta t for a decaying particle is proportional
to its mean lifetime. (Slightly longer...)
4) Threshold means that, in the center of mass frame , the
produced particles just sit there. (That's the minimum energy they can
possible have)