PH561 Introduction to Elementary Particle Physics

Assignment #1: Due Monday 02/02/04

• Problems of the form xx.yy refer to end of chapter problems in Perkins 4th. Ed.
• "Think about..." questions are just that, just to think about. You don't have to write anything down.

1. Derive the relativistic equation relating total energy, rest mass and momentum.  What is it in "natural " units? What is it for photons? 
           [Ans. E² = p²c² + m²c⁴]
2. Derive the relativistic equation for the invariant mass of a pair of photons with 4-momenta (E_i,p_i) and (E_j,p_j) where the angle between them is q_ij. Think about what this is good for experimentally...
           [Ans. m_ij² = 2E_iE_j(1-cosq_ij)]
3. 1.1
4. 1.2
5. 1.3
6. 1.4
7. 1.7
8. 1.8

Brownie points: 1.10