PHYS 560: Assignment 1 - University of Washington

PHYS 560: Assignment 1

Martin J. Savage September 30, 2009

Abstract The first assignment for Nuclear Physics, PHY560, Autumn 2009.

September 2009

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Assignment 1: Nuclear Physics, Phys 560 due: Friday October 9

1 Question 1: Isospin

In addition to the nucleons, pions and nucleon resonances we have talked about in class there are other strongly interacting particles. There are hadrons that contain one or more quarks that are not up or down. The , and are hadrons that carry the strangeness quantum number. Both the and have isospin I = 1, while the has I = 0.

1. Find the tensor Sab that contains the fields using the techniques presented in class.

2. Assuming exact isospin symmetry, find the relations between the decay rates for + 0+ and - -0. Check your result by using both methods outlined in class.

3. Can these rates be related to that for by isospin? If so what are the relations?

2 Question 2: Kinematics

2.1 Resonance Production

A beam of +'s is incident upon a hydrogen target at rest in the laboratory. Find the minimum beam energy required to produce a resonance. Use m = 140 MeV, Mp = 940 MeV and M = 1230 MeV. Find the minimum energy required to produce a J/, use mJ/ = 3096.9 MeV.

2.2 Pair Production

A proton beam is incident upon a hydrogen target at rest in the laboratory. Find the minimum beam energy required to produce an anti-proton, p (which has the same mass as the proton by CPT).

2.3 Nuclear Matter

Problem 1.1 (Wong).

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2.4 Nuclei

Problem 1.2 (Wong)

2.5 Covariant Derivatives

Construct the covariant derivative associated with objects that transform as a 6 under local SU(3) gauge transformations.

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