Griffiths Introduction to Elementary Particles · Problem 4.14

Bound States — David J. Griffiths

Physics — QFT · clebsch-gordan-spin-3half-spin-2

Problem

Suppose you had a particle of spin

\frac{3}{2}

, and another of spin 2. If you knew that their orbital angular momentum was zero, and that the total spin of the composite system was

\frac{5}{2}

, and its

z

component was

-\frac{1}{2}

, what values might you get for a measurement of

S_z

on the spin-2 particle? What is the probability of each? Check that they add up to 1.