Parity violation in lambda baryon decay

1. May 21, 2017

Veles

1. The problem statement, all variables and given/known data

In the weak decay of the lambda baryon to a proton and pion, parity is not conserved, allowing for s and p waves in the orbital wave function of the pion-proton system. Using non-relativistic wavefunctions, find the angular distribution of the protons relative to the lambda's spin, which points along the z-axis.

2. Relevant equations

3. The attempt at a solution
Define the z'-axis as the direction of the proton's momentum.
Define L_z' as the projection of the orbital angular momentum of the pion-proton system along z'.
Define s_z' as the projection along the z'-axis of the proton's spin.
Define J_z' as the total angular momentum along z'.

J_z' can be +1/2 or -1/2 (so J=1/2, and angular momentum is conserved).
Therefore the following combinations of [L_z', s_z'] are allowed: [1, -1/2], [0,1/2], [0,-1/2], [-1, 1/2].

Chirality is conserved at the weak interaction vertices. However, as it is the constituent quarks interacting, not the proton/baryon, I can't see what limitations this places on the chirality of the proton.

2. May 26, 2017

PF_Help_Bot

Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.