Strong $\Lambda \pi$ Phase Shifts for CP Violation in Weak $\Xi \to \Lambda \pi$ Decay

Abstract

Strong interaction $\Lambda \pi$ phase shifts relevant for the weak nonleptonic decay $\Xi \to \Lambda \pi$ are calculated using baryon chiral perturbation theory. We find in leading order that the S-wave phase shift vanishes and the $J=\frac{1}{2}$ P-wave phase shift is $-1.7^{\mathrm{o}}$. The small phase shifts imply that CP violation in this decay will be difficult to observe. Our results follow from chiral $SU(2{)}_L\times SU(2{)}_R$ symmetry.

Comments: 8 pages, uses phyzzx, 2 figures included as uuencoded file, CALT-68-1940 and CMU-HEP94-22