Strong ΛπΛπ Phase Shifts for CP Violation in Weak Ξ→ΛπΞ\rightarrow Λπ Decay

preprint1994arXivOpen access

Abstract

Strong interaction ΛπΛπ phase shifts relevant for the weak nonleptonic decay Ξ→ΛπΞ\rightarrow Λπ are calculated using baryon chiral perturbation theory. We find in leading order that the S-wave phase shift vanishes and the J=12J={1 \over 2} P-wave phase shift is −1.7o-1.7 ^{\rm 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×SU(2)RSU(2)_L\times SU(2)_R symmetry.

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