$\pi \Lambda$ phase shifts and CP Violation in $\Xi \to \pi \Lambda$ Deca

Abstract

The CP violation asymmetry parameters in $\Xi \to \pi \Lambda$ nonleptonic decays are presently being measured by the HyperCP experiment. In the study of these CP violation parameters, the strong $S$ and $P$ phase shifts for the $\pi \Lambda$ final-state interactions are needed. In this work, these phases are calculated using an effective chiral Lagrangian model, that considers $\Sigma$, ${\Sigma }^{\ast }$(1385), and the $\sigma$-term, in the intermediate states. The $\sigma$-term is calculated in terms of the scalar form factor of the baryon.

5 pages, 2 figures