$\pi \Lambda$ 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 $\Sigma$, $\Sigma^*$(1385), and the $\sigma$-term, in the intermediate states. The $\sigma$-term is calculated in terms of the scalar form factor of the baryon.