Strength of the $Σ$ Single-Particle Potential in Nuclei From Semiclassical Distorted Wave Model Analysis of $(π^-,K^+)$ Inclusive Spectrum

Abstract

Semiclassical distorted wave model is developed to describe $(π^-,K^+)$ inclusive spectra related to $Σ^-$-formation measured at KEK with $p_π=1.2$ GeV/c. The shape and magnitude of the spectrum on $^{28}$Si target are satisfactorily reproduced by a repulsive $Σ$-nucleus potential, the strength of which is of the order of 30$\sim$50 MeV. This strength is not so strong as more than 100 MeV suggested by the estimation presented in the report of the experiment.