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

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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6 pages, to be published in Prog. Theor. Phys

Scientific paper

10.1143/PTP.112.895

Semiclassical distorted wave model is developed to describe $(\pi^-,K^+)$ inclusive spectra related to $\Sigma^-$-formation measured at KEK with $p_\pi =1.2$ GeV/c. The shape and magnitude of the spectrum on $^{28}$Si target are satisfactorily reproduced by a repulsive $\Sigma$-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.

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