English

Discrimination of $\Sigma$-nucleus potentials in the angular distribution of elastic scattering of $\Sigma^-$ hyperons from nuclei

Nuclear Theory 2015-06-03 v2

Abstract

We theoretically investigate the elastic scattering of 50-MeV Σ\Sigma^- hyperons from 28^{28}Si and 208^{208}Pb in order to clarify the radial distribution of Σ\Sigma-nucleus (optical) potentials. The angular distributions of differential cross sections are calculated using several potentials that can explain experimental data of the Σ\Sigma^- atomic X-ray and (π\pi^-, K+K^+) reaction spectra simultaneously. The magnitude and oscillation pattern of the angular distributions are understood by the use of nearside/farside decompositions of their scattering amplitudes. It is shown that the resultant angular distributions can considerably discriminate among the radial distributions of the potentials that have a repulsion inside the nuclear surface and an attraction outside the nucleus with a sizable absorption.

Keywords

Cite

@article{arxiv.1201.2214,
  title  = {Discrimination of $\Sigma$-nucleus potentials in the angular distribution of elastic scattering of $\Sigma^-$ hyperons from nuclei},
  author = {Toru Harada and Yoshiharu Hirabayashi},
  journal= {arXiv preprint arXiv:1201.2214},
  year   = {2015}
}