Semiclassical Distorted Wave Model Analysis of the $(π^-,K^+)$ $Σ$ Formation Inclusive Spectrum

Details Semiclassical Distorted Wave Model Analysis of the $(π^-,K^+)$ $Σ$ Formation Inclusive Spectrum Semiclassical Distorted Wave Model Analysis of the $(π^-,K^+)$ $Σ$ Formation Inclusive Spectrum

2006-11-22

arxiv.org/abs/nucl-th/0611080v1

Phys.Rev.C74:064613,2006

Physics

Nuclear Physics

Nuclear Theory

12 pages, 10 figures, accepted in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.74.064613

$(\pi^-,K^+)$ hyperon production inclusive spectra with $p_\pi =1.2$ GeV/c measured at KEK on $^{12}$C and $^{28}$Si are analyzed by the semiclassical distorted wave model. Single-particle wave functions of the target nucleus are treated using Wigner transformation. This method is able to account for the energy and angular dependences of the elementary process in nuclear medium without introducing the factorization approximation frequently employed. Calculations of the $(\pi^+,K^+)$ $\Lambda$ formation process, for which there is no free parameter since the $\Lambda$ s.p. potential is known, demonstrate that the present model is useful to describe inclusive spectra. It is shown that in order to account for the experimental data of the $\Sigma^-$ formation spectra a repulsive $\Sigma$-nucleus potential is necessary whose magnitude is not so strong as around 100 MeV previously suggested.

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