$\Xi$-nucleus potential and $(K^{-},K^{+})$ inclusive spectrum at ${\Xi }^{-}$ production threshold region

Abstract

The $(K^{-},K^{+})$ ${\Xi }^{-}$ production inclusive spectrum is reinvestigated in view of the very weak $\Xi$-nucleus potential predicted by microscopic calculations with the SU${}_6$ quark-model baryon-baryon interaction. The inclusive spectrum is evaluated by the semiclassical distorted wave (SCDW) method. The explicit comparison of the strength function with that of the Green-function method demonstrates the quantitative reliability of the SCDW approximation. It is presumed that the presently available data at the $\Xi$ production threshold region does not necessarily imply the attractive strength of about 15 MeV for the $\Xi$-nucleus potential in a conventional Woods-Saxon form. Instead, an almost zero potential is preferable.

10 pages including 5 figures

References in corpus (1)

• Baryon-baryon interactions in the SU6 quark model and their applications to light nuclear systems

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• Comparative study of hyperon-nucleon interactions of quark model and chiral effective field theory by low-momentum equivalent interactions and $G$ matrices
• $\Xi$ hyperons in the nuclear medium described by chiral NLO interactions
• Investigation of ${\Xi }^{-}nn$ ($S=-2$) Hypernucleus in Low-energy Pionless Halo Effective Theory