Coulomb-assisted ${\mathbf{\Sigma }}^{-}$-nucleus bound states in the ($K^{-}$, ${\pi }^{+}$) reaction

Abstract

We study a production of Coulomb-assisted ${\Sigma }^{-}$-nucleus bound states by nuclear ($K^{-}$, ${\pi }^{+}$) reactions within a distorted-wave impulse approximation, so as to examine several types of the $\Sigma$-nucleus potentials that are consistent with the available ${\Sigma }^{-}$ atomic X-ray data and nuclear (${\pi }^{-}$, $K^{+}$) data. We theoretically demonstrate the inclusive ($K^{-}$, ${\pi }^{+}$) spectra of the ${\Sigma }^{-}$ unstable bound states on ${}^{28}$Si, ${}^{58}$Ni, and ${}^{208}$Pb targets at incident $K^{-}$ lab momenta $p_K=400\text{–}800$ MeV/c. The results show that the near-recoilless ($K^{-}$, ${\pi }^{+}$) reaction on the ${}^{58}$Ni target gives a clear candidate to confirm properties of the $\Sigma$-nucleus potentials having a repulsion inside the nuclear surface and an attraction outside the nucleus with a sizable absorption, whereas details of the repulsion of the potential at the nuclear center cannot be determined by the inclusive spectra. This is a promising attempt to extract properties of the $\Sigma$-nucleus potential in the nucleus at forthcoming J-PARC experiments, as a full complement to the analyses of the ${\Sigma }^{-}$ atomic and (${\pi }^{-}$, $K^{+}$) data.

References in corpus (7)

• In-medium nuclear interactions of low-energy hadrons
• Baryon-baryon interactions in the SU6 quark model and their applications to light nuclear systems
• An Effective Equation of State for Dense Matter with Strangeness
• Constraints on $\Sigma$ Nucleus Dynamics from Dirac Phenomenology of ${\Sigma }^{-}$ Atoms
• Study of the Sigma-nucleus potential by the (pi^-,K^+) reaction on medium-to-heavy nuclear targets
• Strength of the $\Sigma$ Single-Particle Potential in Nuclei From Semiclassical Distorted Wave Model Analysis of $({\pi }^{-},K^{+})$ Inclusive Spectrum
• Isospin Properties of ($K^{-}$, $N$) Reactions for the Formation of Deeply-bound Antikaonic Nuclei

Cited by in corpus (1)

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