On Quasibound N* Nuclei

Abstract

The possibility for the existence of unstable bound states of the S11 nucleon resonance N${}^{\ast }$(1535) and nuclei is investigated. These quasibound states are speculated to be closely related to the existence of the quasibound states of the eta mesons and nuclei. Within a simple model for the N N${}^{\ast }$ interaction involving a pion and eta meson exchange, N${}^{\ast }$-nucleus potentials for N*-${}^3$He and N*-${}^{24}$Mg are evaluated and found to be of a Woods-Saxon like form which supports two to three bound states. In case of N*-${}^3$He, one state bound by only a few keV and another by 4 MeV is found. The results are however quite sensitive to the N N${}^{\ast }$ $\pi$ and N N${}^{\ast }$ $\eta$ vertex parameters. A rough estimate of the width of these states, based on the mean free path of the exchanged mesons in the nuclei leads to very broad states with $\Gamma \sim$ 80 and 110 MeV for N*-${}^3$He and N*-${}^{24}$Mg respectively.

arXiv commentPresented at the Jagiellonian Symposium on Fundamental and Applied Subatomic Physics, Cracow, Poland, June 2015; to be published in Acta Physica Polonica B (2016)

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• Momentum distribution of N${}^{\ast }$ in nuclei
• Status and Perspectives of the Search for Eta-Mesic Nuclei