Structure of $\eta^{\prime}$ mesonic nuclei in a relativistic mean field theory. (14th May 2019)

• Record Type: Journal Article
• Authors: Jido, Daisuke; Masutani, Hanayo; Hirenzaki, Satoru
• Is Part Of: Progress of theoretical and experimental physics. Volume 2019:Number 5(2019)
• Publication Date: 2019-05-14
• Subjects: D33; Physics -- Periodicals; Mathematical physics -- Periodicals; 530.05
• DOI: 10.1093/ptep/ptz031
• Languages: English
• ISSNs: 2050-3911

Abstract

Abstract: The structure and the energy spectrum of the$\eta^{\prime}$ mesonic nuclei are investigated in a relativistic mean field theory. One expects a substantial attraction for the$\eta^{\prime}$ meson in finite nuclei due to the partial restoration of chiral symmetry in the nuclear medium. Such a hadronic scale interaction for the$\eta^{\prime}$ mesonic nuclei may provide modification of the nuclear structure. The relativistic mean field theory is a self-contained model for finite nuclei that provides the saturation property within the model, and is useful for investigating the structure change of the nucleus induced by the$\eta^{\prime}$ meson. Using the local density approximation for the mean fields, we solve the equations of motion for the nucleons and the$\eta^{\prime}$ meson self-consistently, and obtain the nuclear density distribution and the$\eta^{\prime}$ energy spectrum for the$\eta^{\prime}$ mesonic nuclei. We take$^{12}$ C, $^{16}$ O, and$^{40}$ Ca as target nuclei. We find several bound states of the$\eta^{\prime}$ meson for these nuclei thanks to the attraction for$\eta^{\prime}$ in nuclei. We also find a sufficient change of the nuclear structure especially for the$1s$ bound state of$\eta^{\prime}$ . This implies that the production of the$1s$ bound state in nuclear reactions may be suppressed.