Low-lying level structure of \(\Lambda\) hypernuclei and spin dependence of \(\Lambda N\) interaction with antisymmetrized molecular dynamics

• Published in: arXiv.org
• Main Authors: Isaka, Masahiro, Yamamoto, Yasuo, Motoba, Toshio
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 15.01.2020
• Subjects: Baryons; Excitation spectra; Hypernuclei; Interaction models; Molecular dynamics; Molecular structure; Orbital mechanics; Spin dynamics; Spin-orbit interactions
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.2001.05145

\(\Lambda N\) spin-spin and spin-orbit splittings in low-lying excitation spectra are investigated for \(p\)-shell \(\Lambda\) hypernuclei on the basis of the microscopic structure calculation within the antisymmetrized molecular dynamics, where the \(\Lambda N\) \(G\)-matrix interaction derived from the baryon-baryon interaction model ESC (extended soft core) is used. It is found that the ground-state spin-parity is systematically reproduced in the \(p\)-shell \(\Lambda\) hypernuclei by tuning the \(\Lambda N\) spin-spin and spin-orbit interactions so as to reproduce the experimental data of \(^{4}_\Lambda\)H, \(^{7}_\Lambda\)Li and \(^9_\Lambda\)Be. Furthermore, we also focus on the excitation energies of the excited doublets as well as the energy shifts of them by the addition of a \(\Lambda\) particle.