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

Abstract

$\Lambda N$ 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 ${}_{\Lambda }^4$H, ${}_{\Lambda }^7$Li and ${}_{\Lambda }^9$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.

arXiv comment16 pages, 5 figures

References in corpus (26)

• Soft-core hyperon-nucleon potentials
• Strangeness in nuclear physics
• Structure of ground and excited states of ${}^{12}$C
• Baryon-baryon interactions in the SU6 quark model and their applications to light nuclear systems
• Extended-soft-core Baryon-Baryon Model II. Hyperon-Nucleon Interaction
• Variation after Angular Momentum Projection for the Study of Excited States Based on Antisymmetrized Molecular Dynamics
• Cluster structures within Fermionic Molecular Dynamics
• Ab initio approach to s-shell hypernuclei 3H_Lambda, 4H_Lambda, 4He_Lambda and 5He_Lambda with a Lambda N-Sigma N interaction
• Quadrupole deformation $(\beta ,\gamma )$ of light $\Lambda$ hypernuclei in constrained relativistic mean field model: shape evolution and shape polarization effect of $\Lambda$ hyperon
• Observation of Spin-Dependent Charge Symmetry Breaking in $\Lambda N$ Interaction: Gamma-Ray Spectroscopy of ${}_{\Lambda }^4$He
• Deformation of Lambda hypernuclei
• Deformation of hypernuclei studied with antisymmetirzed molecular dynamics
• Five-body cluster structure of double-$\Lambda$ hypernucleus ${}_{\Lambda \Lambda }^{11}$Be
• Gamma-Ray Spectroscopy in Lambda Hypernuclei
• High Resolution Spectroscopic Study of ${}_{\Lambda }^{10}$Be
• The experiments with the High Resolution Kaon Spectrometer at JLab Hall C and the new spectroscopy of ${}_{\Lambda }^{12}\text{B}$ hypernuclei
• Light Neutron-Rich Hypernuclei from the Importance-Truncated No-Core Shell Model
• Induced Hyperon-Nucleon-Nucleon Interactions and the Hyperon Puzzle
• Effects of $\alpha$-cluster breaking on 3$\alpha$ cluster structures in ${}^{12}$C
• Hypernuclear structure from gamma-ray spectroscopy
• Microscopic particle-rotor model for low-lying spectrum of Lambda hypernuclei
• Triaxially deformed relativistic point-coupling model for $\Lambda$ hypernuclei: a quantitative analysis of hyperon impurity effect on nuclear collective properties
• Superdeformed $\Lambda$ hypernuclei with antisymmetrized molecular dynamics
• Effects of hyperonic many-body force on $B_{\Lambda }$ values of hypernuclei
• Precise determination of ${}_{\Lambda }^{12}$C level structure by $\gamma$-ray spectroscopy
• Excitation energy shift and size difference of low-energy levels in $p$-shell $\Lambda$ hypernuclei

Cited by in corpus (2)

• Spectroscopy of $A=9$ hyperlithium by the $(e,e^{\prime }{K}^{+})$ reaction
• Examination of the $\alpha$-cluster breaking in the four $0^{+}$ bands of ${}^{12}$C with the variation of multiple bases of the antisymmetrized molecular dynamics