Excitation energy shift and size difference of low-energy levels in $p$-shell $\Lambda$ hypernuclei

Abstract

We investigated structures of low-lying $0s$-orbit $\Lambda$ states in $p$-shell $\Lambda$ hypernuclei (${}_{\Lambda }^{A}Z$) by applying microscopic cluster models for nuclear structure and a single-channel folding potential model for a $\Lambda$ particle. For $A>10$ systems, the size reduction of core nuclei is small, and the core polarization effect is regarded as a higher-order perturbation in the $\Lambda$ binding. The present calculation qualitatively describes the systematic trend of experimental data for excitation energy change from ${}^{A-1}Z$ to ${}_{\Lambda }^{A}Z$, in $A>10$ systems. The energy change shows a clear correlation with the nuclear size difference between the ground and excited states. In ${}_{\Lambda }^7\text{Li}$ and ${}_{\Lambda }^9\text{Be}$, the significant shrinkage of cluster structures occurs consistently with the prediction of other calculations.

18 pages, 5 figures

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Cited by in corpus (7)

• Clusterization and deformation of multi-$\Lambda$ hypernuclei within relativistic mean-field model
• Low-lying level structure of $\Lambda$ hypernuclei and spin dependence of $\Lambda N$ interaction with antisymmetrized molecular dynamics
• Femtoscopic study of the $\Lambda \alpha$ interaction
• Structures of $p$-shell double-$\Lambda$ hypernuclei studied with microscopic cluster models
• $p$-shell hypernuclear structures using the Gogny-interaction shell model
• Resonance structure of ${}^8$Be with the two-cluster resonating group method
• Structure of the ground and excited states in ${}_{\Lambda }^9$Be nucleus