Microscopic particle-rotor model for low-lying spectrum of Lambda hypernuclei

Abstract

We propose a novel method for low-lying states of hypernuclei based on the particle-rotor model, in which hypernuclear states are constructed by coupling the hyperon to low-lying states of the core nucleus. In contrast to the conventional particle-rotor model, we employ a microscopic approach for the core states, that is, the generator coordinate method (GCM) with the particle number and angular momentum projections. We apply this microscopic particle-rotor model to ${}_{\Lambda }^9$Be employing a point-coupling version of the relativistic mean-field Lagrangian. A reasonable agreement with the experimental data for the low-spin spectrum is achieved using the $\Lambda N$ coupling strengths determined to reproduce the binding energy of the $\Lambda$ particle.

6 pages, 2 figures. uses elsarticle.cls and numcompress.sty

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Cited by in corpus (15)

• Beyond mean-field study of elastic and inelastic electron scattering off nuclei
• Triaxially deformed relativistic point-coupling model for $\Lambda$ hypernuclei: a quantitative analysis of hyperon impurity effect on nuclear collective properties
• Generator coordinate method for hypernuclear spectroscopy with a covariant density functional
• Beyond-mean-field study of the hyperon impurity effect in hypernuclei with shape coexistence
• Clusterization and deformation of multi-$\Lambda$ hypernuclei within relativistic mean-field model
• Disappearance of nuclear deformation in hypernuclei: a perspective from a beyond-mean-field study
• Low-lying level structure of $\Lambda$ hypernuclei and spin dependence of $\Lambda N$ interaction with antisymmetrized molecular dynamics
• Beyond mean-field approach for pear-shaped hypernuclei
• Low-energy hypernuclear spectra with microscopic particle-rotor model with relativistic point coupling hyperon-nucleon interaction
• Excitation energy shift and size difference of low-energy levels in $p$-shell $\Lambda$ hypernuclei
• The interplay of single-particle and collective motions in the low-lying states of ${}_{\Lambda }^{21}$Ne with quadrupole-octupole correlations
• Configuration mixing in low-lying spectra of carbon hypernuclei
• Transition from vibrational to rotational characters in low-lying states of hypernuclei
• Structures of $p$-shell double-$\Lambda$ hypernuclei studied with microscopic cluster models
• Relativistic Mean-Field and Beyond Approaches for Deformed Hypernuclei