Generator coordinate method for hypernuclear spectroscopy with a covariant density functional

Abstract

We apply the generator coordinate method (GCM) to single-$\Lambda$ hypernuclei in order to discuss the spectra of hypernuclear low-lying states. To this end, we use the same relativistic point-coupling energy functional both for the mean-field and the beyond-mean-field calculations. This relativistic GCM approach provides a unified description of low-lying states in ordinary nuclei and in hypernuclei, and is thus suitable for studying the $\Lambda$ impurity effect. We carry out an illustrative calculation for the low-lying spectrum of ${}_{\Lambda }^{21}$Ne, in which the interplay between the hypernuclear collective excitations and the single-particle excitations of the unpaired $\Lambda$ hyperon is taken into account in a full microscopic manner.

5 pages, 3 eps figures

References in corpus (7)

• Beyond Mean-Field Calculations for Odd-A Nuclei
• Observation of Spin-Dependent Charge Symmetry Breaking in $\Lambda N$ Interaction: Gamma-Ray Spectroscopy of ${}_{\Lambda }^4$He
• Deformation of Lambda hypernuclei
• A microscopic benchmark-study of triaxiality in low-lying states of 76Kr
• Deformation of hypernuclei studied with antisymmetirzed molecular dynamics
• 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

Cited by in corpus (9)

• Islands of shape coexistence from single-particle spectra in covariant density functional theory
• Beyond-mean-field study of the hyperon impurity effect in hypernuclei with shape coexistence
• Disappearance of nuclear deformation in hypernuclei: a perspective from a beyond-mean-field study
• Low-energy hypernuclear spectra with microscopic particle-rotor model with relativistic point coupling hyperon-nucleon interaction
• Beyond mean-field approach for pear-shaped hypernuclei
• The interplay of single-particle and collective motions in the low-lying states of ${}_{\Lambda }^{21}$Ne with quadrupole-octupole correlations
• Multireference covariant density-functional theory for the low-lying states of odd-mass nuclei
• Generator coordinate method for nuclear octupole excitations: status and perspectives
• Relativistic Mean-Field and Beyond Approaches for Deformed Hypernuclei