Generator coordinate method for hypernuclear spectroscopy with a covariant density functional

TL;DR

This paper introduces a relativistic generator coordinate method (GCM) approach to study hypernuclear spectra, unifying descriptions of ordinary nuclei and hypernuclei, and explores the impact of a $ ext{Lambda}$ hyperon on nuclear excitations.

Contribution

It develops a covariant GCM framework using a relativistic energy functional for hypernuclear spectroscopy, enabling a microscopic analysis of hypernuclear states and impurity effects.

Findings

Unified description of low-lying states in nuclei and hypernuclei.

Illustrative calculation for $^{21}_ ext{Lambda}$Ne spectrum.

Full microscopic treatment of hypernuclear excitations.

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 $^{21}_\Lambda$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.