Ground State Properties of Charmed Hypernuclei with Mean Field Approach

TL;DR

This paper investigates the ground state properties of closed shell charmed hypernuclei using a mean field approach, revealing their stability range and potential for experimental detection.

Contribution

It introduces a Hartree-Fock method with three force sets derived from microscopic calculations to analyze charmed hypernuclei, a novel application in this context.

Findings

Charmed hypernuclei are most stable for mass numbers 16 to 41.

$^{17}_{\Lambda_c}$F is a promising candidate for experimental measurement.

Coulomb repulsion significantly influences hypernuclei stability.

Abstract

Closed shell charmed hypernuclei $^5_{\Lambda_c}$Li, $^{17}_{\Lambda_c}$F, $^{41}_{\Lambda_c}$Sc, $^{57}_{\Lambda_c}$Cu, $^{133}_{\Lambda_c}$Sb and $^{209}_{\Lambda_c}$Bi are calculated within Hartree-Fock approach by using three different force sets derived from microscopic Brueckner-Hartree-Fock calculations of $\Lambda$ hypernuclei. Ground state properties (binding energies, $\Lambda_c$ separation energies, $\Lambda_c$ single particle energies and $\Lambda_c$ densities) of charmed nuclei are examined. Due to the Coulomb repulsion between protons and the $\Lambda_c$ baryon, charmed hypernuclei are most bound for $16\leq$A$\leq 41$, where $^{17}_{\Lambda_c}$F can be considered as an excellent candidate to measure charmed hypernuclei. The competition between the attractive nucleon-$\Lambda_c$ interaction and the Coulomb repulsion is discussed, and we compare $\Lambda$ and $\Lambda_c$ hypernuclei properties.