Ground State Properties of Charmed Hypernuclei with Mean Field Approach

Abstract

Closed shell charmed hypernuclei ${}_{{\Lambda }_c}^5$Li, ${}_{{\Lambda }_c}^{17}$F, ${}_{{\Lambda }_c}^{41}$Sc, ${}_{{\Lambda }_c}^{57}$Cu, ${}_{{\Lambda }_c}^{133}$Sb and ${}_{{\Lambda }_c}^{209}$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 $16\le$A$\le 41$, where ${}_{{\Lambda }_c}^{17}$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.

arXiv comment9 pages, 6 figures

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