https://doi.org/10.1140/epja/s10050-024-01278-7
Regular Article - Theoretical Physics
Structure of single 
-hypernuclei with Gogny-type -nucleon forces
1
Dipartimento di Fisica e Astronomia “Ettore Majorana”, Università di Catania, Via Santa Sofia 64, 95123, Catania, Italy
2
Departamento de Física Teórica and CIAFF, Universidad Autónoma de Madrid, 28049, Madrid, Spain
3
Center for Computational Simulation, Universidad Politécnica de Madrid, Campus de Monteganceldo, Bohadilla del Monte, 28660, Madrid, Spain
4
Istituto Nazionale di Fisica Nucleare, Sezione di Catania, Via Santa Sofia 64, 95123, Catania, Italy
Received:
15
December
2023
Accepted:
20
February
2024
Published online:
18
March
2024
We study the structure of single -hypernuclei using the Hartree–Fock–Bogoliubov method. Finite range Gogny-type forces are used to describe the nucleon–nucleon and -nucleon interactions. Three different -nucleon Gogny forces are built. The unknown parameters of these forces are obtained by fitting the experimental binding energies of the 1s single-particle state in various hypernuclei using the “Simulated Annealing Method”. These forces are then used to calculate the binding energies of the other (1p, 1d, 1f, 1g) single-particle states in the different hypernuclei. The predicted values are found to be in good agreement with the experimental data for the three forces constructed. In addition, we calculate also the root-mean-square radii of ground state orbital, as well as several global properties of the hypernuclei considered such as their ground-state Hartree–Fock–Bogoliubov energy, their pairing energy and their quadrupole moment.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
