A study of Lambda hypernuclei within the Skyrme-Hartree-Fock Model

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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18 pages, 2 figures

Scientific paper

We investigate the ground state properties of the single Lambda hypernuclei within a Skyrme Hatree-Fock (SHF) model. The parameters of the Skyrme type effective lambda-nucleon (Lambda N) interaction including both two- and three-body terms are obtained by fitting to the experimental Lambda single particle energies of hypernuclei with masses spanning a wide range of the periodic table. The SHF calculations performed with the best fit parameter set are found to describe well the experimental single particle spectra of hypernuclei over a full mass range. The radii of the Lambda orbits in the hypernuclear ground states and the Lambda effective mass in nuclear matter, are found to be sensitive to different parameter sets. The mass dependence of the total binding energy per baryon of the hypernuclei has been analyzed and its consequence on their stability is discussed.

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