$\Lambda \Lambda$ pairing in multi-strange hypernuclei

Abstract

Multi-strange Ca, Sn and Pb hypernuclei with $\Lambda \Lambda$ pairing interaction are investigated within the Hartree-Fock-Bogoliubov approach. The unknown $\Lambda \Lambda$ pairing strength is calibrated to match with the maximal value for the prediction of the $\Lambda$ pairing gap in uniform matter for densities and isospin asymmetries equivalent to those existing in multi-$\Lambda$ hypernuclei. In this way, we provide an upper bound for the prediction of the $\Lambda$ pairing gap and its effects in hypernuclei. The condensation energy is predicted to be about 3~MeV as a maximum value, yielding small corrections on density distributions and shell structure. In addition, conditions on both Fermi energies and orbital angular momenta are expected to quench the nucleon-$\Lambda$ pairing for most of hypernuclei.

arXiv comment10 pages, 7 figures

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• Strength of pairing interaction for hyperons in multistrangeness hypernuclei
• Clusterization and deformation of multi-$\Lambda$ hypernuclei within relativistic mean-field model
• Effects of $\bm\la$ hyperons on the deformations of even-even nuclei
• Ground State Properties of Charmed Hypernuclei with Mean Field Approach
• Effects of Finite Temperature and Pairing Correlations in Multi-$\Lambda$ Hypernuclei