$ΛΛ$ pairing in multi-strange hypernuclei

Abstract

Multi-strange Ca, Sn and Pb hypernuclei with $ΛΛ$ pairing interaction are investigated within the Hartree-Fock-Bogoliubov approach. The unknown $ΛΛ$ pairing strength is calibrated to match with the maximal value for the prediction of the $Λ$ pairing gap in uniform matter for densities and isospin asymmetries equivalent to those existing in multi-$Λ$ hypernuclei. In this way, we provide an upper bound for the prediction of the $Λ$ 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-$Λ$ pairing for most of hypernuclei.

10 pages, 7 figures