Ground state properties of charmed hypernuclei within a mean field approach

ΛΛ pairing effects in multi-Λ hyperisotopes within a Skyrme-Hartree-Fock model

“…A similar shell structure can be seen in Ref. [7] because of the same mean-field potential of hyperons. The V Λ obtained in the RHB calculation [9] is similar to the shape of a harmonic oscillator potential and leads to a bit different shell closure structure.…”

“…There are several theoretical works about ΛΛ pairing effects for spherical multi-Λ hyperisotopes. In the Hartree-Fock-Bogoliubov (HFB) model [7], the strength of ΛΛ pairing was calibrated to match the maximal value for the prediction of the ΛΛ pairing gap in uniform matter [8], so that an upper bound for the prediction of the Λ pairing gap and its effects in hypernuclei were provided. Soon after, with a relativistic-Hartree-Bogoliubov (RHB) approach based on the quark model, the strength of the pairing interaction was set as 4/9 of that for nucleons [9].…”

“…[10] is used to investigate ΛΛ pairing effects in multi-Λ hypernuclei. For the mean-field part, we use the same parameters as HFB [7], i.e., the Skyrme force SLy5 for the NN part [11], the Nijmegen interaction NSC97f for the NΛ part, and the empirical prescription EmpC for the ΛΛ interaction part [6].…”

“…with the pairing strength V 0 = 323 MeV fm −3 for nucleons as in Ref. [7]. For the Λ hyperon, as in Ref.…”

“…[9], it is set as 4/9 of that for nucleons, i.e., V 0 = 144 MeV fm −3 , which is smaller overall than that presented in Ref. [7]. A smooth energy cutoff is included in the BCS approximation [12].…”