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Effects of pairing correlation on neutron drop

  • Ying-Hui Ge
  • Ying ZhangEmail author
  • Jin-Niu Hu
Article
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Abstract

In this work, the effects of the pairing correlation on the properties of neutron drops N=6–50 trapped in a harmonic oscillator potential with ħω = 10 MeV are investigated by comparing the results given by the Skyrme Hartree-Fock and Hartree-Fock-Bogoliubov theories with the density-dependent delta interaction (DDDI) pairing force. The results showed that the pairing correlation slightly made the neutron drops more bound, and increased the central neutron density, the spin-orbit and pseudo spin-orbit splittings. Thus, the pairing correlation must be accounted for to improve the Skyrme functional compared with the ab initio calculations. Furthermore, although the single-particle energy gaps with or without pairing were similar, the shell closures varied due to pair scattering. Here, the shell closures in neutron drops using the SkM* parameter set and DDDI pairing force were found at N=8, 16, and 32.

Keywords

neutron drop Hartree-Fock theory Hartree-Fock-Bogoliubov theory pairing correlation 

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Copyright information

© Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Physics, School of ScienceTianjin UniversityTianjinChina
  2. 2.School of PhysicsNankai UniversityTianjinChina

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