Asymptotics of neutron Cooper pair in weakly bound nuclei

Abstract

Asymptotic form of neutron Cooper pair penetrating to the exterior of nuclear surface is investigated with the Bogoliubov theory for the superfluid Fermions. Based on a two-particle Schrödinger equation governing the Cooper pair wave function and systematic studies for both weakly bound and stable nuclei, the Cooper pair is shown to be spatially correlated even in the asymptotic large distance limit, and the penetration length of the pair condensate is revealed to be universally governed by the two-neutron separation energy $S_{2n}$ and the di-neutron mass $2m$.

References in corpus (7)

• Theory of ultracold Fermi gases
• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Coexistence of BCS and BEC-like pair structures in halo nuclei
• Generic strong coupling behavior of Cooper pairs in the surface of superfluid nuclei
• Dineutron structure in ${}^8$He
• Systematic study of ${}^{9,10,11}$Li with the tensor and pairing correlations
• Giant neutron halos in the non-relativistic mean field approach

Cited by in corpus (4)

• Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum
• Spin-polarized neutron matter: Critical unpairing and BCS-BEC precursor
• Density dependence of the pairing interaction and pairing correlation in unstable nuclei
• New concept for pairing anti-halo effect as a localized wave packet of quasi-particle