Localization of pairing correlations in nuclei within relativistic mean field models
arXiv:1805.01188 · doi:10.1103/PhysRevC.98.014310
Abstract
We analyze the localization properties of two-body correlations induced by pairing in the framework of relativistic mean field (RMF) models. The spatial properties of two-body correlations are studied for the pairing tensor in coordinate space and for the Cooper pair wave function. The calculations are performed both with Relativistic-Hatree-Bogoliubov (RHB) and RMF+Projected-BCS (PBCS) models and taking as examples the nuclei Ni, Sn and Pb. It is shown that the coherence length have the same pattern as in previous non-relativistic HFB calculations, i.e., it is maximum in the interior of the nucleus and drops to a minimum in the surface region. In the framework of RMF+PBCS we have also analysed, for the particular case of Sn, the dependence of the coherence length on the intensity of the pairing force. This analysis indicates that pairing is reducing the coherence length by about 25-30 compared to the RMF limit.
arXiv comment8 pages, 7 figures
References in corpus (11)
- DIRHB -- a relativistic self-consistent mean-field framework for atomic nuclei
- Di-neutron correlation and soft dipole excitation in medium mass neutron-rich nuclei near drip-line
- Coexistence of BCS and BEC-like pair structures in halo nuclei
- Generic strong coupling behavior of Cooper pairs in the surface of superfluid nuclei
- BCS-to-BEC crossover from the exact BCS solution
- Microscopic calculation and LDA of the spatial dependence of the pairing field with bare and induced interactions
- Accuracy of BCS-based approximations for pairing in small Fermi systems
- Isovector neutron-proton pairing with particle number projected BCS
- Two-particle spatial correlations in superfluid nuclei
- Surface behaviour of the pairing gap in semi-infinite nuclear matter
- Cooper pair sizes in superfluid nuclei in a simplified model