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Localization of pairing correlations in nuclei within relativistic mean field models

R.-D. Lasseri, J.-P. Ebran, E. Khan, and N. Sandulescu

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 Hartree-Bogoliubov (RHB) and RMF + projected-BCS (PBCS) models and taking as examples the nuclei 66Ni, 124Sn, and 200Pb. It is shown that the coherence length has the same pattern as in previous nonrelativistic 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 analyzed, for the particular case of 120Sn, the dependence of the coherence length on the intensity of the pairing force. This analysis shows that (a) pairing is reducing the coherent length by about 25–30% compared to the RMF limit and (b) after the onset of pairing correlations, the coherent length depends only weakly on the strength of the pairing force.

Voir en ligne : Phys. Rev. C 98, 014310


 

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Institut de Physique Nucléaire Orsay - 15 rue Georges CLEMENCEAU - 91406 ORSAY (FRANCE)
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