Two-particle spatial correlations in superfluid nuclei

N. Pillet, N. Sandulescu, P. Schuck, and J.-F. Berger
Phys. Rev. C 81, 034307 – Published 19 March 2010

Abstract

We discuss the effect of pairing on two-neutron space correlations in deformed nuclei. The spatial correlations are described by the pairing tensor in coordinate space calculated in the HFB approach. Calculations are done using the D1S Gogny force. We show that the pairing tensor has a rather small extension in the relative coordinate, a feature observed earlier in spherical nuclei. It is pointed out that in deformed nuclei the coherence length corresponding to the pairing tensor has a pattern similar to what we have found previously in spherical nuclei; that is, it is maximal in the interior of the nucleus and then it decreases rather rapidly in the surface region, where it reaches a minimal value of about 2 fm. This minimal value of the coherence length in the surface is essentially determined by the finite size properties of single-particle states in the vicinity of the chemical potential and has little to do with enhanced pairing correlations in the nuclear surface. It is shown that in nuclei the coherence length is not a good indicator of the intensity of pairing correlations. This feature is contrasted with the situation in infinite matter.

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  • Received 1 October 2009

DOI:https://doi.org/10.1103/PhysRevC.81.034307

©2010 American Physical Society

Authors & Affiliations

N. Pillet1,*, N. Sandulescu2, P. Schuck3,4,5, and J.-F. Berger1

  • 1CEA/DAM/DIF, F-91297 Arpajon, France
  • 2Institute of Physics and Nuclear Engineering, R-76900 Bucharest, Romania
  • 3Institut de Physique Nucléaire, CNRS, UMR8608, F-91406 Orsay, France
  • 4Université Paris-Sud, Orsay, F-91505, France
  • 5Laboratoire de Physique et Modélisation des Milieux Condensés, CNRS and Université Joseph Fourier, Maison des Magistères, Boîte Postale 166, F-38042 Grenoble Cedex, France

  • *nathalie.pillet@cea.fr

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Vol. 81, Iss. 3 — March 2010

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