Spatial structure of neutron Cooper pair in low density uniform matter

Details Spatial structure of neutron Cooper pair in low density uniform matter Spatial structure of neutron Cooper pair in low density uniform matter

2005-12-07

arxiv.org/abs/nucl-th/0512021v2

Phys.Rev. C73 (2006) 044309

Physics

Nuclear Physics

Nuclear Theory

20 pages, 13 figures

Scientific paper

10.1103/PhysRevC.73.044309

We analyze spatial structure of the neutron Cooper pair in superfluid low-density uniform matter by means of BCS calculations employing a bare force and the effective Gogny interaction. It is shown that the Cooper pair exhibits a strong spatial di-neutron correlation in a wide range of neutron density $\rho/\rho_0\approx 10^{-4}-0.5$. This feature is related to the crossover behavior between the pairing of the weak coupling BCS type and the Bose-Einstein condensation of bound neutron pairs. We also show that the zero-range delta interaction can describe the spatial structure of the neutron Cooper pair if the density dependent interaction strength and the cut-off energy are appropriately chosen. Parameterizations of the density-dependent delta interaction satisfying this condition are discussed.

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