Spatial structure of neutron Cooper pair in low density uniform matter
Masayuki Matsuo
DOI 10.1103/PhysRevC.73.044309 · Physical Review C
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Abstract
The spatial structure of the neutron Cooper pair in superfluid low-density uniform matter is analyzed 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 dineutron correlation over a wide range of neutron densities ρ/ρ0≈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. It is also shown that the zero-range δ interaction can describe the spatial structure of the neutron Cooper pair if the density-dependent interaction strength and the cutoff energy are appropriately chosen. Parametrizations of the density-dependent δ interaction satisfying this condition are discussed.
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