Unified BCS-like model of pairing and alpha-correlations

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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18 pages

Scientific paper

10.1134/S1063778811090110

We construct a BCS-like model that combines nucleonic pairing correlations and possible quartic correlations of alpha-type in a single variational wave function and derive corresponding gap equations. In the approximation of large logarithms typical for the BCS approach, we show that the system reveals two possible types of a condensate which cannot coexist. If the alpha-type condensate prevails at N=Z, the growth of the neutron excess will naturally lead to the first order phase transition to the nucleon condensates.

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