Abstract
In a recent paper we studied the behavior of the pairing gaps $\Delta_F$ as a function of the Fermi momentum $k_F$ for neutron and nuclear matter in all relevant angular momentum channels where superfluidity is believed to naturally emerge. The calculations employed realistic chiral nucleon-nucleon potentials with the inclusion of three-body forces and self-energy effects. In this contribution, after a detailed description of the numerical method we employed in the solution of the BCS equations, we will show a preliminary analysis of the Cooper pair wavefunctions.
Highlights
1 Introduction The goal of this article is to solve the BCS equations starting from modern nucleon-nucleon potentials and to perform preliminary calculations of the Cooper pair wavefunctions as a first step towards an analysis of the occurrence of BCS-BEC crossover in nuclear systems [4]
We explain the method suggested in Ref. [5] to solve the BCS equations by partial-wave decomposition that has been proven to be stable even for small values of the gap and to require only the initial assumption of a scale factor δ
The BCS equation reads in terms of the NN potential V(k, k ) = k |V| k as follows
Summary
The goal of this article is to solve the BCS equations starting from modern nucleon-nucleon potentials (at N3LO in the chiral expansion [2]) and to perform preliminary calculations of the Cooper pair wavefunctions as a first step towards an analysis of the occurrence of BCS-BEC crossover in nuclear systems [4]
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