Abstract

The structure and density dependence of the pairing gap in infinite matter is relevant for astrophysical phenomena and provides a starting point for the discussion of pairing properties in nuclear structure. Short-range correlations can significantly deplete the available single-particle strength around the Fermi surface and thus provide a reduction mechanism of the pairing gap. Here, we study this effect in the singlet and triplet channels of both neutron matter and symmetric nuclear matter. Our calculations use phase-shift equivalent interactions and chiral two-body and three-body interactions as a starting point. We find an unambiguous reduction of the gap in all channels with very small dependence on the NN force in the singlet neutron matter and the triplet nuclear matter channel. In the latter channel, SRC alone provide a 50% reduction of the pairing gap.

Highlights

  • Superfluidity plays an important role in nuclear physics

  • It is possible that these correlations cannot be accounted for realistically within a BCS picture and that more consistent and realistic approaches are needed to describe superfluidity in nuclear physics

  • We have presented results obtained in a Gorkov-inspired treatment that consistently takes into account the short-range correlations (SRC) arising from the strong NN force

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Summary

Introduction

Superfluidity plays an important role in nuclear physics. Nuclear structure is greatly influenced by pairing [1]. Final, one would like to know the size and density dependence of isoscalar neutron–proton pairing correlations In this contribution, we will focus on these aspects and address them using infinite nuclear matter calculations based on a many-body approach that consistently treats SRC, 3NFs and tensor correlations. The approach provides a fully microscopic account of single-particle strength removal based on realistic nucleon–nucleon (NN) interactions and, in its extended pairing formulation, is well suited to account for SRC in pairing properties. Chiral interactions provide a way to explore uncertainties in many-body calculations, either by using cut-off variation [27] or more sophisticated techniques [28] These approaches have recently been used to estimate systematic errors in pairing gaps within the BCS approach, including the effect of 3NFs [29,30].

Formalism
Pairing in Neutron Matter
Singlet Pairing
Triplet Pairing
Pairing in Symmetric Nuclear Matter
Findings
Conclusions and Future Prospects

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