# Pairing properties of semilocal coordinate&momentum-space regularized   chiral interactions

**Authors:** P. Yin, X. L. Shang, J. N. Hu, J. Y. Fu, E. Epelbaum, W. Zuo

arXiv: 2302.12463 · 2024-08-14

## TL;DR

This paper analyzes the pairing properties of advanced semilocal chiral interactions in nuclear matter, comparing them with traditional potentials, and assesses the convergence and regulator effects on pairing gaps.

## Contribution

It provides a detailed comparison of pairing gaps from semilocal chiral interactions with those from Argonne v18, including regulator, chiral order dependence, and tensor force effects.

## Key findings

- Pairing gaps converge well at higher chiral orders.
- Regulator and chiral order significantly affect pairing gaps.
- Tensor force influences pairing in specific channels.

## Abstract

We investigate the pairing properties of state-of-the-art semilocal coordinate-space and semilocal momentum-space regularized chiral interactions. Specifically, we calculate the pairing gaps in $^3SD_1$ channel of symmetric nuclear matter and in $^1S_0$ and $^3PF_2$ channels of pure neutron matter within the BCS approximation using these chiral interactions. We address the regulator and chiral order dependence of the pairing gaps and compare the pairing properties of the chiral interactions with those of the Argonne v18 (Av18) potential. The effects of the tensor force on the pairing gaps in the $^3SD_1$ and $^3PF_2$ channels are illustrated for both the chiral interactions and the Av18 potential. We evaluate the truncation errors of chiral expansions of the pairing gaps with a Bayesian approach. We find that the pairing gaps converge very well at the higher-order chiral expansions in the $^3SD_1$ and $^1S_0$ channels.

## Full text

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## Figures

5 figures with captions in the complete paper: https://tomesphere.com/paper/2302.12463/full.md

## References

37 references — full list in the complete paper: https://tomesphere.com/paper/2302.12463/full.md

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Source: https://tomesphere.com/paper/2302.12463