# Extending pairing energy density functional using pairing rotational moments of inertia

## TL;DR

This paper enhances pairing energy density functionals by incorporating derivative terms, improving the modeling of pairing rotational moments of inertia in isotopes, with adjustments based on experimental data.

## Contribution

It introduces pair-density derivative terms into the pairing EDF and demonstrates their systematic improvement of rotational moments of inertia calculations.

## Key findings

- Pair-density derivative terms improve the accuracy of rotational moments of inertia.
- Adjusted coupling constants reproduce experimental data.
- Conventional pairing gaps overestimate odd-even mass staggering.

## Abstract

The pairing energy density functionals (EDFs) that include the spatial derivative and kinetic terms of the pair densities are discussed. The coupling constants of the pairing EDF are adjusted to reproduce the experimental pairing rotational moment of inertia, and the pair-density derivative terms are shown to systematically improve the values of the pairing rotational moments of inertia in Sn and Pb isotopes. It is pointed out that the conventional average pairing gaps overestimate the experimental odd-even mass staggering in the presence of the pair-density derivative terms.