Constraining the nuclear pairing gap with pairing vibrations

TL;DR

This paper investigates how different density-dependent pairing interactions affect nuclear pairing gaps and vibrations, using Tin isotopes to constrain models and explore the validity of local density approximations.

Contribution

It provides new constraints on pairing interactions based on experimental separation energies and analyzes the density dependence of pairing vibrations in neutron-rich nuclei.

Findings

Pairing interactions are constrained using two-neutron separation energies.

Pairing vibrations are sensitive to the density dependence of the pairing interaction.

The validity range of the local density approximation in pairing is studied.

Abstract

Pairing interactions with various density dependencies (surface/volume mixing) are constrained with the two-neutron separation energy in the Tin isotopic chain. The response associated with pairing vibrations in very neutron-rich nuclei is sensitive to the density dependence of the pairing interaction. Using the same pairing interaction in nuclear matter and in Tin nuclei, the range of densities where the LDA is valid in the pairing channel is also studied.