Pairing correlations and effective mass

TL;DR

This paper investigates how the effective mass influences pairing correlations in superfluid nuclei, revealing that the type of pairing interaction affects the dependence of the pairing gap on the effective mass.

Contribution

It provides a comparative analysis of surface and volume pairing interactions across different effective mass parameter sets in nuclear models.

Findings

Surface pairing yields nearly constant pairing gaps regardless of effective mass.

Volume pairing shows a strong dependence of the pairing gap on effective mass.

Local pair potentials vary with the effective mass and interaction type.

Abstract

We study the effect of effective mass on pairing correlations in the ground states of superfluid nuclei $^{124}$Sn and $^{136}$Sn. Various parameter sets of Skyrme interactions and relativistic Lagrangians are adopted to study pairing correlations across a wide range of effective mass. It is shown that surface-type pairing interaction gives an almost constant pairing gap as a function of the effective mass, while volume-type pairing interaction shows rather strong dependence of the pairing gap upon the effective mass. The local pair potentials of various effective interactions are also examined in relation to the effective mass.