Effect of pairing correlations on incompressibility and symmetry energy in nuclear matter and finite nuclei

TL;DR

This paper investigates how pairing correlations influence nuclear matter properties like incompressibility and symmetry energy, showing significant effects at low densities and on finite nuclei resonances, especially at the nuclear surface.

Contribution

It provides a detailed analysis of pairing effects on nuclear incompressibility and symmetry energy using various pairing interactions and microscopic approaches.

Findings

Pairing has minimal impact on nuclear matter incompressibility at saturation density.

Significant pairing effects occur at lower densities, affecting nuclear surface properties.

Pairing alters the GMR centroid energy by up to 10% in Pb and Sn isotopes.

Abstract

The role of superfluidity in the incompressibility and in the symmetry energy is studied in nuclear matter and finite nuclei. Several pairing interactions are used: surface, mixed and isovector dependent. Pairing has a small effect on the nuclear matter incompressibility at saturation density, but the effects are significant at lower densities. The pairing effect on the centroid energy of the isoscalar Giant Monopole Resonance (GMR) is also evaluated for Pb and Sn isotopes by using a microscopic constrained-HFB approach, and found to change at most by 10% the nucleus incompressibility $K_A$. It is shown by using the Local Density Approximation (LDA) that most of the pairing effect on the GMR centroid come from the low-density nuclear surface.