The Giant Monopole Resonance in Pb isotopes

TL;DR

This paper analyzes how pairing and magicity effects influence the giant monopole resonance energies in lead isotopes, crucial for understanding nuclear incompressibility, and highlights the need for precise measurements in open-shell isotopes.

Contribution

It provides a microscopic prediction of pairing effects and a phenomenological evaluation of the magicity effect on GMR energies in Pb isotopes.

Findings

Pairing effects cause shifts in GMR energies.

Mutually enhanced magicity affects GMR energy differences.

Accurate GMR measurements in open-shell Pb isotopes are needed.

Abstract

The extraction of the nuclear incompressibility from the isoscalar giant monopole resonance (GMR) measurements is analysed. Both pairing and mutually enhanced magicity (MEM) effects play a role in the shift of the GMR energy between the doubly closed shell $^{208}$Pb nucleus and other Pb isotopes. Pairing effects are microscopically predicted whereas the MEM effect is phenomenologically evaluated. Accurate measurements of the GMR in open-shell Pb isotopes are called for.