Calculations of the isoscalar giant monopole resonance within the self-consistent RPA and its extensions

TL;DR

This paper calculates the isoscalar giant monopole resonance in various nuclei using self-consistent RPA and its extensions, comparing results with experimental data to discuss nuclear matter incompressibility.

Contribution

It introduces calculations of the giant monopole resonance using extended self-consistent RPA methods including pairing and quasiparticle-phonon coupling.

Findings

Results agree with experimental data

Provides insights into nuclear matter incompressibility

Shows the importance of extensions beyond basic RPA

Abstract

The strength distributions of the isoscalar giant monopole resonance have been calculated in $^{16}$O, $^{40}$Ca, $^{90}$Zr, $^{112-124}$Sn, $^{144}$Sm, and $^{208}$Pb nuclei within the self-consistent random phase approximation and its extensions which include pairing correlations and quasiparticle-phonon coupling. The results are compared with the available experimental data. The problem of the nuclear matter incompressibility is discussed.