Nuclear incompressibility parameters evaluated from isoscalar giant monopole resonance of $N=Z$, $A=100,132$ nuclide and Sn isotopes

TL;DR

This study uses advanced nuclear theory to analyze giant monopole resonances in various isotopes, extracting nuclear matter incompressibility parameters and comparing them with experimental data to refine nuclear models.

Contribution

It systematically evaluates nuclear incompressibility parameters from ISGMR data across multiple isotopes using Cb-TDHFB with various Skyrme interactions, providing new constraints on nuclear matter properties.

Findings

The relation between GMR peak positions and $K_ abla$ among Skyrme sets.

Determination of finite nucleus incompressibility expansion parameters.

Filtered isospin-dependent term $K_\tau$ as -305±10 MeV.

Abstract

The isoscaler giant monopole resonances (ISGMR) are computed using the canonical-basis time-dependent Hartree-Fock-Bogoliubov theory (Cb-TDHFB) with five kinds of Skyrme parameter sets (SGII, SkM$^*$, SLy4, SkT3 and SkI3). To extract the nuclear matter property from finite system, ISGMRs of $N$=$Z$ ($Z$=20 - 50), isobar even-even nuclide for $A$=100, 132 and Sn isotopes are analysed systematically. The magnitude relation of nuclear incompressibility-parameter ($K_\infty$) among Skyrme parameter sets, can be corresponded to the peak positions of GMR in spherical isotopes over $A$=80. The parameters ($K_{\rm surf}, K_\tau$ and $K_{\rm Coul}$) which appear in expansion of the finite nucleus incompressibility $K_A$, are determined for each Skyrme parameter. From the comparison experimental data whole mass region and the present results, they indicate that the isospin dependent term $K_\tau$ is filtered as -305$\pm$10 MeV. The incompressibility parameters of {\it infinite} system corresponding to our results is $K_\tau^\infty$=-340$\pm$35, $K_\infty$=225$\pm$11, and $K_{\rm sym}$=-138$\pm$18 MeV.