Breathing-mode measurements in Sn isotopes and isospin dependence of nuclear incompressibility

TL;DR

This paper reanalyzes breathing-mode energies in Sn isotopes to refine the isospin dependence of nuclear incompressibility, showing that higher-order effects align results with lower theoretical estimates.

Contribution

It improves previous estimates of the symmetry-incompressibility coefficient by including higher-order terms in the analysis.

Findings

First-order estimate of K_tau shifts from -550 to -661 MeV after removing approximations.

Higher-order analysis aligns experimental data with lower theoretical values.

Results suggest the importance of considering higher-order terms in nuclear incompressibility studies.

Abstract

T. Li {\it et al.}[Phys. Rev. C {\bf 81}, 034309 (2010)] have analyzed their measured breathing-mode energies of some tin isotopes in terms of a first-order leptodermous expansion, and find for the symmetry-incompressibility coefficient $K_{\tau}$ the value of -550 $\pm$ 100 MeV. Removing an approximation that they made, we find that the first-order estimate of $K_{\tau}$ shifts to -661 $\pm$ 144 MeV. However, taking into account higher-order terms in the leptodermous expansion shows that the data are compatible with the significantly lower magnitudes indicated by both another experiment and some theoretical estimates.