Unified description of nuclear giant monopole resonances and nuclear matter incompressibility

Abstract: The study of nuclear isoscalar giant monopole resonance (ISGMR) is an important way to constrain nuclear incompressibility coefficient $K_ infty$, which provides important information for the understanding of nuclear astrophysics phenomena. At present, there is a serious discrepancy in the unified descriptions of the ISGMR  in Pb and Sn isotopes, which prevents us from the accurate determination of $K_ infty$. In this paper, we reviewed the recent progress in understanding this problem within the framework of quasiparitcle random phase approximation as well as quasiparticle-vibration coupling models.