Differential analysis of incompressibility in neutron-rich nuclei

Bao-An Li and Wen-Jie Xie
Phys. Rev. C 104, 034610 – Published 9 September 2021

Abstract

Both the incompressibility KA of a finite nucleus of mass A and that (K) of infinite nuclear matter are fundamentally important for many critical issues in nuclear physics and astrophysics. While some consensus has been reached about K, accurate theoretical predictions and experimental extractions of Kτ characterizing the isospin dependence of KA have been very difficult. We propose a differential approach to extract Kτ and K independently from the KA data of any two nuclei in a given isotope chain. Applying this method to the KA data from isoscalar giant monopole resonances (ISGMR) in even-even Pb, Sn, Cd, and Ca isotopes taken by Garg et al. at the Research Center for Nuclear Physics (RCNP), Osaka University, Japan, we find that the Cd106Cd116 and Sn112Sn124 pairs having the largest differences in isospin asymmetries in their respective isotope chains measured so far provide consistently the most accurate up-to-date Kτ value of Kτ=616±59 MeV and Kτ=623±86 MeV, respectively, largely independent of the remaining uncertainties of the surface and Coulomb terms in expanding KA, while the K values extracted from different isotopes chains are all well within the current uncertainty range of the community consensus for K. Moreover, the size and origin of the “soft Sn puzzle” is studied with respect to the “stiff Pb phenomenon.” It is found that the latter is favored due to a much larger (by 380 MeV) Kτ for Pb isotopes than for Sn isotopes, while K from analyzing the KA data of Sn isotopes is only about 5 MeV less than that from analyzing the Pb data.

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  • Received 21 February 2021
  • Revised 27 July 2021
  • Accepted 1 September 2021

DOI:https://doi.org/10.1103/PhysRevC.104.034610

©2021 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Bao-An Li1,* and Wen-Jie Xie2

  • 1Department of Physics and Astronomy, Texas A&M University-Commerce, Texas 75429-3011, USA
  • 2Department of Physics, Yuncheng University, Yuncheng 044000, China

  • *Bao-An.Li@Tamuc.edu

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Issue

Vol. 104, Iss. 3 — September 2021

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