Title: Differential analysis of incompressibility in neutron-rich nuclei

Abstract

Both the incompressibility K_A 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 K_τ characterizing the isospin dependence of K_A have been very difficult. We propose a differential approach to extract K_τ and K_∞ independently from the K_A data of any two nuclei in a given isotope chain. Applying this method to the K_A 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 ¹⁰⁶Cd–¹¹⁶Cd and ¹¹²Sn–¹²⁴Sn pairs having the largest differences in isospin asymmetries in their respective isotope chains measured so far provide consistently the most accurate up-to-date K_τ value of K_τ = –616 ± 59 MeV and K_τ =–623 ± 86 MeV, respectively, largely independent of the remaining uncertainties of the surface and Coulomb terms in expanding K_A, while the K_∞ values extracted from different isotopes chains are all well within the current uncertainty range of the community consensus for K_∞.more » Moreover, the size and origin of the “soft Sn puzzle” is studied with respect to the “stiff Pb phenomenon.” Furthermore, it is found that the latter is favored due to a much larger (by ≈ 380 MeV) K_τ for Pb isotopes than for Sn isotopes, while K_∞ from analyzing the K_A data of Sn isotopes is only about 5 MeV less than that from analyzing the Pb data.« less

Authors:

Li, Bao-An  ^[1];

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Xie, Wen-Jie ^[2]

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+ Show Author Affiliations

1. Texas A & M Univ., Commerce, TX (United States)
2. Yuncheng Univ. (China)

Publication Date:

Thu Sep 09 00:00:00 EDT 2021

Research Org.:

Texas A & M Univ., Commerce, TX (United States)

Sponsoring Org.:

USDOE Office of Science (SC)

OSTI Identifier:

1837890

Grant/Contract Number:  

SC0013702; SC0009971

Resource Type:

Accepted Manuscript

Journal Name:

Physical Review C

Additional Journal Information:

Journal Volume: 104; Journal Issue: 3; Journal ID: ISSN 2469-9985

Publisher:

American Physical Society (APS)

Country of Publication:

United States

Language:

English

Subject:

73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Low & intermediate energy heavy-ion reactions; Nuclear many-body theory; Nuclear matter; 90 ≤ A ≤ 149