2021/02/28 by Bao-An Li, Wen-Jie Xie
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Atomic physics #Isoscalar #Isospin #Isotopes of tin #Mass number #Neutron #Nuclear matter #Nuclear physics #Nuclear physics research studies #Nucleon #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #astro-ph.HE #nucl-ex #nucl-th
paper · pdf · doi:10.1103/physrevc.104.034610
published as Phys. Rev. C 104, 034610 (2021) · More discussions added. Phys. Rev. C in press
arxiv created 2021/09/02 · openalex publication_date 2021/09/09 · arxiv updated 2021/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Both the incompressibility KA of a finite nucleus of mass A and that (K_\ensuremath∞) of infinite nuclear matter are fundamentally important for many critical issues in nuclear physics and astrophysics. While some consensus has been reached about K_\ensuremath∞, accurate theoretical predictions and experimental extractions of K_\ensuremathτ characterizing the isospin dependence of KA have been very difficult. We propose a differential approach to extract K_\ensuremathτ and K_\ensuremath∞ 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 106Cd\text\ensuremath-116Cd and 112Sn\text\ensuremath-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_\ensuremathτ value of K_\ensuremathτ=\ensuremath-616\ifmmode±\else\textpm\fi59 MeV and K_\ensuremathτ=\ensuremath-623\ifmmode±\else\textpm\fi86 MeV, respectively, largely independent of the remaining uncertainties of the surface and Coulomb terms in expanding KA, while the K_\ensuremath∞ values extracted from different isotopes chains are all well within the current uncertainty range of the community consensus for K_\ensuremath∞. 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 \ensuremath≈380 MeV) K_\ensuremathτ for Pb isotopes than for Sn isotopes, while K_\ensuremath∞ from analyzing the KA data of Sn isotopes is only about 5 MeV less than that from analyzing the Pb data.