Abstract
Both the incompressibility of a finite nucleus of mass and that () of infinite nuclear matter are fundamentally important for many critical issues in nuclear physics and astrophysics. While some consensus has been reached about , accurate theoretical predictions and experimental extractions of characterizing the isospin dependence of have been very difficult. We propose a differential approach to extract and independently from the data of any two nuclei in a given isotope chain. Applying this method to the 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 and pairs having the largest differences in isospin asymmetries in their respective isotope chains measured so far provide consistently the most accurate up-to-date value of MeV and MeV, respectively, largely independent of the remaining uncertainties of the surface and Coulomb terms in expanding , while the values extracted from different isotopes chains are all well within the current uncertainty range of the community consensus for . 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 MeV) for Pb isotopes than for Sn isotopes, while from analyzing the data of Sn isotopes is only about 5 MeV less than that from analyzing the Pb data.
- Received 21 February 2021
- Revised 27 July 2021
- Accepted 1 September 2021
DOI:https://doi.org/10.1103/PhysRevC.104.034610
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