Correlations between the nuclear breathing mode energy and properties of asymmetric nuclear matter

Abstract

Based on microscopic Hartree–Fock + random phase approximation calculations with Skyrme interactions, we study the correlations between the nuclear breathing mode energy EISGMR and properties of asymmetric nuclear matter with a recently developed analysis method. Our results indicate that the EISGMR of 208Pb exhibits moderate correlations with the density slope L of the symmetry energy and the isoscalar nucleon effective mass m*s, 0 besides a strong dependence on the incompressibility K0 of symmetric nuclear matter. Using the present empirical values of L = 60 ± 30 MeV and m*s, 0 = (0.8 ± 0.1)m, we obtain a theoretical uncertainty of about ±16 MeV for the extraction of K0 from the EISGMR of 208Pb. Furthermore, we find that the EISGMR difference between 100Sn and 132Sn strongly correlates with L and thus provides a potentially useful probe of the symmetry energy.