Bayesian uncertainty quantification for nuclear matter incompressibility

Abstract

Within a Bayesian statistical framework using the standard Skyrme-Hartree-Fock model, the maximum {\it a posteriori} (MAP) values and uncertainties of nuclear matter incompressibility and isovector interaction parameters are inferred from the experimental data of giant resonances and neutron-skin thicknesses of typical heavy nuclei. With the uncertainties of the isovector interaction parameters constrained by the data of the isovector giant dipole resonance and the neutron-skin thickness, we have obtained $K_0=223_{-8}^{+7}$ MeV at 68% confidence level using the data of the isoscalar giant monopole resonance in ${}^{208}$Pb measured at the Research Center for Nuclear Physics (RCNP), Japan, and at the Texas A&M University (TAMU), USA. Although the corresponding ${}^{120}$Sn data gives a MAP value for $K_0$ about 5 MeV smaller than the ${}^{208}$Pb data, there are significant overlaps in their posterior probability distribution functions.

arXiv comment7 pages, 4 figures

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