Bayesian inference of finite-nuclei observables based on the KIDS model
Jun Xu, P. Papakonstantinou
Abstract
Bayesian analyses on both isoscalar and isovector nuclear interaction parameters are carried out based on the Korea-IBS-Daegu-SKKU (KIDS) model under the constraints of selected nuclear structure data of $^{208}\mathrm{Pb}$ and $^{120}\mathrm{Sn}$. Under the constraint of the neutron-skin thickness, it is found that incorporating the curvature parameter ${K}_{\mathrm{sym}}$ of the nuclear symmetry energy as an independent variable significantly broadens the posterior probability distribution function (PDF) of the slope parameter $L$ and affects the related correlations. Typically, the anticorrelation between $L$ and the symmetry energy at saturation density disappears, while a positive correlation between $L$ and ${K}_{\mathrm{sym}}$ is observed. Under the constraint of the isoscalar giant monopole resonance (ISGMR), incorporating the skewness parameter as an independent variable also significantly broadens the posterior PDF of the nuclear matter incompressibility ${K}_{0}$. Even with the broad uncertainties of higher-order parameters of the equation of state (EOS), robust constraints of $L<90\phantom{\rule{4pt}{0ex}}\mathrm{MeV}$ and ${K}_{0}<270\phantom{\rule{4pt}{0ex}}\mathrm{MeV}$ are obtained. Our results suggest some compatibility between the ISGMR data of $^{208}\mathrm{Pb}$ and $^{120}\mathrm{Sn}$ but not of the isovector observables, especially the neutron-skin thickness.