Neutron skin thickness of ${}^{48}$Ca, ${}^{132}$Sn and ${}^{208}$Pb with KIDS density functional

Abstract

Neutron skin thickness ($R_{np}$) of the atomic nuclei ${}^{48}$Ca, ${}^{132}$Sn and ${}^{208}$Pb are considered in the KIDS (Korea:IBS-Daegu-Sungkyunkwan) density functional formalism. Model parameters most relevant to $R_{np}$ are constrained from standard nuclear data and neutron star properties determined from modern observations. Mean values of $R_{np}$ are obtained as 0.161, 0.220 and 0.160 fm for ${}^{48}$Ca, ${}^{132}$Sn and ${}^{208}$Pb, respectively, and the corresponding standard deviations are 0.011, 0.020 and 0.021 fm. Correlations between $R_{np}$ of the three nuclei are considered, and we find that $R_{np}$'s are correlated very strongly. We obtain correlation coefficient 0.978 between $R_{np}$ of ${}^{48}$Ca and ${}^{208}$Pb, and 0.996 between $R_{np}$ of ${}^{132}$Sn and ${}^{208}$Pb.

Comments: 9 pages, 3 tables, 1 figure