The relationship of the neutron-skin thickness to the symmetry energy and its slope

Abstract

The neutron-skin thickness of asymmetric semi-infinite nuclear matter is shown to be a function of Coulomb energy, the asymmetry-energy coefficient($J$), the slope($L$) of the asymmetry energy, and the incompressibility coefficient, in addition to he Fermi momentum and the asymmetry parameter. The relational formula is derived on the basis of the Hugenholtz-Van Hove theorem in the mean-field approximation for nuclear matter. Using the formula as a guide, the neutron-skin thickness($\delta R$) in ${}^{208}$Pb is examined. The linear correlation between $L$ and $\delta R$ appears as a kind of spurious ones through the model-dependent correlation of $L$ with $J$ which is included in the main components of the formula.

References in corpus (7)

• Neutron-Rich Nuclei in Heaven and Earth
• Accurate Determination of the Neutron Skin Thickness of ${}^{208}$Pb through Parity-Violation in Electron Scattering
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Neutron skin of 208Pb, nuclear symmetry energy, and the parity radius experiment
• Neutron skin thickness in droplet model with surface width dependence: indications of softness of the nuclear symmetry energy
• Information content of the parity-violating asymmetry in ${}^{208}$Pb
• Neutron-skin thickness determines the surface tension of a compressible nuclear droplet

Cited by in corpus (2)

• Theoretical and Experimental Constraints for the Equation of State of Dense and Hot Matter
• Neutron skins probed in proton knockout from neutron-rich nuclei