Equation of state and radii of finite nuclei in the presence of a diffuse surface layer

Abstract

The definition of nuclear surface and nuclear radii is considered within Gibbs-Tolman-Widom (GTW) approach. We demonstrate the non-monotonic behavior of the nuclear equimolar radii which is due to the shell effects in the chemical potential of finite nuclei.

Influence of surface effects on neutron skin in atomic nuclei

“…In order to consider the asymmetry of the diffuse surface of the spatial distribution of nucleons, according to the direct variational method (see, for example, [9,12]), we adopt the trial function for () q  r as a power of the Fermi function, namely…”

“…Second, we consider the diffuse spatial distribution of nucleons in a nucleus. We apply the direct variational method based on the specific Fermi-like trial functions [4,9,10] and the bulk nucleon density is normalized to that obtained using the GT approach. The comparison of the two above mentioned considerations allow us to allocate the effects of the surface layer on rms radii and their isotopic shift.…”

Untitled

“…By the assumption of the GT approach, the nuclear matter inside a certain volume is taken to be in a state having the same values of chemical potentials as those of the real nucleus (see [9])…”

Influence of surface effects on neutron skin in atomic nuclei

“…Second, we consider the diffuse spatial distribution of nucleons in a nucleus. We apply the the direct variational method based on the specific Fermi-like trial functions [4,9,10] and the bulk nucleon density is normalized to that obtained using the GT approach. The comparison of the two above mentioned considerations allow us to allocate the effects of the surface layer on rms radii and their isotopic shift.…”

“…By the assumption of the GT approach, the nuclear matter inside certain volume is taken to be in a state having the same values of chemical potentials as those of real nucleus (see [9])…”