Nuclear symmetry energy and neutron skin thickness of ²⁰⁸Pb using a finite range effective interaction

Abstract

We use a finite range simple effective interaction to construct nuclear equations of state for the study of the density dependence of the nuclear symmetry energy. The EoSs provide good descriptions of the nuclear symmetry energy at a subsaturation density ρc = 0.11 fm−3 and at a density around two times the saturation density ρ0. We obtain a correlation between the neutron skin thickness in 208Pb and the density slope parameter at the subsaturation density. A linear relation is obtained between the neutron skin thickness and the parameter , where Es(ρ0) and L(ρc) are respectively the nuclear symmetry energy at saturation density and the density slope parameter at the subsaturation density.

Bayesian inference of nucleus resonance and neutron skin

“…The isovector giant dipole resonance (IVGDR), an oscillation mode in which neutrons and protons move collectively relative to each other in a nucleus, is a good probe of the E sym [13,[24][25][26][27][28][29][30][31][32][33][34][35], while it was recently found to be sensitive to the nucleon effective mass as well [20,21,23]. The neutron-skin thickness, defined as the difference in the root-mean-square radii of neutrons and protons, i.e., ∆r np = ⟨r 2 n ⟩ − ⟨r 2 p ⟩, is one of the most robust probes of the slope parameter of the E sym [36][37][38][39][40][41][42][43][44][45][46]. Despite the effectiveness of these probes in constraining the nuclear matter EOS and the nuclear interaction, contradictory information is sometimes obtained.…”

Bayesian inference of finite-nuclei observables based on the KIDS model

“…The isoscalar giant quadrupole resonance (ISGQR), an oscillation mode with quadrupole deformation of a nucleus, has been found to be much affected by the isoscalar nucleon effective mass m s [2,[12][13][14][15][16][17][18][19]. The neutron-skin thickness ∆r np is the difference in root-mean-square neutron and proton radii, and its values for heavy nuclei are among the most robust probes of the nuclear symmetry energy at subsaturation densities [20][21][22][23][24][25][26][27][28][29][30]. The recent PREXII data of ∆r np = 0.283 ± 0.071 fm for 208 Pb from parity violating electron-nucleus scatterings [31] favors a rather stiff nuclear symmetry energy [32], inconsistent with the old ∆r np data for Sn isotopes from proton elastic scattering experiments [33] as well as the CREX data for 48 Ca to be announced [34].…”

Evolution of nuclear charge radii in copper and indium isotopes

“…Especially, the evolution of charge radii can reflect the inner structure of nuclei, such as halo structure, coexistence states, onset of deformation, etc [4][5][6][7]. Otherwise, direct determination of the neutron-skin thickness which is known as one of the most sensitive terrestrial probes of the symmetry energy in equation of state (EoS) usually involves the precise measurement of the charge density distribution [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. Therefore, accurate description of nuclei charge radii plays an essential role in experimental and theoretical studies.…”