Effects of the density dependence of the nuclear symmetry energy on the properties of superheavy nuclei

Abstract

Effects of the density dependence of the nuclear symmetry energy on ground-state properties of superheavy nuclei are studied in the relativistic mean-field theory. It is found that the softening of the symmetry energy plays an important role in the empirical shift [Phys. Rev. C 67, 024309 (2003)] of spherical orbitals in superheavy nuclei. The calculation based on the relativistic mean-field models NL3 and FSUGold supports the double shell closure in 292 120 with the softening of the symmetry energy. In addition, the significant effect of the density dependence of the symmetry energy on the neutron skin thickness in superheavy nuclei is investigated.

Symmetry energy softening in nuclear matter with non-nucleonic constituents

“…In quark matter, we include the up, down and strange quarks. For the hadron phase, besides the density-dependent RMF models SLC and SLCd, we also choose a few nonlinear RMF models in the calculation: NL3 [30], TM1 [31] and NL3w3 [32]. The TM1 parameter set has a much softer vector potential than the NL3 and NL3w3, while the SLC and SLCd have additional rearrangement term, see Eq.(6).…”

“…The term E non is the energy density from the nonlinear meson self-interaction terms. In usual nonlinear RMF models, the parameters are not densitydependent [30][31][32]. However, if the nonlinear vector meson terms are included, the vector meson masses in C ω and C ρ in Eq.…”

Critical density and impact ofΔ(1232)resonance formation in neutron stars

“…Given the density dependencies of the symmetry energy and self-energies, this equation determines the ρ The nonlinear RMF model has been very successful in describing many nuclear properties and phenomena during the last few decades, see e.g., refs. [41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59]. The total Lagrangian density of the nonlinear RMF model of ref.…”

Impacts of the tensor couplings ofωandρmesons and Coulomb-exchange terms on superheavy nuclei and their relation to the symmetry energy

“…[7] and the references therein). For instance, the microscopic-macroscopic model predicts SHN with Z = 114 and N = 184 as double shell closure [10], Non-relativistic Skryme models predict double shell closures at nuclei with Z = 114 and N = 184 [11], with Z = 120 and N = 172 [11][12][13] as well as with Z = 126 and N = 184 [11,12,14], while most of the RMF models predict SHN with Z = 120 and N = 172 as double shell closure [11,12,15,16].…”

“…[21] for recent review). It is reported recently that the softening of the symmetry energy has also important impacts on the empirical shift of spherical states in SHN, the neutron skin thicknesses of SHN, and the central depression of the density of 292 120 [16]. The author of…”