Extensive Hartree-Fock+BCS calculation with Skyrme SIII force

Abstract

We have performed deformed Hartree-Fock+BCS calculations with the Skyrme SIII force for the ground states of even-even nuclei with 2 ≤ Z ≤ 114 and N ranging from outside the proton drip line to beyond the experimental frontier in the neutron-rich side. We obtained spatially localized solutions for 1029 nuclei, together with the second minima for 758 nuclei. The single-particle wavefunctions are expressed in a three-dimensional Cartesian-mesh representation, which is suitable to describe nucleon skins, halos, and exotic shapes as well as properties of ordinary stable nuclei. After explaining some of the practical procedures of the calculations, we compare the resulting nuclear masses with experimental data and the predictions of other models. We also discuss the quadrupole (m=0, 2) and hexadecapole (m=0, 2, 4) deformations, the skin thicknesses, the halo radii, and the energy difference between the oblate and the prolate solutions. Our results can be obtained via computer network.

Symmetry-unrestricted Skyrme–Hartree–Fock–Bogoliubov calculations for exotic shapes in nuclei from 64Ge to 84Mo

“…These gross features are consistent with available experimental data [60][61][62][63][64][65][66] and previous theoretical calculations [19,21,22,49,[67][68][69][70][71][72][73][74][75][76][77].…”

“…In the present calculation, the radius of the spherical container and mesh spacing are set to R mesh = 10.0 fm and h = 1.0 fm, respectively. Tajima et al [49,50] have carefully examined possible errors due to the use of the mesh size h = 1.0 fm and they found that, since discretization errors are essentially independent of the nuclear shape, deformation energies obtained with this mesh size are quite accurate (see also [51]). Actually, we have constructed the new Skyrme-HFB code by extending the cranked Skyrme-HF code [52] written previously and applied to the investigation of the yrast structure of 32 S, so that the cranking term can be included.…”

“…We use the SIII parameter set [53] of the Skyrme interaction for the mean-field (particle-hole) channel, which has been successful in describing systematically the ground state quadrupole deformations in proton and neutron rich Kr, Sr, Zr and Mo isotopes [19] and in a wide area of nuclear chart [49]. For the pairing (particle-particle) channel, we use the density-dependent zero-range interaction [13,14,17,[23][24][25][26][27][28][29][30], which has been successful in describing, for instance, the odd-even staggering effects in charge radii,…”

Canonical-basis time-dependent Hartree-Fock-Bogoliubov theory and linear-response calculations

“…The pairing energy is calculated for the constant monopole pairing interaction with a smooth truncation for the model space. We follow the prescription given by Tajima et al [17], which is equivalent to the following choice of G kl from Eq. (61),…”

“…To determine the pairing strength constant g for each nuclei, we again follow the prescription of Ref. [17], which is practically identical to the one in Ref. [18].…”