Mass parameters in the adiabatic time-dependent Hartree-Fock approximation. II. Results for the isoscalar quadrupole mode

The formalism presented in the preceding paper is used to compute self-consistent adiabatic mass parameters for the isoscalar quadrupole modes. Skyrme-like effective forces have been used. A detailed study of the practical methods of calculation is made. A special attention is devoted to the problem of numerical accuracy. Results are presented for both scaling and constrained Hartree-Fock paths. A comparative discussion of the two corresponding sets of results is made. The method used to calculate self-consistent mass parameters for the constrained Hartree-Fock path provides, as a byproduct, the non-self-consistent cranking mass. This method (for self-consistent as well as cranking masses) is free of continuum problems inherent to the application of the usual cranking formula. The effect of self-consistency is extensively studied by use of a large set of Skyrme-like forces.

NUCLEAR STRUCTURE ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$, ${}_{}{}^{48}{}_{}{}^{}\mathrm{Ca}$, ${}_{}{}^{56}{}_{}{}^{}\mathrm{Ni}$, ${}_{}{}^{90}{}_{}{}^{}\mathrm{Zr}$, ${}_{}{}^{140}{}_{}{}^{}\mathrm{Ce}$, ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$; mass parameters for isoscalar quadrupole collective motion calculated within time-dependent Hartree-Fock approximation in adiabatic limit. Skyrme-like forces used. Numerical accuracy discussed. Self-consistent results for both scaling and constrained Hartree-Fock paths discussed. Validity of Inglis cranking masses assessed. Influence of forces studied.