Generator-coordinate methods with symmetry-restored Hartree-Fock-Bogoliubov wave functions for large-scale shell-model calculations

The generator coordinate method (GCM) combined with the projection method is applied to large-scale shell-model calculations. The quadrupole deformation is taken as a generator coordinate and the GCM basis states are prepared by the quadrupole-constrained Hartree-Fock Bogoliubov method with the variation after particle-number projection. The resultant GCM wave function is a linear combination of the angular-momentum and parity projected basis states. We discuss how well the present method approximates the exact solution of the shell-model diagonalization method by the benchmark tests of Ca-48, Ni-56, and Cr-48 in the pf-shell model space and those of Ba-132 and Ba-133 in the 50 < N, Z < 82 model space.

Automated summary

The generator coordinate method combined with the projection method is applied to large-scale shell-model calculations, taking quadrupole deformation as the generator coordinate. The resulting GCM wave function is a linear combination of angular-momentum and parity projected basis states. Benchmark tests show how well the method approximates the exact solution of the shell-model diagonalization method in different model spaces.