Generalized Seniority on Deformed Single-Particle Basis

Abstract

Recently we proposed [62] a fast computing scheme for generalized seniority on spherical single-particle basis. This work redesigns the scheme to make it applicable to deformed single-particle basis. The algorithm is applied to the rare-earth nucleus ${}_{64}^{158}$Gd${}_{94}$ for intrinsic (body-fixed frame) neutron excitations under the low-momentum {\emph{NN}} interaction $V_{\mathrm{low}-\mathrm{k}}$. By allowing as many as four broken pairs, we compute the lowest $300$ intrinsic states of several multipolarity. These states converge well to the exact ones, showing generalized seniority is very effective in truncating the deformed shell model. Under realistic interactions, the picture remains approximately valid that the ground state is a coherent pair condensate, and the pairs gradually break up as excitation energy increases.

References in corpus (12)

• Shell-model calculations and realistic effective interactions
• Particle-Number Projection and the Density Functional Theory
• Variation after Particle-Number Projection for the HFB Method with the Skyrme Energy Density Functional
• Heavy deformed nuclei in the shell model Monte Carlo method
• Crossover from vibrational to rotational collectivity in heavy nuclei in the shell-model Monte Carlo approach
• Emergence of rotational bands in ab initio no-core configuration interaction calculations of the Be isotopes
• Angular Momentum Projected Configuration Interaction with Realistic Hamiltonians
• Large-scale shell-model calculations on the spectroscopy of $N<126$ Pb isotopes
• Number-conserving theory of nuclear pairing gaps: a global assessment
• Generalized seniority for the shell model with realistic interactions
• Combining symmetry breaking and restoration with configuration interaction: a highly accurate many-body scheme applied to the pairing Hamiltonian
• Generalized seniority with realistic interactions in open-shell nuclei