Optimization of the number of intrinsic states included in the discrete Generator Coordinate Method

Abstract

We present a mechanism to efficiently pre-select the number of intrinsic many-body states that are used to define the many-body wave functions within the discrete Generator Coordinate Method (GCM). This procedure, based on the proper definition of a natural basis of orthonormal states, does not require the evaluation of the non-diagonal Hamiltonian kernels to do the selection and helps to reduce the numerical instabilities. The performance of the method is analyzed in detail in the ground state and $0^{+}$ excited states of some selected nuclei computed with the Gogny energy density functional.

References in corpus (6)

• Multi-reference many-body perturbation theory for nuclei III -- Ab initio calculations at second order in PGCM-PT
• Projection on particle number and angular momentum: Example of triaxial Bogoliubov quasiparticle states
• Neutrinoless double-beta decay matrix elements in large shell-model spaces with the generator-coordinate method
• Symmetry-projected variational calculations with the numerical suite TAURUS I. Variation after particle-number projection
• Variational approximations to exact solutions in shell-model valence spaces: systematic calculations in the $sd$-shell
• Application of efficient generator-coordinate subspace-selection algorithm to neutrinoless double-$\beta$ decay

Cited by in corpus (1)

• Optimization of generator coordinate method with machine-learning techniques for nuclear spectra and neutrinoless double-beta decay: ridge regression for nuclei with axial deformation