An importance sampling algorithm for generating exact eigenstates of the nuclear Hamiltonian

Abstract

We endow a recently devised algorithm for generating exact eigensolutions of large matrices with an importance sampling, which is in control of the extent and accuracy of the truncation of their dimensions. We made several tests on typical nuclei using a correlated basis obtained from partitioning the shell model space. The sampling so implemented allows not only for a substantial reduction of the shell model space but also for an extrapolation to exact eigenvalues and E2 strengths.

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References in corpus (3)

• Chaotic wave functions and exponential convergence of low-lying energy eigenvalues
• Shell Model Monte Carlo Investigation of Rare Earth Nuclei
• A simple iterative algorithm for generating selected eigenspaces of large matrices

Cited by in corpus (4)

• The Shell Model as Unified View of Nuclear Structure
• Importance Truncation for Large-Scale Configuration Interaction Approaches
• Solution of large scale nuclear structure problems by wave function factorization
• Monopole and Seniority Truncations in the Large-Scale Configuration Interaction Shell Model Approach