Solution of large scale nuclear structure problems by wave function factorization

Abstract

Low-lying shell model states may be approximated accurately by a sum over products of proton and neutron states. The optimal factors are determined by a variational principle and result from the solution of rather low-dimensional eigenvalue problems. Application of this method to sd-shell nuclei, pf-shell nuclei, and to no-core shell model problems shows that very accurate approximations to the exact solutions may be obtained. Their energies, quantum numbers and overlaps with exact eigenstates converge exponentially fast as the number of retained factors is increased.

12 pages, 12 figures (from 15 eps files) included

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Cited by in corpus (18)

• Double Beta Decay
• Factorization in large-scale many-body calculations
• Ab initio coupled-cluster theory for open-shell nuclei
• Proton-neutron entanglement in the nuclear shell model
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
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• BIGSTICK: A flexible configuration-interaction shell-model code (updated)
• Density matrix renormalization group and wave function factorization for nuclei
• Multi-Body Entanglement and Information Rearrangement in Nuclear Many-Body Systems
• Quantum Magic and Multi-Partite Entanglement in the Structure of Nuclei
• Weak entanglement approximation for nuclear structure
• Quantum Complexity Fluctuations from Nuclear and Hypernuclear Forces
• Extrapolation method in shell model calculations with deformed basis
• New variational Monte Carlo method with an energy variance extrapolation for large-scale shell-model calculations
• Lowest eigenvalue of the nuclear shell model Hamiltonian
• A Problem in the Statistical Description of Beta-Delayed Neutron Emission
• Practical recipes for the model order reduction, dynamical simulation, and compressive sampling of large-scale open quantum systems
• Broken Pair Model: A viable Alterative to the Shell Model for Odd-Spherical Nuclei