Factorization of shell-model ground-states

Abstract

We present a new method that accurately approximates the shell-model ground-state by products of suitable states. The optimal factors are determined by a variational principle and result from the solution of rather low-dimensional eigenvalue problems. The power of this method is demonstrated by computations of ground-states and low-lying excitations in sd-shell and pf-shell nuclei.

5+epsilon pages, 5 eps-figures. Main additions: wave-function overlaps, angular momentum expectation values, application to Ni56. To be published as Rapid Communication in PRC

References in corpus (11)

• Quantum Monte Carlo Calculations of $A\le 6$ Nuclei
• Quantum Monte Carlo Calculations of Light Nuclei
• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• Quantum Monte Carlo calculations of $A=9,10$ nuclei
• A Full $PF$ Shell Model Study of a~=~48 Nuclei
• Monte Carlo evaluation of path integrals for the nuclear shell model
• Full $0\hslash \omega$ shell model calculation of the binding energies of the $1f_{7/2}$ nuclei
• Chaotic wave functions and exponential convergence of low-lying energy eigenvalues
• Truncation Method for the Shell Model Calculation
• The Density Matrix Renormalization Group Method and Large-Scale Nuclear Shell-Model Calculations
• A New Approach to Large-Scale Nuclear Structure Calculations

Cited by in corpus (21)

• The Shell Model as Unified View of Nuclear Structure
• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Double Beta Decay
• Factorization in large-scale many-body calculations
• Ab initio coupled-cluster theory for open-shell nuclei
• The Density Matrix Renormalization Group for finite Fermi systems
• Proton-neutron entanglement in the nuclear shell model
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Quantum Simulations in Effective Model Spaces (I): Hamiltonian Learning-VQE using Digital Quantum Computers and Application to the Lipkin-Meshkov-Glick Model
• Density matrix renormalization group and wave function factorization for nuclei
• Variational procedure for nuclear shell-model calculations and energy-variance extrapolation
• Hartree-Fock-Bogoliubov Calculations in Coordinate Space: Neutron-Rich Sulfur, Zirconium, Cerium, and Samarium Isotopes
• Solution of large scale nuclear structure problems by wave function factorization
• Density Matrix Renormalization Group study of ${}^{48}$Cr and ${}^{56}$Ni
• 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
• Reducing Memory Cost of Exact Diagonalization using Singular Value Decomposition
• A Problem in the Statistical Description of Beta-Delayed Neutron Emission