Factorization of shell-model ground states

2003/01/31 by T. Papenbrock, D. J. Dean · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #cond-mat #nucl-th

paper · pdf · doi:10.1103/physrevc.67.051303

published as Phys.Rev. C67 (2003) 051303 · 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

arxiv created 2003/04/17 · openalex publication_date 2003/05/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a 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.

Cited by

• Density matrix renormalization group and wavefunction factorization for nuclei
• A weak entanglement approximation for nuclear structure: review and recent developments

Related

• Solution of large scale nuclear structure problems by wave function factorization
• Truncation of Large Shell-Model Eigenproblems by Model Space Partitioning
• Application of the optimized-basis generator coordinate method to low-lying excited states of sd-shell nuclei
• Mixed-Mode Calculations in Nuclear Physics
• Exploiting symmetries in nuclear Hamiltonians for ground state preparation