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Ab initioshell model with a genuine three-nucleon force for thep-shell nuclei

2003/05/29 by P. Navratil, P. Navrátil, W. E. Ormand · 261 citations
Physics and Astronomy · #Ab initio #Atomic and Molecular Physics #Atomic physics #Binding energy #Few-body systems #Formalism (music) #Materials science #Nuclear physics research studies #Nucleon #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #SHELL model #Shell (structure) #Spectral line #nucl-th

paper · pdf · doi:10.1103/physrevc.68.034305

published in Physical Review C 68(3) (American Institute of Physics) · 25 pages, 8 figures

arxiv created 2003/05/29 · openalex publication_date 2003/09/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The ab initio no-core shell model (NCSM) is extended to include a realistic three-body interaction in calculations for p-shell nuclei. The NCSM formalism is reviewed and new features needed in calculations with three-body forces are discussed in detail. We present results of first applications to 6,7Li, 6He, 7,8,10Be, 10,11,12B, 12N, and 10,11,12,13C using the Argonne V8^\ensuremath' nucleon-nucleon (NN) potential and the Tucson-Melbourne TM^\ensuremath'(99) three-nucleon interaction (TNI). In addition to increasing the total binding energy, we observe a substantial sensitivity in the low-lying spectra to the presence of the realistic three-body force and an overall improvement in level ordering and level spacing in comparison to experiment. The greatest sensitivity occurs for states where the spin-orbit interaction strength is known to play a role. In particular, with the TNI we obtain the correct ground-state spin for 10,11,12B and 12N, contrary to calculations with NN potentials only.

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