Systematics of binding energies and radii based on realistic two-nucleon plus phenomenological three-nucleon interactions

Journal Article · Sun Aug 15 04:00:00 EDT 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.82.024319· OSTI ID:21419432

Guenther, A; Roth, R; Reinhardt, S ^[1]; Hergert, H ^[2]

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1. Institut fuer Kernphysik, Technische Universitaet Darmstadt, D-64289 Darmstadt (Germany)
2. National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824 (United States)

We investigate the influence of phenomenological three-nucleon interactions on the systematics of ground-state energies and charge radii throughout the whole nuclear mass range from {sup 4}He to {sup 208}Pb. The three-nucleon interactions supplement unitarily transformed two-body interactions constructed within the unitary correlation operator method or the similarity renormalization group approach. To be able to address heavy nuclei as well, we treat the many-body problem in Hartree-Fock plus many-body perturbation theory, which is sufficient to assess the systematics of energies and radii, and limit ourselves to regularized three-body contact interactions. We show that even with such a simplistic three-nucleon interaction a simultaneous reproduction of the experimental ground-state energies and charge radii can be achieved, which is not possible with unitarily transformed two-body interactions alone.

• OSTI ID: 21419432
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 2 Vol. 82; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
APPROXIMATIONS
BARYON-BARYON INTERACTIONS
BARYONS
BINDING ENERGY
CALCULATION METHODS
CORRELATIONS
ELEMENTARY PARTICLES
ENERGY
ENERGY LEVELS
FERMIONS
GROUND STATES
HADRON-HADRON INTERACTIONS
HADRONS
HARTREE-FOCK METHOD
INTERACTIONS
MANY-BODY PROBLEM
MASS
NUCLEON-NUCLEON INTERACTIONS
NUCLEONS
PARTICLE INTERACTIONS
PERTURBATION THEORY
RENORMALIZATION
REPRODUCTION
THREE-BODY PROBLEM
TWO-BODY PROBLEM