Shell-model phenomenology of low-momentum interactions

Journal Article · Fri Dec 15 04:00:00 EST 2006 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.74.061302· OSTI ID:20864178

Schwenk, Achim ^[1]; Zuker, Andres P ^[2]

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1. Nuclear Theory Center, Indiana University, 2401 Milo B. Sampson Lane, Bloomington, Indiana 47408 (United States)
2. Institut de Recherches Subatomiques, IN2P3-CNRS, Universite Louis Pasteur, F-67037 Strasbourg (France)

The first detailed comparison of the low-momentum interaction V{sub lowk} with G matrices is presented. We use overlaps to measure quantitatively the similarity of shell-model matrix elements for different cutoffs and oscillator frequencies. Over a wide range, all sets of V{sub lowk} matrix elements can be approximately obtained from a universal set by a simple scaling. In an oscillator mean-field approach, V{sub lowk} reproduces satisfactorily many features of the single-particle and single-hole spectra on closed-shell nuclei, in particular through remarkably good splittings between spin-orbit partners on top of harmonic oscillator closures. The main deficiencies of pure two-nucleon interactions are associated with binding energies and with the failure to ensure magicity for the extruder-intruder closures. Here, calculations including three-nucleon interactions are most needed. V{sub lowk} makes it possible to define directly a meaningful unperturbed monopole Hamiltonian, for which the inclusion of three-nucleon forces is tractable.

• OSTI ID: 20864178
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 6 Vol. 74; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BINDING ENERGY
COMPARATIVE EVALUATIONS
G MATRIX
HAMILTONIANS
HARMONIC OSCILLATORS
L-S COUPLING
MATRIX ELEMENTS
MEAN-FIELD THEORY
NUCLEI
NUCLEON-NUCLEON INTERACTIONS
OSCILLATORS
SHELL MODELS
SINGLE-PARTICLE MODEL
SPIN