{sup 7}Be(p,{gamma}){sup 8}B S factor from ab initio no-core shell model wave functions
- Lawrence Livermore National Laboratory, P.O. Box 808, L-414, Livermore, California 94551 (United States)
Nuclear structure of {sup 7}Be, {sup 8}B, and {sup 7,8}Li is studied within the ab initio no-core shell model (NCSM). Starting from high-precision nucleon-nucleon (NN) interactions, wave functions of {sup 7}Be and {sup 8}B bound states are obtained in basis spaces up to 10({Dirac_h}/2{pi}){omega} and used to calculate channel cluster form factors (overlap integrals) of the {sup 8}B ground state with {sup 7}Be+p. Due to the use of the harmonic oscillator (HO) basis, the overlap integrals have incorrect asymptotic properties. We fix this problem in two alternative ways. First, by a Woods-Saxon potential solution fit to the interior of the NCSM overlap integrals. Second, by a direct matching with the Whittaker function. The corrected overlap integrals are then used for the {sup 7}Be(p,{gamma}){sup 8}B S-factor calculation. We study the convergence of the S factor with respect to the NCSM HO frequency and the model space size. Our S factor results agree with recent direct measurement data. We also test the spectroscopic factors and the corrected overlap integrals from the NCSM in describing the momentum distributions in knockout reactions with {sup 8}B projectiles. A good agreement with the available experimental data is also found, attesting to the overall consistency of the calculations.
- OSTI ID:
- 20771609
- Journal Information:
- Physical Review. C, Nuclear Physics, Vol. 73, Issue 6; Other Information: DOI: 10.1103/PhysRevC.73.065801; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
BERYLLIUM 7
BORON 8
BOUND STATE
CONVERGENCE
DISTRIBUTION
FORM FACTORS
GROUND STATES
HARMONIC OSCILLATORS
KNOCK-OUT REACTIONS
LITHIUM 8
MATHEMATICAL SOLUTIONS
NUCLEAR STRUCTURE
NUCLEON-NUCLEON INTERACTIONS
PROTON REACTIONS
SHELL MODELS
SPECTROSCOPIC FACTORS
WAVE FUNCTIONS
WOODS-SAXON POTENTIAL