Overlap functions, spectroscopic factors, and asymptotic normalization coefficients generated by a shell-model source term

Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.81.064306· OSTI ID:21388581

Timofeyuk, N K ^[1]

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1. Department of Physics, University of Surrey, Guildford, Surrey GU2 7XH (United Kingdom)

Overlap functions for one-nucleon removal are calculated as solutions of the inhomogeneous equation. The source term for this equation is generated by the 0(Planck constant/2pi)omega no-core shell-model wave functions and the effective nucleon-nucleon (NN) interactions that fit oscillator matrix elements derived from the NN scattering data. For the lightest A<=4 nuclei this method gives reasonable agreement with exact ab initio calculations. For 4<A<=16, this method gives a fair agreement between the calculated and measured asymptotic normalization coefficients. The spectroscopic factors obtained show systematic deviation from the corresponding shell-model values. This deviation correlates with nucleon separation energies and follows a similar trend seen in the reduction factor of the nucleon knockout cross sections. Comparison with the overlap functions and spectroscopic factors obtained in the variational Monte Carlo method is presented and discussed.

• OSTI ID: 21388581
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 81, Issue 6; Other Information: DOI: 10.1103/PhysRevC.81.064306; (c) 2010 The American Physical Society; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ASYMPTOTIC SOLUTIONS
BINDING ENERGY
COMPARATIVE EVALUATIONS
CROSS SECTIONS
EQUATIONS
KNOCK-OUT REACTIONS
MATRIX ELEMENTS
MONTE CARLO METHOD
NUCLEI
NUCLEON-NUCLEON INTERACTIONS
NUCLEONS
OSCILLATORS
REDUCTION
SCATTERING
SHELL MODELS
SPECTROSCOPIC FACTORS
VARIATIONAL METHODS
WAVE FUNCTIONS
BARYON-BARYON INTERACTIONS
BARYONS
CALCULATION METHODS
CHEMICAL REACTIONS
DIMENSIONLESS NUMBERS
DIRECT REACTIONS
ELECTRONIC EQUIPMENT
ELEMENTARY PARTICLES
ENERGY
EQUIPMENT
EVALUATION
FERMIONS
FUNCTIONS
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
NUCLEAR MODELS
NUCLEAR REACTIONS
PARTICLE INTERACTIONS