Does exchange produce [ital L] dependence in the optical model potential

Journal Article · Mon Aug 01 04:00:00 EDT 1994 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.50.968· OSTI ID:7015166

Lukaszek, D; Rawitscher, G H ^[1]

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1. Physics Department, University of Connecticut, Storrs, Connecticut 06268 (United States)

We obtain a local but angular momentum dependent potential [ital V][sub [ital L]] which is phase equivalent to a Hartree-Fock nonlocal potential for the description of nucleon-nucleus scattering. We first identify two different pieces of the microscopic effective nucleon-nucleon interaction, guided by an analysis of the [ital L]-dependent properties of the conventional microscopic direct and exchange matrix elements of the [ital n]-[ital n] interaction. By separately folding these two pieces of the effective [ital n]-[ital n] interaction over the nucleons in the target nucleus we obtain two different microscopic local potentials. We finally obtain [ital V][sub [ital L]] from the superposition of these two potentials with [ital L]-dependent coefficients, determined such that the deviation of the scattering wave function from the exact solution of the nonlocal Schroedinger equation, with the Hartree-Fock potential, is as small as possible. We provide a numerical example for [ital n]-[sup 16]O scattering at 20 and 50 MeV. We find that the deviation of the wave functions for [ital V][sub [ital L]] is only a little smaller than the deviation for a local [ital L]-independent potential obtained by inversion of the scattering phase shifts. Hence the latter provides a nearly optimum local description of the exchange nonlocality.

• OSTI ID: 7015166
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 50:2; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
BARYON REACTIONS
BARYON-BARYON INTERACTIONS
CALCULATION METHODS
ELASTIC SCATTERING
ENERGY RANGE
EXCHANGE INTERACTIONS
FUNCTIONS
HADRON REACTIONS
HADRON-HADRON INTERACTIONS
HARTREE-FOCK METHOD
INTERACTIONS
MEV RANGE
MEV RANGE 10-100
NEUTRON REACTIONS
NUCLEAR REACTIONS
NUCLEON REACTIONS
NUCLEON-NUCLEON INTERACTIONS
OPTICAL MODELS
OXYGEN 16 TARGET
PARTICLE INTERACTIONS
PHASE SHIFT
POTENTIALS
SCATTERING
TARGETS
WAVE FUNCTIONS