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Title: Separable potential approach in folding model

Abstract

The elastic scattering of the n-/sup 4/He system is studied as a two-body problem, via a folding model using separable potentials. The two-body effective potential between the nucleon and the /sup 4/He nucleus is generated by folding in an effective separable N-N potential with the nucleonic distribution of the nucleus. Full advantage of the mathematical convenience of separable potentials is taken in both the folding procedure and the scattering solution. Separability can be retained throughout the calculations from the two-nucleon phenomenological potential all the way to the derived optical potential for the n-/sup 4/He system, even when the single nucleon knockout exchange term is included. The folding formalism involves coordinate transformations using oscillator basis and the Talmi-Moshinsky method for unequal masses. A numerical method based on the Bloch L-operator, the plane-wave expansion of the wave function by Robson and Koshel, and a matrix-inversion technique is developed to evaluate the phase shifts for s/sub 1/2/, p/sub 1/2/ and p/sub 3/2/ of the n-/sup 4/He elastic scattering. The results are qualitatively good when a simple G-matrix concept is introduced. Two free parameters are needed for the three scattering states considered. Our results show that, indeed, the free N-N interaction alone will notmore » work and an effective two-body interaction is necessary in the folding calculations.« less

Authors:
Publication Date:
Research Org.:
Florida State Univ., Tallahassee (USA)
OSTI Identifier:
6245532
Resource Type:
Thesis/Dissertation
Resource Relation:
Other Information: Thesis (Ph. D.)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; HELIUM 4 TARGET; NEUTRON REACTIONS; ELASTIC SCATTERING; G MATRIX; NUCLEON-NUCLEON POTENTIAL; NUMERICAL SOLUTION; PHASE SHIFT; TWO-BODY PROBLEM; BARYON REACTIONS; HADRON REACTIONS; MANY-BODY PROBLEM; MATRICES; NUCLEAR REACTIONS; NUCLEON REACTIONS; POTENTIALS; SCATTERING; TARGETS; 651215* - Nuclear Properties & Reactions, A=1-5, Theoretical- Nuclear Reactions & Scattering- (-1987)

Citation Formats

Lee, C L. Separable potential approach in folding model. United States: N. p., 1979. Web.
Lee, C L. Separable potential approach in folding model. United States.
Lee, C L. 1979. "Separable potential approach in folding model". United States.
@article{osti_6245532,
title = {Separable potential approach in folding model},
author = {Lee, C L},
abstractNote = {The elastic scattering of the n-/sup 4/He system is studied as a two-body problem, via a folding model using separable potentials. The two-body effective potential between the nucleon and the /sup 4/He nucleus is generated by folding in an effective separable N-N potential with the nucleonic distribution of the nucleus. Full advantage of the mathematical convenience of separable potentials is taken in both the folding procedure and the scattering solution. Separability can be retained throughout the calculations from the two-nucleon phenomenological potential all the way to the derived optical potential for the n-/sup 4/He system, even when the single nucleon knockout exchange term is included. The folding formalism involves coordinate transformations using oscillator basis and the Talmi-Moshinsky method for unequal masses. A numerical method based on the Bloch L-operator, the plane-wave expansion of the wave function by Robson and Koshel, and a matrix-inversion technique is developed to evaluate the phase shifts for s/sub 1/2/, p/sub 1/2/ and p/sub 3/2/ of the n-/sup 4/He elastic scattering. The results are qualitatively good when a simple G-matrix concept is introduced. Two free parameters are needed for the three scattering states considered. Our results show that, indeed, the free N-N interaction alone will not work and an effective two-body interaction is necessary in the folding calculations.},
doi = {},
url = {https://www.osti.gov/biblio/6245532}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 1979},
month = {Mon Jan 01 00:00:00 EST 1979}
}

Thesis/Dissertation:
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