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Title: Resonating-group study of N + $sup 16$O scattering with a generator- coordinate technique

Abstract

The scattering of nucleons by $sup 16$O is studied with the resonating- group method. The $sup 16$O wave function used is a translationally invariant antisymmetrized product of single-particle wave functions of (1s)$sup 4$(1p)$sup 12$ configuration in a harmonic-oscillator well having an appropriately chosen width parameter. A generator-coordinate technique is employed to facilitate the computation of the nonlocal interaction between the nucleon and the $sup 16$O nucleus. This technique is discussed in some detail in order to demonstrate its utility in a nuclear problem involving a relatively large number of nucleons. Calculated results are compared with experimental data over a wide range of energies, and it is found that the agreement is in general quite satisfactory. Also, the result shows that in this particular problem the heavy-particle pickup process, which is properly taken into consideration by the use of a totally antisymmetric wave function, has a relatively small contribution. (AIP)

Authors:
;
Publication Date:
Research Org.:
School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455
OSTI Identifier:
4134894
NSA Number:
NSA-33-010681
Resource Type:
Journal Article
Journal Name:
Phys. Rev., C, v. 12, no. 5, pp. 1432-1446
Additional Journal Information:
Other Information: Orig. Receipt Date: 30-JUN-76
Country of Publication:
United States
Language:
English
Subject:
N68352* -Physics (Nuclear, Theoretical)-Nuclear Properties & Reactions, 6 <= A <= 19-Nuclear Reactions & Scattering; 641905*; *NEUTRON REACTIONS- ELASTIC SCATTERING; *OXYGEN 16 TARGET- PROTON REACTIONS; *OXYGEN 16- PROTON REACTIONS; *PROTON REACTIONS- ELASTIC SCATTERING; ANGULAR DISTRIBUTION; DIFFERENTIAL CROSS SECTIONS; FAST NEUTRONS; GENERATOR- COORDINATE METHOD; MEV RANGE 01-10; MEV RANGE 10-100; NUCLEON REACTIONS; PHASE SHIFT; POLARIZATION; RESONATING-GROUP METHOD; WAVE FUNCTIONS

Citation Formats

Thompson, D R, and Tang, Y C. Resonating-group study of N + $sup 16$O scattering with a generator- coordinate technique. United States: N. p., 1975. Web.
Thompson, D R, & Tang, Y C. Resonating-group study of N + $sup 16$O scattering with a generator- coordinate technique. United States.
Thompson, D R, and Tang, Y C. Sat . "Resonating-group study of N + $sup 16$O scattering with a generator- coordinate technique". United States.
@article{osti_4134894,
title = {Resonating-group study of N + $sup 16$O scattering with a generator- coordinate technique},
author = {Thompson, D R and Tang, Y C},
abstractNote = {The scattering of nucleons by $sup 16$O is studied with the resonating- group method. The $sup 16$O wave function used is a translationally invariant antisymmetrized product of single-particle wave functions of (1s)$sup 4$(1p)$sup 12$ configuration in a harmonic-oscillator well having an appropriately chosen width parameter. A generator-coordinate technique is employed to facilitate the computation of the nonlocal interaction between the nucleon and the $sup 16$O nucleus. This technique is discussed in some detail in order to demonstrate its utility in a nuclear problem involving a relatively large number of nucleons. Calculated results are compared with experimental data over a wide range of energies, and it is found that the agreement is in general quite satisfactory. Also, the result shows that in this particular problem the heavy-particle pickup process, which is properly taken into consideration by the use of a totally antisymmetric wave function, has a relatively small contribution. (AIP)},
doi = {},
journal = {Phys. Rev., C, v. 12, no. 5, pp. 1432-1446},
number = ,
volume = ,
place = {United States},
year = {1975},
month = {11}
}