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Title: Pauli blocking effects for nucleon-nucleus scattering

Abstract

Theoretical predictions for nucleon-nucleus scattering are customarily based on multiple-scattering formalisms in which the projectile-nucleon--struck-target-nucleon two-body subsystem is antisymmetrized and in which the target wave function is antisymmetric with respect to the nucleon constituents. Although formalisms exist for nucleon-nucleus scattering which account for full ([ital A]+1)-body antisymmetrization, these theories have not been adequately implemented in numerical applications. Pauli blocking of the struck target nucleon in intermediate scattering states is implicitly included in standard optical potential calculations which consistently include terms through second-order in the projectile-target nucleon scattering [ital t] matrix. In this work the multiple scattering expansion of the fully antisymmetrized nucleon-nucleus optical potential is organized so as to make explicit corrections to the standard optical potential due to Pauli blocking of the projectile nucleon in intermediate scattering states. Numerical calculations are presented for the resulting density dependent, projectile-target nucleon effective interaction and comparison with a previous density dependent model is given. It is shown that density dependent effective interaction [ital t] matrices for nucleon-nucleus scattering calculations should include Pauli blocking of just the projectile nucleon and binding potential corrections for just the target nucleon.

Authors:
 [1]
  1. Department of Physics, The University of Texas at Austin, Austin, Texas 78712 (United States)
Publication Date:
OSTI Identifier:
6611387
Resource Type:
Journal Article
Journal Name:
Physical Review, C (Nuclear Physics); (United States)
Additional Journal Information:
Journal Volume: 47:5; Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; PROTON REACTIONS; PAULI PRINCIPLE; ELASTIC SCATTERING; MANY-BODY PROBLEM; MULTIPLE SCATTERING; NUCLEON-NUCLEON INTERACTIONS; OPTICAL MODELS; POTENTIALS; S MATRIX; SERIES EXPANSION; BARYON REACTIONS; BARYON-BARYON INTERACTIONS; CHARGED-PARTICLE REACTIONS; HADRON REACTIONS; HADRON-HADRON INTERACTIONS; INTERACTIONS; MATRICES; NUCLEAR REACTIONS; NUCLEON REACTIONS; PARTICLE INTERACTIONS; SCATTERING; 663300* - Nuclear Reactions & Scattering, General- (1992-); 663430 - Nucleon-Induced Reactions & Scattering- (1992-)

Citation Formats

Ray, L. Pauli blocking effects for nucleon-nucleus scattering. United States: N. p., 1993. Web. doi:10.1103/PhysRevC.47.2236.
Ray, L. Pauli blocking effects for nucleon-nucleus scattering. United States. doi:10.1103/PhysRevC.47.2236.
Ray, L. Sat . "Pauli blocking effects for nucleon-nucleus scattering". United States. doi:10.1103/PhysRevC.47.2236.
@article{osti_6611387,
title = {Pauli blocking effects for nucleon-nucleus scattering},
author = {Ray, L},
abstractNote = {Theoretical predictions for nucleon-nucleus scattering are customarily based on multiple-scattering formalisms in which the projectile-nucleon--struck-target-nucleon two-body subsystem is antisymmetrized and in which the target wave function is antisymmetric with respect to the nucleon constituents. Although formalisms exist for nucleon-nucleus scattering which account for full ([ital A]+1)-body antisymmetrization, these theories have not been adequately implemented in numerical applications. Pauli blocking of the struck target nucleon in intermediate scattering states is implicitly included in standard optical potential calculations which consistently include terms through second-order in the projectile-target nucleon scattering [ital t] matrix. In this work the multiple scattering expansion of the fully antisymmetrized nucleon-nucleus optical potential is organized so as to make explicit corrections to the standard optical potential due to Pauli blocking of the projectile nucleon in intermediate scattering states. Numerical calculations are presented for the resulting density dependent, projectile-target nucleon effective interaction and comparison with a previous density dependent model is given. It is shown that density dependent effective interaction [ital t] matrices for nucleon-nucleus scattering calculations should include Pauli blocking of just the projectile nucleon and binding potential corrections for just the target nucleon.},
doi = {10.1103/PhysRevC.47.2236},
journal = {Physical Review, C (Nuclear Physics); (United States)},
issn = {0556-2813},
number = ,
volume = 47:5,
place = {United States},
year = {1993},
month = {5}
}