Translation invariance and antisymmetry in the theory of the nucleon optical model

R. C. Johnson
Phys. Rev. C 95, 064610 – Published 13 June 2017

Abstract

The first step in any formalism that aims to connect a many-nucleon theory of nucleon-nucleus scattering and the concept of an optical model potential in the sense pioneered by Feshbach is to explain what is meant by the optical model wave function. By definition, this is a function of a single space coordinate plus a set of single-nucleon internal variables. This article gives a critique of the definition as it is frequently expressed in second quantization language and suggests a new definition which is more consistent with the requirements of antisymmetry and translational invariance. A modification of the time-dependent Green's function formalism is suggested.

  • Received 11 April 2017

DOI:https://doi.org/10.1103/PhysRevC.95.064610

©2017 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

R. C. Johnson*

  • Department of Physics, Faculty of Engineering and Physical Sciences, University of Surrey, Guildford, Surrey GU2 7XH, United Kingdom

  • *R.Johnson@surrey.ac.uk

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Issue

Vol. 95, Iss. 6 — June 2017

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