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

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 wavefunction. 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 definitio as it is frequently expressed in 2nd Quantisation language and suggest 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.

9 pages

References in corpus (2)

• Optical potential from first principles
• ${}^4\mathrm{He}$+$n$+$n$ continuum within an ab initio framework

Cited by in corpus (6)

• Optical potentials for the rare-isotope beam era
• Ab initio translationally invariant nucleon-nucleus optical potentials
• Antisymmetrized, translationally invariant theory of the nucleon optical potential
• Three-body model of the d+A system in an antisymmetrised, translationally invariant many nucleon theory
• Optical potentials, retarded Green's functions and nonorthogonality
• Coupled-cluster computations of optical potential for medium-mass nuclei