Three-body model of the d+A system in an antisymmetrised, translationally invariant many nucleon theory

TL;DR

This paper develops a three-body model for the A(d,p)B reaction within a many-nucleon framework, introducing a new nucleon optical potential definition that clarifies boundary conditions and connects to reaction theory.

Contribution

It presents a novel definition of the nucleon optical potential within an antisymmetrised, translationally invariant many-body formalism, linking three-body models to optical potentials.

Findings

New nucleon optical potential definition simplifies boundary condition analysis.

Provides a many-body basis for three-body force effects in reactions.

Connects three-body models with optical potential theory.

Abstract

This paper concerns the theory of direct A(d,p)B reactions and how practical 3-body models of them are related to optical model potentials describing the interaction of the deuteron's constituents and the target A. A new definition of the nucleon optical potential is introduced which necessitates a careful examination of the boundary conditions involved in the associate coupled channels problem. The new definition turns out to be convenient for making a connection with the theory of the (d,p) reaction. The analysis is carried out within an antisymmetrised, translationally invariant formalism and provides a firm basis from a many-body point of view for the three-body force effects calculated in previous work by Dinmore, Timofeyk, Al-Khalili and Johnson.