Abstract

We compare results from the traditional partial wave treatment of deuteron electro-disintegration with a new approach that uses three dimensional formalism. The new framework for the two-nucleon (2N) system using a complete set of isospin - spin states made it possible to construct simple implementations that employ a very general operator form of the current operator and 2N states.

Highlights

  • The theoretical description of electromagnetic processes is based, like most nuclear physics formalisms, on a partial wave decomposition of relevant operators

  • In this paper we fill a gap in the development of 3D framework and present an approach that allows for a simple implementation of 3D electromagnetic currents

  • We examine the case of deuteron disintegration (e +2 H → e + p + n) where the 2N system is treated in the non-relativistic approximation

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Summary

Introduction

The theoretical description of electromagnetic processes is based, like most nuclear physics formalisms, on a partial wave decomposition of relevant operators. This restricts theoretical methods to systems, where a relatively small number of partial waves are important. Formalisms of three-dimensional (3D) description of few-body have systems and processes have been extensively developed. In this paper we fill a gap in the development of 3D framework and present an approach that allows for a simple implementation of 3D electromagnetic currents. Our implementations useful for calculations involving for example muon capture or neutrino induced deuteron disintegration, performed recently still with the use partial wave expansion [2,3,4]

Formalism and Notation
Single Nucleon Currents in Three Dimensions
Explicit Representation of the Spin–Isospin Operators
Results
Conclusions and Outlook
Full Text
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