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On the definition of the nucleon axial charge density

J. Yu. Panteleeva, E. Epelbaum, J. Gegelia, U. -G. Meißner

Abstract

We work out the spatial density distributions corresponding to the axial-vector charge density operator for spin-1/2 systems using states described by sharply localized wave packets in arbitrary Lorentz-frames. The static approximation, leading to the frequently assumed Breit-frame distributions, is also considered. We discuss the interpretation of the resulting spatial densities in terms of the axial charge density.

On the definition of the nucleon axial charge density

Abstract

We work out the spatial density distributions corresponding to the axial-vector charge density operator for spin-1/2 systems using states described by sharply localized wave packets in arbitrary Lorentz-frames. The static approximation, leading to the frequently assumed Breit-frame distributions, is also considered. We discuss the interpretation of the resulting spatial densities in terms of the axial charge density.

Paper Structure

This paper contains 4 sections, 28 equations.

Table of Contents

  1. Introduction and summary
  2. Spatial distributions in the ZAMF
  3. Spatial distributions in moving frames
  4. Interpretation in terms of the axial charge density and discussion