On the definition of electromagnetic local spatial densities for composite spin-$1/2$ systems
J.Yu. Panteleeva, E. Epelbaum, J. Gegelia, U.-G. Mei{\ss}ner

TL;DR
This paper proposes a clear definition of electromagnetic spatial densities for spin-1/2 systems, comparing new results with traditional Fourier transform methods in different frames.
Contribution
It introduces an unambiguous way to define electromagnetic densities for spin-1/2 particles across various reference frames.
Findings
New density definitions in zero and moving frames
Comparison with traditional Fourier transform approach
Clarification of electromagnetic density interpretations
Abstract
An unambiguous definition of the electromagnetic spatial densities for a spin-1/2 system is proposed and worked out in the zero average momentum frame and in moving frames. The obtained results are compared with the traditional definition of the densities in terms of the three-dimensional Fourier transforms of the electromagnetic form factors in the Breit frame.
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