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Unified formalism for electromagnetic and gravitational probes: densities

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arxiv 2108.03301 v1 pith:LMCXTKYT submitted 2021-08-06 hep-ph nucl-th

classification hep-phnucl-th
keywords densitiesfrontlightnon-relativisticabelinverseobtainedspatial
verification ladder T0 review T1 audit T2 compute T3 formal
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The use of light front coordinates allows a fully relativistic description of a hadron's spatial densities to be obtained. These densities must be two-dimensional and transverse to a chosen spatial direction. We explore their relationship to the three-dimensional, non-relativistic densities, with a focus on densities associated with the energy momentum tensor. The two-dimensional non-relativistic densities can be obtained from the light front densities through a non-relativistic limit, and can subsequently be transformed into three-dimensional non-relativistic densities through an inverse Abel transform. However, this operation is not invertible, and moreover the application of the inverse Abel transform to the light front densities does not produce a physically meaningful result. We additionally find that the Abel transforms of so-called Breit-frame densities generally differ significantly from the true light front densities. Numerical examples are provided to illustrate the various differences between the light front, Breit frame, and non-relativistic treatment of densities.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Transverse energy-momentum tensor distributions in polarized nucleons

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  4. On the Impossibility of Obtaining Time-Independent, Three-Dimensional, Spherically-Symmetric Densities of Confined Systems of Relativistically Moving Constituents

    hep-ph 2025-07 conditional novelty 5.0 of 10

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