Minkowski's lost legacy and hadron electromagnetism

Abstract

We revisit Minkowski's lost legacy on relativistic electromagnetism in order to resolve long-standing puzzles over the charge distribution of relativistic systems like hadrons. Hadrons are unique relativistic electromagnetic systems characterized by their comparable size and Compton wavelength $r_h\sim {\lambda }_C$. As such, it was recently realized that the traditional Sachs definition of the charge distribution based on a non-relativistic formula is invalid. We explain that this is the same problem pursued by Lorentz, Einstein and others, on the electromagnetism of a moving body. We show how various charge distributions proposed in hadronic physics naturally emerge as the multipole moment densities in the macroscopic theory of relativistic electromagnetism.

7 pages, 2 figures; published on Physics Letters B

References in corpus (9)

• Nucleon Electromagnetic Form Factors
• Defining the Proton Radius: a Unified Treatment
• The mass radius of the proton
• Forces within hadrons on the light front
• Charge Distributions of Moving Nucleons
• Generalized Parton Distributions and Description of Electromagnetic and Graviton form factors of nucleon
• Ambiguities in the definition of local spatial densities in light hadrons
• Unified formalism for electromagnetic and gravitational probes: densities
• Unsharp Localization and Causality in Relativistic Quantum Theory

Cited by in corpus (9)

• Nucleon relativistic polarization and magnetization distributions
• Quantum stresses in the hydrogen atom
• Stress out of charmonia
• Light front synchronization and rest frame densities of the proton: Electromagnetic densities
• Mechanical form factors and densities of non-relativistic fermions
• Gravitational form factors of pions, kaons and nucleons from dispersion relations
• Dissecting a strongly coupled scalar nucleon
• Covariant analysis of electromagnetic current on the light cone: exposition with scalar Yukawa theory
• Quantum stress and torsion distributions in the deuteron