Radiation reaction and the acceleration-dependent mass increase of a charged sphere undergoing uniform acceleration

Abstract

Photon emission from a uniformly accelerated charge is among the most mysterious physical phenomena. Theories based on the Lorentz-Abraham-Dirac equation mostly conclude that a uniformly accelerated point charge cannot feel radiation reaction. Such a conclusion suggests that the origin of the photon energy is unclear. In this paper, we determine the self-force of a uniformly accelerated charged sphere using the Lorentz force equation, with an assumption that the sphere is Lorentz-contracted during the acceleration. For large acceleration, the calculated self-force converges to the radiation reaction (given by the Larmor formula) via a new factor ${\gamma }_a$, which describes an acceleration-dependent increase in the effective mass. This increased mass makes it harder to accelerate the particle (compared to a point-charge), which means more energy should be provided to the particle in order to get the expected acceleration. This extra energy can be interpreted as the origin of the photon energy.

arXiv comment9 pages, 1 figure

References in corpus (12)

• Experimental evidence of radiation reaction in the collision of a high-intensity laser pulse with a laser-wakefield accelerated electron beam
• Experimental signatures of the quantum nature of radiation reaction in the field of an ultra-intense laser
• Radiation reaction in electron-beam interactions with high-intensity lasers
• Aspects of electromagnetic radiation reaction in strong fields
• Radiation reaction from QED: lightfront perturbation theory in a plane wave background
• On the self-force in Bopp-Podolsky electrodynamics
• The Compton-Schwarzschild correspondence from extended de Broglie relations
• Radiation reaction on charged particles in three-dimensional motion in classical and quantum electrodynamics
• On Radiation Reaction in Classical Electrodynamics
• The Fields of a Charged Particle in Hyperbolic Motion
• Tracking the radiation reaction energy when charged bodies accelerate
• Self-force of a rigid ideal fluid, and a charged sphere in hyperbolic motion

Cited by in corpus (1)

• Self-force on a charged particle in an external scalar field