Thomas-BMT equation generalized to electric dipole moments and field gradients

Abstract

An expression is presented for the relativistic equations of motion, including field gradients, of a particle and its spin with electric and magnetic dipole moments aligned along the spin axis. An electromagnetic duality transformation is used to generalize a Thomas-BMT equation with gradient terms. Corrections to particle dynamics in storage rings for precision $(g-2)$ and electric dipole moment measurements are calculated, and applications to precision particle tracking programs are considered.

arXiv comment4 pages

References in corpus (5)

• A new method of measuring electric dipole moments in storage rings
• A Storage Ring Experiment to Detect a Proton Electric Dipole Moment
• Feasibility of search for nuclear electric dipole moments at ion storage rings
• Analytical Benchmarks for Precision Particle Tracking in Electric and Magnetic Rings
• Potential for measurement of the tensor electric and magnetic polarizabilities of the deuteron in storage-ring experiments with polarized beams

Cited by in corpus (1)

• Pseudoscalar corrections to spin motion equation, search for electric dipole moment and muon magnetic (g-2) factor