Quantum-mechanical description of spin-1 particles with electric dipole moments

Abstract

The Proca-Corben-Schwinger equations for a spin-1 particle with an anomalous magnetic moment are added by a term describing an electric dipole moment, then they are reduced to a Hamiltonian form, and finally they are brought to the Foldy-Wouthuysen representation. Relativistic equations of motion are derived. The needed agreement between quantum-mechanical and classical relativistic equations of motion is proved. The scalar and tensor electric and magnetic polarizabilities of pointlike spin-1 particles (W bosons) are calculated for the first time.

arXiv comment10 pages

References in corpus (14)

• Foldy-Wouthyusen Transformation and Semiclassical Limit for Relativistic Particles in Strong External Fields
• Foldy-Wouthuysen transformation for relativistic particles in external fields
• Equations of Motion of Spinning Relativistic Particle in External Fields
• All electromagnetic form factors
• Theoretical Expectations for the Muon's Electric Dipole Moment
• A New Method For A Sensitive Deuteron EDM Experiment
• The Polarizability of the Deuteron
• Classical Limit of Relativistic Quantum Mechanical Equations in the Foldy-Wouthuysen Representation
• Sum Rules and Spin-Dependent Polarizabilities of the Deuteron in Effective Field Theory
• Deuteron Dipole Polarizabilities and Sum Rules
• Tensor electric polarizability of the deuteron in storage-ring experiments
• Potential for measurement of the tensor polarizabilities of nuclei in storage rings by the frozen spin method
• Polarization of spin-1 particles without an anomalous magnetic moment in a uniform magnetic field
• Potential for measurement of the tensor electric and magnetic polarizabilities of the deuteron in storage-ring experiments with polarized beams

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• Exact form of the exponential Foldy-Wouthuysen transformation operator for an arbitrary-spin particle
• Energy expectation values of a particle in nonstationary fields
• High-precision description and new properties of a spin-1 particle in a magnetic field
• Relativistic quantum-mechanical description of twisted paraxial electron and photon beams
• Electric quadrupole moment and the tensor magnetic polarizability of twisted electrons and a potential for their measurements
• Comparison of Spin Dynamics in the Cylindrical and Frenet-Serret Coordinate Systems
• Relativistic quantum mechanics of a Proca particle in Riemannian spacetimes
• Correspondence between classical and Dirac-Pauli spinors in view of the Foldy-Wouthuysen transformation
• Comparative aspects of spin-dependent interaction potentials for spin-1/2 and spin-1 matter fields
• Composite Vector Particles in External Electromagnetic Fields
• Bouncing Dirac particles: compatibility between MIT boundary conditions and Thomas precession
• Effective electric and magnetic polarizabilities of pointlike spin-1/2 particles
• General form of the covariant field equations of arbitrary spin and the relativistic canonical quantum mechanics
• Corrections for a constant radial magnetic field in the g-2 and electric-dipole-moment experiments with muons in storage rings
• Fresh Look at Polarized Deuterons at the Nuclotron/NICA \& HIAF and Beyond
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