Comparative aspects of spin-dependent interaction potentials for spin-1/2 and spin-1 matter fields

Abstract

This paper sets out to establish a comparative study between classes of spin- and velocity-dependent potentials for spin-1/2 and spin-1 matter currents/sources in the non-relativistic regime. Both (neutral massive) scalar and vector particles are considered to mediate the interactions between (pseudo-)scalar sources or (pseudo-)vector currents. Though our discussion is more general, we contemplate specific cases in which our results may describe the electromagnetic interaction with a massive (Proca-type) photon exchanged between two spin-1/2 or two spin-1 carriers. We highlight the similarities and peculiarities of the potentials for the two different types of charged matter and also focus our attention on the comparison between the particular aspects of two different field representations for spin-1 matter particles. We believe that our results may contribute to a further discussion of the relation between charge, spin and extensibility of elementary particles.

In this version (v5), a Corrigendum has been added after the published paper

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• Big-Bang Nucleosynthesis
• Spin-Dependent Macroscopic Forces from New Particle Exchange
• Observation of Spin-Dependent Charge Symmetry Breaking in $\Lambda N$ Interaction: Gamma-Ray Spectroscopy of ${}_{\Lambda }^4$He
• Graviton-Photon Scattering
• Spin Effects in Long Range Gravitational Scattering
• Quantum-mechanical description of spin-1 particles with electric dipole moments
• Concepts of Electroweak Symmetry Breaking and Higgs Physics
• Comparative aspects of spin-dependent interaction potentials for spin-1/2 and spin-1 matter fields
• Electromagnetic multipole moments of elementary spin-1/2, 1, and 3/2 particles
• Bekenstein bounds and inequalities between size, charge, angular momentum and energy for bodies
• Polarization of spin-1 particles without an anomalous magnetic moment in a uniform magnetic field
• Analysis of wave equations for spin-1 particles interacting with an electromagnetic field

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• Constraints on Spin-Spin-Velocity-Dependent Interaction
• New Experimental Limits on Exotic Spin- and Velocity-dependent Interactions Using Rotationally Modulated Source-masses and an Atomic-magnetometer Array
• Pseudovector and pseudoscalar spin-dependent interactions in atoms
• Calculations of the dominant long-range, spin-independent contributions to the interaction energy between two nonrelativistic Dirac fermions from double-boson exchange of spin-0 and spin-1 bosons with spin-dependent couplings
• Comparative aspects of spin-dependent interaction potentials for spin-1/2 and spin-1 matter fields
• Searching for Exotic Spin-Dependent Interactions Using Rotationally Modulated Source Masses and an Atomic Magnetometer Array
• Experimental signatures of Kalb-Ramond-like particles
• Fermion inter-particle potentials in 5D and a dimensional restriction prescription to 4D
• Physical Properties of the Spin Hamiltonian on Honeycomb Lattice Samples with Kekulé and Vacuum Polarization Corrections