Topologically massive spin-1 particles and spin-dependent potentials

F. A. Gomes Ferreira,L. P. R. Ospedal,J. A. Helayël-Neto,P. C. Malta

doi:10.1140/epjc/s10052-015-3470-1

F. A. Gomes Ferreira, L. P. R. Ospedal + Show 2 more

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https://doi.org/10.1140/epjc/s10052-015-3470-1

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Abstract

We investigate the role played by particular field representations of an intermediate massive spin-1 boson in the context of spin-dependent interparticle potentials between fermionic sources in the limit of low momentum transfer. The comparison between the well-known case of the Proca field and that of an exchanged spin-1 boson (with gauge-invariant mass) described by a 2-form potential mixed with a 4-vector gauge field is established in order to pursue an analysis of spin- as well as velocity-dependent profiles of the interparticle potentials. We discuss possible applications and derive an upper bound on the product of vector and pseudo-tensor coupling constants.

Highlights

Most macroscopic phenomena originate either from gravitational or electromagnetic interactions
If we work in the center of mass frame (CM), we can assign them momenta as indicated in Fig. 1 below, where q is the momentum transfer and p is the average momemtum of fermion 1 before and after the scattering
The model we are investigating describes an extra Abelian gauge boson, a sort of Z 0, which appears as a neutral massive excitation of a mixed { Aμ, Bνκ }-system of fields

Summary

Introduction

Most macroscopic phenomena originate either from gravitational or electromagnetic interactions. A number of scenarios beyond the Standard Model (BSM) motivated by high-energy phenomena predict very light, weakly interacting sub-eV particles (WISPs) that could generate new long-range forces, such as axions [4], SUSY-motivated particles [5] or paraphotons [6,7,8,9]. The present paper is mainly concerned with this issue and its consequences on the shape of the potential between two fermionic sources. This discussion is of relevance in connection with the study, for example, of the quarkonium spectrum, for which spin-dependent terms in the interaction potential may contribute considerable corrections [10]. Other sources (systems) involving neutral and charged particles, with or without spin, have been considered by Holstein [11]

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