Model of electromagnetic interactions with spin-1/2 neutral particles

Stanley A. Bruce*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We address the bound-state dynamics of relativistic spin-1/2 neutral particles (in this paper, Dirac neutrinos) with anomalous magnetic dipole moment in the presence of an electromagnetic (EM) field described by a generalized Dirac–Pauli equation. This equation of motion is derived including appropriate couplings between Lorentz scalar and pseudoscalar fields with the EM field in the Lagrangian of the system. Specifically, we exactly solve the bound-state problem of neutrinos in the presence of a homogeneous magnetic field in cylindrical coordinates. We comment on the relevance of this approach to study Dirac neutrino self-interactions.

Original languageEnglish
Article number2150236
JournalModern Physics Letters A
Volume36
Issue number33
DOIs
StatePublished - 30 Oct 2021

Bibliographical note

Publisher Copyright:
© World Scientific Publishing Company

Keywords

  • Dirac–Pauli equation
  • Neutrino interaction with electromagnetic fields
  • Nonlinear Dirac equation

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