Bosonic Fields with Two Mass and Spin States

TL;DR

This paper explores bosonic fields representing particles with spin-zero and spin-one states of different masses, providing solutions, interaction analysis, and Hamiltonian formulation for these particles.

Contribution

It introduces a comprehensive framework for describing bosonic particles with multiple spin and mass states, including explicit solutions and interaction effects.

Findings

Derived all linearly independent solutions as projection matrix-dyads.

Analyzed interactions with anomalous magnetic and electric moments.

Investigated the Hamiltonian form of the first order equation.

Abstract

We consider the bosonic fields which describe a particle which may exist in states with spins one and zero with different masses. All the linearly independent solutions of the equation for a free particle are obtained in the form of the projection matrix-dyads (density-matrices). The interaction with anomalous magnetic dipole and quadruple electric moments of a particle is studied. The Hamiltonian form of the first order equation has been investigated.