The spin-one DKP oscillator with an extra spin-orbit coupling

We consider a generalization of the Duffin-Kemmer-Petiau oscillator (DKPO) for spin-1 bosons, built by implementing an extra spin-orbit coupling (SOC) into the standard DKPO equation. This model meets the requirements of Lorentz covariance as well as the existence of a conserved four-current, and is found to be exactly solvable for both natural and unnatural parity states and for an arbitrary total angular momentum number. The obtained energy eigenvalues show that the additional SOC brings about radical modifications in the spectroscopy of the DKPO. Notably, the spin-orbit splitting of the energy levels becomes controllably independent from oscillator shells. Moreover, interesting particular cases of the model as well as its non-relativistic limit are discussed.

Automated summary

This paper considers a generalized version of the Duffin-Kemmer-Petiau oscillator (DKPO) model for spin-1 bosons by introducing an additional spin-orbit coupling (SOC). The model satisfies the requirements of Lorentz covariance and a conserved four-current, and provides exact solutions for both natural and unnatural parity states and any total angular momentum number. The obtained energy eigenvalues demonstrate that the additional SOC brings radical modifications to the spectroscopy of the DKPO, particularly making the spin-orbit splitting of energy levels independent from oscillator shells. Furthermore, interesting special cases of the model and its non-relativistic limit are discussed.