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arXiv · 2404.11687

On the electromagnetic interaction and the anomalous term in the Duffin-Kemmer-Petiau theory

Andrés G. Jirón·Luis B. Castro·Antonio S. de Castro·Angel E. Obispo
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Abstract

The problem of vectorial mesons embedded in an electromagnetic field via Duffin-Kemmer-Petiau (DKP) formalism is reinvestigated. Considering the electromagnetic interaction as a minimal coupling, an incorrect value $(g=1)$ is identified for the gyromagnetic factor ($g$-factor). Furthermore, it is shown that is cumbersome to find analytical solutions due to the presence of the so-called anomalous term for the spin-1 sector of the DKP theory. Suspecting that the anomalous term results from an incomplete version of the DKP equation to describe the electromagnetic interaction, we consider the addition of a non-minimal coupling. This leads to the correct $g$-factor $(g=2)$, and as a consequence, the anomalous term becomes proportional to an external four current. As an application, the DKP equation with a static uniform magnetic field is considered, yielding the corresponding Landau levels.

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Andrés G. Jirón, Luis B. Castro, Antonio S. de Castro, Angel E. Obispo. 2024-04-17. On the electromagnetic interaction and the anomalous term in the Duffin-Kemmer-Petiau theory. https://doi.org/10.1209/0295-5075%2Fad3f48

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