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

• URL: http://arxiv.org/abs/2404.11687v1
• Date: Wed, 17 Apr 2024 18:39:24 GMT
• Title: On the electromagnetic interaction and the anomalous term in the Duffin-Kemmer-Petiau theory
• Abstract summary: We solve the problem of vectorial mesons embedded in an electromagnetic field via Duffin-Kemmer-Petiau formalism. Considering the electromagnetic interaction as a minimal coupling, an incorrect value $(g=1)$ is identified for the gyromagnetic factor.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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