Effects Due to a Scalar Coupling on the Particle-Antiparticle Production in the Duffin-Kemmer-Petiau Theory

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Cardoso, T. R. [UNESP]
Castro, L. B. [UNESP]
de Castro, A. S. [UNESP]

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Springer/plenum Publishers


The Duffin-Kemmer-Petiau formalism with vector and scalar potentials is used to point out a few misconceptions diffused in the literature. It is explicitly shown that the scalar coupling makes the DKP formalism not equivalent to the Klein-Gordon formalism or to the Proca formalism, and that the spin-1 sector of the DKP theory looks formally like the spin-0 sector. With proper boundary conditions, scattering of massive bosons in an arbitrary mixed vector-scalar square step potential is explored in a simple way and effects due to the scalar coupling on the particle-antiparticle production and localization of bosons are analyzed in some detail.



DKP equation, Klein's paradox, Pair production, Localization

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International Journal of Theoretical Physics. New York: Springer/plenum Publishers, v. 49, n. 1, p. 10-17, 2010.