Effects due to a scalar coupling on the particle-antiparticle production in the Duffin-Kemmer-Petiau theory

Abstract

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.

References in corpus (1)

• Inconsistencies of a purported probability current in the Duffin-Kemmer-Petiau theory

Cited by in corpus (7)

• On the nonminimal vector coupling in the Duffin-Kemmer-Petiau theory and the confinement of massive bosons by a linear potential
• Remarks on the spin-one Duffin-Kemmer-Petiau equation in the presence of nonminimal vector interactions in (3+1) dimensions
• Approximate solution of the Duffin-Kemmer-Petiau equation for a vector Yukawa potential with arbitrary total angular momenta
• Cosmic acceleration and phantom crossing in $f(T)$-gravity
• The superradiance phenomenon in spin-one particles
• Quasi-exactly-solvable confining solutions for spin-1 and spin-0 bosons in (1+1)-dimensions with a scalar linear potential
• Duffin-Kemmer-Petiau particle in a vector exponential-like decaying field with any arbitrary -state