Confinement of spin-0 and spin-1/2 particles in a mixed vector-scalar coupling with unequal shapes for the potentials

Abstract

The Klein-Gordon and the Dirac equations with vector and scalar potentials are investigated under a more general condition, $V_v=V_s+const.$ These isospectral problems are solved in a case of squared trigonometric potential functions and bound states for either particles or antiparticles are found. The eigenvalues and eigenfuntions are discussed in some detail. It is revealed that a spin-0 particle is better localized than a spin-1/2 particle when they have the same mass and are subject to the same potentials.

9 pages, 3 figures

References in corpus (1)

• Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: the case of the relativistic harmonic oscillator

Cited by in corpus (2)

• Fermion localization on two-field thick branes
• Bound states of bosons and fermions in a mixed vector-scalar coupling with unequal shapes for the potentials