Scattering and bound states of spinless particles in a mixed vector-scalar smooth step potential
arXiv:0906.0342 · doi:10.1016/j.aop.2009.05.010
Abstract
Scattering and bound states for a spinless particle in the background of a kink-like smooth step potential, added with a scalar uniform background, are considered with a general mixing of vector and scalar Lorentz structures. The problem is mapped into the Schrödinger-like equation with an effective Rosen-Morse potential. It is shown that the scalar uniform background present subtle and trick effects for the scattering states and reveals itself a high-handed element for formation of bound states. In that process, it is shown that the problem of solving a differential equation for the eigenenergies is transmuted into the simpler and more efficient problem of solving an irrational algebraic equation.
References in corpus (14)
- Pseudo-spin as a Relativistic Symmetry
- Pseudospin symmetry and the relativistic harmonic oscillator
- On the Relativistic Foundations of Pseudospin Symmetry in Nuclei
- A Relativistic Symmetry in Nuclei
- Pseudospin symmetry and its approximation in real nuclei
- The Isospin Asymmetry in the Pseudo-spin Dynamical Symmetry
- Pseudospin symmetry as a relativistic dynamical symmetry in the nucleus
- Effect of tensor couplings in a relativistic Hartree approach for finite nuclei
- Spin and pseudospin symmetries and the equivalent spectra of relativistic spin-1/2 and spin-0 particles
- Trapping neutral fermions with kink-like potentials
- Modeling quark-hadron duality for relativistic, confined fermions
- Exact relativistic time evolution for a step potential barrier
- Corrections to the energy levels of a spin-zero particle bound in a strong field
- Klein paradox and antiparticle