Scattering and bound states of fermions in a mixed vector-scalar smooth step potential

Abstract

The scattering of a fermion in the background of a smooth step potential is considered with a general mixing of vector and scalar Lorentz structures with the scalar coupling stronger than or equal to the vector coupling. Charge-conjugation and chiral-conjugation transformations are discussed and it is shown that a finite set of intrinsically relativistic bound-state solutions appears as poles of the transmission amplitude. It is also shown that those bound solutions disappear asymptotically as one approaches the conditions for the realization of the so-called spin and pseudospin symmetries in a four-dimensional space-time.

arXiv comment5 figures. arXiv admin note: substantial text overlap with arXiv:1310.8473

References in corpus (52)

• Pseudo-spin as a Relativistic Symmetry
• Spin symmetry in the anti-nucleon spectrum
• Pseudospin symmetry and the relativistic harmonic oscillator
• Relativistic Symmetry Suppresses Quark Spin-Orbit Splitting
• On the Relativistic Foundations of Pseudospin Symmetry in Nuclei
• A Relativistic Symmetry in Nuclei
• Pseudospin symmetry and its approximation in real nuclei
• Tensor coupling and pseudospin symmetry in nuclei
• Pseudospin symmetry in single particle resonant states
• The Isospin Asymmetry in the Pseudo-spin Dynamical Symmetry
• Pseudospin symmetry as a relativistic dynamical symmetry in the nucleus
• Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: the case of the relativistic harmonic oscillator
• Effect of tensor couplings in a relativistic Hartree approach for finite nuclei
• Bound state solutions of the Dirac-Rosen-Morse potential with spin and pseudospin symmetry
• Relativistic Mean Field Approach and the Pseudo-Spin Symmetry
• Approximate solutions of the Dirac equation for the Rosen-Morse potential including the spin-orbit centrifugal term
• Perturbative interpretation of relativistic symmetries in nuclei
• Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations
• Exploration of relativistic symmetry by the similarity renormalization group
• Test of Nuclear Wave Functions for Pseudospin Symmetry
• Spin symmetry in Dirac negative energy spectrum in density-dependent relativistic Hartree-Fock theory
• Spin and pseudospin symmetries in the antinucleon spectrum of nuclei
• Dirac equation exact solutions for generalized asymmetrical Hartmann potentials
• Spin and pseudospin symmetries and the equivalent spectra of relativistic spin-1/2 and spin-0 particles
• Effect of Tensor Interaction in the Dirac-Attractive Radial Problem under Pseudospin Symmetry limit
• Spin and pseudospin symmetries of the Dirac equation with confining central potentials
• Spin and Pseudospin symmetries in the Dirac equation with central Coulomb potentials
• Spin Symmetry for Anti-Lambda Spectrum in atomic nucleus
• Relating pseudospin and spin symmetries through chiral transformation with tensor interaction
• Relativistic effect of spin and pseudospin symmetries
• Trapping neutral fermions with kink-like potentials
• Exact closed-form solutions of the Dirac equation with a scalar exponential potential
• Confinement of fermions by mixed vector-scalar linear potentials in two-dimensional space-time
• Relativistic new Yukawa-like potential and tensor coupling
• Relativistic Effects of Mixed Vector-Scalar-Pseudoscalar Potentials for Fermions in 1+1 Dimensions
• Approximate bound states of the Dirac equation with some physical quantum potentials
• Dynamical symmetry of Dirac hydrogen atom with spin symmetry and its connection with Ginocchio's oscillator
• Tensor coupling effects on spin symmetry in anti-Lambda spectrum of hypernuclei
• Bounded solutions of fermions in the background of mixed vector-scalar Pöschl-Teller-like potentials
• Bounded solutions of fermions in the background of mixed vector-scalar inversely linear potentials
• Pseudospin symmetry and structure of nuclei with $Z\ge$ 100
• Scattering and bound states of spinless particles in a mixed vector-scalar smooth step potential
• Confinement of spin-0 and spin-1/2 particles in a mixed vector-scalar coupling with unequal shapes for the potentials
• Approximate analytical solutions of Dirac Equation with spin and pseudo spin symmetries for the diatomic molecular potentials plus a tensor term with any angular momentum
• Bound states of bosons and fermions in a mixed vector-scalar coupling with unequal shapes for the potentials
• Quasi-exact Treatment of the Relativistic Generalized Isotonic Oscillator
• Missing solution in a Cornell potential
• Effects of a mixed vector-scalar kink-like potential for spinless particles in two-dimensional spacetime
• Stationary states of fermions in a sign potential with a mixed vector-scalar coupling
• Unified Treatment of Mixed Vector-Scalar Screened Coulomb Potentials for Fermions
• Relativistic study of the energy-dependent Coulomb potential including Coulomb-like tensor interaction
• Approximate Analytical Solutions of the Pseudospin Symmetric Dirac Equation for Exponential-type Potentials

Cited by in corpus (5)

• Quantum dynamics of a spin-1/2 charged particle in the presence of magnetic field with scalar and vector couplings
• Plane density of induced vacuum charge in a supercritical Coulomb potential
• Fermions in the background of mixed vector-scalar-pseudoscalar square potentials
• On the Klein's paradox in the presence of a scalar potential
• Fermions embedded in a scalar-vector kink-like smooth potential