Semi-Relativistic Two-Body States of Spinless Particles with a Scalar-Type Interaction Potential

@article{Thylwe2018SemiRelativisticTS,
  title={Semi-Relativistic Two-Body States of Spinless Particles with a Scalar-Type Interaction Potential},
  author={Karl-Erik Thylwe},
  journal={Communications in Theoretical Physics},
  year={2018},
  volume={69},
  pages={127-130}
}
  • K. Thylwe
  • Published 1 February 2018
  • Physics
  • Communications in Theoretical Physics
A semi-relativistic quantum approximation for mutual scalar interaction potentials is outlined and discussed. Equations are consistent with two-body Dirac equations for bound states of zero total a ... 
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SHOWING 1-10 OF 24 REFERENCES
Two-body Dirac equation and Regge trajectories.
The spin-triplet spectra of light and heavy neutral mesons are studied in the framework of a free two-body Dirac equation supplemented by a linear scalar confinement interaction. The theoretical…
Two‐body Dirac equation with diagonal central potentials
Solutions of the two‐body Dirac equation with diagonal central potentials are investigated, both for particle–particle and particle–antiparticle cases. A detailed study of the symmetry properties of…
Two-Body Scattering in (1 + 1) Dimensions by a Semi-relativistic Formalism and a Hulthén Interaction Potential
Scattering solutions of two-body Spinless Salpeter Equation (SSE) are investigated in the center of mass frame with a repulsive, symmetric Hulthen potential in one spatial dimension. Transmission and…
Two-body Dirac equation with a scalar linear potential.
  • Ferreira
  • Physics
    Physical review. D, Particles and fields
  • 1988
A semirelativistic equation which describes the relative motion of a Dirac particle and its antiparticle, interacting through a scalar potential, linearly dependent on the relative distance, is…
A Relativistic equation for bound state problems
The relativistic $S$-matrix formalism of Feynman is applied to the bound-state problem for two interacting Fermi-Dirac particles. The bound state is described by a wave function depending on separate…
The theory of atomic collisions
Semi-Relativistic Reflection and Transmission Coefficients for Two Spinless Particles Separated by a Rectangular-Shaped Potential Barrier
A generalized Schrodinger approximation, due to Ikhdair & Sever, of the semi-relativistic two-body problem with a rectangular barrier in (1+1) dimensions is compared with exact computations. Exact…
The relativistic many-body problem and application to bottomonium
It is well known that the analysis of a relativistic n-body problem invariant under the transformations of the Poincar? group and involving only one time has only been done for n = 1. For n > 1 one…
BOUND-STATES OF A SEMI-RELATIVISTIC EQUATION FOR THE ${\cal PT}$-SYMMETRIC GENERALIZED HULTHÉN POTENTIAL BY THE NIKIFOROV–UVAROV METHOD
The one-dimensional semi-relativistic equation has been solved for the ${\cal PT}$-symmetric generalized Hulthen potential. The Nikiforov–Uvarov (NU) method which is based on solving the second-order…
On the Difficulty in the Non-Relativistic Treatment of the Composite Model of Elementary Particles
In order to see the validity of the non-relativistic treatment used in the current works on the composite model of elementary particles, the system of a Dirac· particle and an anti-particle bound in…
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