Few-Body Systems

, Volume 39, Issue 1–2, pp 101–122 | Cite as

General Relativistic Bound States of a Fermion and a Scalar Interacting via a Massive Scalar

  • G. B. Mainland
Article
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Abstract.

A complete set of numerical solutions is obtained, in the ladder approximation, to the Bethe-Salpeter equation describing bound states of a spin-\(\frac{1}{2}\) fermion and spin-0 boson with arbitrary masses that interact via the exchange of a massive, spin-0 boson. The equation has been used previously, without solutions actually being calculated, to derive some properties of nucleons by treating the physical nucleon as a bound state of a “bare” nucleon and a “bare” meson. It is likely that most, if not all, two-body, bound-state Bethe-Salpeter equations can be solved in the ladder approximation using the method discussed here.

Keywords

Dimensionless Coupling Hyperspherical Harmonic Dimensionless Energy Ladder Approximation Arbitrary Mass 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  • G. B. Mainland
    • 1
  1. 1.Department of PhysicsThe Ohio State University at NewarkNewarkUSA

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