Solving Bethe–Salpeter Equation for Scattering States

  title={Solving Bethe–Salpeter Equation for Scattering States},
  author={V. A. Karmanov and Jaume Carbonell},
  journal={Few-Body Systems},
We present the Minkowski space solutions of the inhomogeneous Bethe–Salpeter equation for spinless particles with a ladder kernel. The off-mass shell scattering amplitude is first obtained. 
Scattering states in Bethe-Salpeter equation
The off-mass shell scattering amplitude, satisfying the Bethe-Salpeter equation for spinless particles in Minkowski space with the ladder kernel, is computed for the first time.
Transition Electromagnetic Form Factor in the Minkowski Space Bethe–Salpeter Approach
Using the solutions of the Bethe–Salpeter equation in Minkowski space for bound and scattering states found in previous works, we calculate the transition electromagnetic form factor describing the
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Recently developed methods allowing to find the solutions of the Bethe–Salpeter equations in Minkowski space, both for the bound and scattering states, are reviewed. For the bound states, one obtains
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After a brief discussion of the meaning of the potential in quantum mechanics, we shall examine the results of the Yukawa model (scalar meson exchange) for the nucleon-nucleon interaction in three


Solving Bethe-Salpeter equation in Minkowski space
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The Nakanishi perturbative integral representation of the four-dimensional T-matrix is investigated in order to get a workable treatment for scattering states, solutions of the inhomogeneous
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Covariant Relativistic Separable Kernel Approach for Electrodisintegration of the Deuteron at High Momentum Transfer
The paper considers the electrodisintegration of the deuteron for kinematic conditions of the JLab experiment E-94-019. The calculations have been performed within the covariant Bethe–Salpeter