Solving Bethe–Salpeter Equation for Scattering States

@article{Karmanov2013SolvingBE,
  title={Solving Bethe–Salpeter Equation for Scattering States},
  author={V. A. Karmanov and Jaume Carbonell},
  journal={Few-Body Systems},
  year={2013},
  volume={54},
  pages={1509-1512}
}
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
Present Status of the Bethe–Salpeter Approach in Minkowski Space
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
Three Different Approaches to the Same Interaction: The Yukawa Model in Nuclear Physics
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

References

SHOWING 1-7 OF 7 REFERENCES
Solving Bethe-Salpeter equation in Minkowski space
Abstract.We develop a new method of solving the Bethe-Salpeter (BS) equation in Minkowski space. It is based on projecting the BS equation on the light-front (LF) plane and on the Nakanishi integral
Solutions of the Bethe–Salpeter Equation in Minkowski Space and Applications to Electromagnetic Form Factors
We present a new method for solving the two-body Bethe–Salpeter equation in Minkowski space. It is based on the Nakanishi integral representation of the Bethe–Salpeter amplitude and on subsequent
Cross-ladder effects in Bethe-Salpeter and light-front equations
Abstract.The Bethe-Salpeter (BS) equation in Minkowski space for scalar particles is solved for a kernel given by a sum of ladder and cross-ladder exchanges. The solution of corresponding light-front
Two-body scattering states in Minkowski space and the Nakanishi integral representation onto the null plane
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
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
Solution of the Bethe-Salpeter Equation in the Inelastic Region
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