Regge Asymptotics of the Scattering Amplitude in Ladder Approximation
R.G. Jafarov (Baku State U.)
TL;DR
This paper develops a method to calculate the scattering amplitude in ladder approximation, deriving the Regge asymptotic form and including corrections for off-shell effects, applicable to fermions and scalar bosons.
Contribution
It introduces a new approach to solve Bethe-Salpeter equations for scattering amplitudes in ladder approximation and derives their Regge asymptotics.
Findings
Derived the imaginary part of the amplitude in Regge form
Calculated corrections due to off-shell effects
Obtained the real part of the scattering amplitude
Abstract
A method of calculation of the scattering amplitude for fermions and scalar bosons with exchanging of a scalar particle in ladder approximation is suggested. The Bethe-Salpeter ladder integral equations system for the imaginary part of the amplitude is costructed and solution in the Regge asymptotical form is found. The corrections to the amplitude due to the exit from mass shell are calculated and the real part of the amplitude is found.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Electromagnetic Scattering and Analysis · Advanced Mathematical Modeling in Engineering