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Method of Extending the Blankenbecler-Sugar-Logunov-Tavkhelidze Approximation to the Bethe-Salpeter Equation
Phys. Rev. D 3, 505 – Published 15 January, 1971
DOI: https://doi.org/10.1103/PhysRevD.3.505
Abstract
We propose a systematic method of obtaining accurate solutions to the Bethe-Salpeter (BS) equation, starting with the Blankenbecler-Sugar-Logunov-Tavkhelidze (BSLT) equation as the lowest-order approximation. For the equal-mass scattering problem, where the difference between the BS and the BSLT amplitudes is the most marked, the first-order correction we evaluate gives good agreement with the BS amplitude. We have also applied the method to the unequal-mass scattering problem, when the mass ratio is the pion-nucleon mass ratio. Here we find that the BSLT amplitude itself is a good approximation to the BS amplitude.
References (6)
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Omitted endnote
- G. C. Wick, Phys. Rev. 96, 1124 (1954)