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arXiv · 1704.00228

Excited states of the Wick-Cutkosky model with the Nakanishi representation in the Light-Front framework

R. Pimentel·W. de Paula
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Abstract

The Wick-Cutkosky model is investigated using the framework of the Nakanishi Perturbative Integral Representation projected in the Light-Front hyperplane for an s-wave amplitude. We developed a new technique based on sucessive integration by parts of the Nakanishi Representation which enabled us to transform one of the integrations into a sum. With a set of boundary conditions it was possible to guess the format of the solution, which was in fact a distribution. The eigenequations obtained were the same as the originals of Cutkosky \cite{CutPR54}. Finally, a numerical check confirmed that the final equation reproduce the same eigenvalues as the initial Bethe-Salpeter equation.

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R. Pimentel, W. de Paula. 2017-04-01. Excited states of the Wick-Cutkosky model with the Nakanishi representation in the Light-Front framework. https://doi.org/10.1007/s00601-016-1097-x

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