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arXiv · 1107.3034

A New Path-Integral Representation of the $T$-Matrix in Potential Scattering

J. Carron·R. Rosenfelder
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Abstract

We employ the method used by Barbashov and collaborators in Quantum Field Theory to derive a path-integral representation of the $T$-matrix in nonrelativistic potential scattering which is free of functional integration over fictitious variables as was necessary before. The resulting expression serves as a starting point for a variational approximation applied to high-energy scattering from a Gaussian potential. Good agreement with exact partial-wave calculations is found even at large scattering angles. A novel path-integral representation of the scattering length is obtained in the low-energy limit.

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J. Carron, R. Rosenfelder. 2011-07-15. A New Path-Integral Representation of the $T$-Matrix in Potential Scattering. https://doi.org/10.1016/j.physleta.2011.09.007

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