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

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

2011-07-15

arxiv.org/abs/1107.3034v2

Phys. Lett. A 375 (2011) 3781

Physics

Nuclear Physics

Nuclear Theory

9 pages, 1 figure, Latex with amsmath, amssym; v2: some typos corrected, matches published version

Scientific paper

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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