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arXiv · 2211.09709

Toy model of particle scattering theory

Kyeong Min Kim
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Abstract

The one dimensional probabilistic toy model of particle scattering theory is proposed. The toy model version of scattering probability is proved to be equal to the hypervolume of a n-dimensional figure. The solution for any n-particle toy model is presented as a contour integral, through Mellin trasnformation. The method of solving the contour integral is discussed. A nontrivial symmetry of this toy model, the invariance on initial position of the particles, is observed.

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Kyeong Min Kim. 2022-11-01. Toy model of particle scattering theory. https://arxiv.org/abs/2211.09709

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