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arXiv · 2412.06046

Two-dimensional model of interaction of a non-relativistic particle with scalar mesons in the strong coupling limit

A. Shurgaia
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Abstract

Bogolyubov transformations are introduced into the nonrelativistic model of particle interaction with scalar mesons. Within the framework of the generalized Hamiltonian formalism developed by Dirac, a translation-invariant perturbation theory in inverse powers of the coupling constant is constructed. Transmission and reflection coefficients are obtained, the S-matrix is written in a holomorphic representation, and the matrix element is calculated.

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A. Shurgaia. 2024-12-08. Two-dimensional model of interaction of a non-relativistic particle with scalar mesons in the strong coupling limit. https://arxiv.org/abs/2412.06046

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