Two-dimensional model of interaction of a non-relativistic particle with scalar mesons in the strong coupling limit
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916514234368000 |
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| author | Shurgaia, A. |
| author_facet | Shurgaia, A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_06046 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two-dimensional model of interaction of a non-relativistic particle with scalar mesons in the strong coupling limit Shurgaia, A. High Energy Physics - Theory 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. |
| title | Two-dimensional model of interaction of a non-relativistic particle with scalar mesons in the strong coupling limit |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.06046 |