Abstract
In this paper, the problem of scattering 2 → 2(3) of three 1D quantum particles with pair short-range attraction potentials is considered in the framework of the diffraction approach. The solution to the scattering problem is constructed in terms of the solution to the model nonhomogeneous boundary-value problem in a circle of a large radius with radiation conditions on the boundary. Possible physical applications of the constructed model are studied.
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ACKNOWLEDGMENTS
The authors also would like to thank professor G.V. Rosenblum for helpful discussions.
Funding
The authors express gratitude to the Russian Science Foundation for the support in the framework of the project no. 22-11-00046.
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Budylin, A.M., Levin, S.B. Quantum Scattering of the Bound Pair on the Third Particle in One-Dimensional Case. J. Exp. Theor. Phys. 135, 642–646 (2022). https://doi.org/10.1134/S1063776122110152
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DOI: https://doi.org/10.1134/S1063776122110152