Geodesic
Model of an effective separable potential in the problem of three one-dimensional quantum particles
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 54, Tome 533 (2024), pp. 15-43

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Bagmutov A. S., Levin S. B., Toropov B. O. Model of an effective separable potential in the problem of three one-dimensional quantum particles. In this paper, we construct an effective model for studying the asymptotic solution of the scattering problem of three one-dimensional quantum particles with finite (short-range) attractive pair potentials that support bound states. The asymptotic nature of the solution is determined by the rapid decrease of its residual in the Schr?dinger equation. 
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     title = {Model of an effective separable potential in the problem of three one-dimensional quantum particles},
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     pages = {15--43},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2024_533_a1/}
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A. S. Bagmutov; S. B. Levin; V. O. Toropov. Model of an effective separable potential in the problem of three one-dimensional quantum particles. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 54, Tome 533 (2024), pp. 15-43. http://geodesic.mathdoc.fr/item/ZNSL_2024_533_a1/