Geodesic
Low-energy asymptotics of the~phases of two-dimensional scattering of
Teoretičeskaâ i matematičeskaâ fizika, Tome 207 (2021) no. 1, pp. 72-98

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We study the two-dimensional scattering of a quantum particle in the field of a central long-range potential decaying in the limit of a large distance $r$ as a power-law function $r^{-\beta}$ with $\beta>2$. We find the explicit low-energy asymptotic forms of all partial scattering phases of such a particle.
Keywords: two-dimensional scattering, central long-range potential, low-energy asymptotics. 
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     author = {V. V. Pupyshev},
     title = {Low-energy asymptotics of the~phases of two-dimensional scattering of},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {72--98},
     publisher = {mathdoc},
     volume = {207},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2021_207_1_a4/}
}
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V. V. Pupyshev. Low-energy asymptotics of the~phases of two-dimensional scattering of. Teoretičeskaâ i matematičeskaâ fizika, Tome 207 (2021) no. 1, pp. 72-98. http://geodesic.mathdoc.fr/item/TMF_2021_207_1_a4/