On the main term of the asymptotics of the problem of few charged particles in the presence of bound states
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 53, Tome 521 (2023), pp. 59-78
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In the present paper, we obtained the results that generalize the BBK-approximation, well known in the physical literature, in a situation where particles in subsystems can approach each other. The results obtained allow one to describe the asymptotics of a few-body Coulomb system ($N=3.4$) in the case when the subsystem is in a state of continuous spectrum, as well as in the case when the subsystem (two or three particles) is in a bound state.
@article{ZNSL_2023_521_a4,
author = {A. M. Budylin and S. B. Levin},
title = {On the main term of the asymptotics of the problem of few charged particles in the presence of bound states},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {59--78},
publisher = {mathdoc},
volume = {521},
year = {2023},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2023_521_a4/}
}
TY - JOUR AU - A. M. Budylin AU - S. B. Levin TI - On the main term of the asymptotics of the problem of few charged particles in the presence of bound states JO - Zapiski Nauchnykh Seminarov POMI PY - 2023 SP - 59 EP - 78 VL - 521 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2023_521_a4/ LA - ru ID - ZNSL_2023_521_a4 ER -
%0 Journal Article %A A. M. Budylin %A S. B. Levin %T On the main term of the asymptotics of the problem of few charged particles in the presence of bound states %J Zapiski Nauchnykh Seminarov POMI %D 2023 %P 59-78 %V 521 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_2023_521_a4/ %G ru %F ZNSL_2023_521_a4
A. M. Budylin; S. B. Levin. On the main term of the asymptotics of the problem of few charged particles in the presence of bound states. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 53, Tome 521 (2023), pp. 59-78. http://geodesic.mathdoc.fr/item/ZNSL_2023_521_a4/