RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2023 Volume 521, Pages 59–78 (Mi znsl7324)

This article is cited in 1 paper

On the main term of the asymptotics of the problem of few charged particles in the presence of bound states

A. M. Budylin, S. B. Levin

Saint Petersburg State University

Abstract: 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.

Key words and phrases: few-body quantum systems, Coulomb pair potentials, bound states in subsystems, continuous spectrum eigenfunctions asymptotics.

UDC: 517.955.8

Received: 01.10.2023



© Steklov Math. Inst. of RAS, 2024