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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2020 Volume 203, Number 2, Pages 269–279 (Mi tmf9856)

This article is cited in 3 papers

Asymptotic solution of a Coulomb multichannel scattering problem with a nonadiabatic channel coupling

S. L. Yakovlev

Saint Petersburg State University, Saint Petersburg, Russia

Abstract: We develop a well-posed multiparticle Coulomb scattering problem based on asymptotic solutions of a Coulomb multichannel scattering problem constructed in the adiabatic representation. A key feature of the studied problem is that the nonadiabatic channel coupling matrix is nontrivial at large internuclear distances. We consider the scattering problem in the case with an arbitrary momentum value and study solutions for small channel coupling matrix values in detail, constructing explicit representations for the asymptotic solution of the scattering problem.

Keywords: multichannel Coulomb scattering, asymptotic solution of scattering problem, nonadiabatic channel coupling.

PACS: 03.65.Nk

Received: 02.12.2019
Revised: 02.12.2019

DOI: 10.4213/tmf9856


 English version:
Theoretical and Mathematical Physics, 2020, 203:2, 664–672

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© Steklov Math. Inst. of RAS, 2026