Adiabatic representation for atomic dimers and trimers in collinear configuration
Семинары
Семинар «Малочастичные системы»
Дата и время: вторник, 27 ноября 2018 г., в 11:00
Место: Конференц-зал им. Блохинцева (4-й этаж), Лаборатория теоретической физики им. Н.Н. Боголюбова
Тема семинара: «Adiabatic representation for atomic dimers and trimers in collinear configuration»
Авторы: С.И. Виницкийa, А.А. Гусевb, П.М. Крассовицкийac, О. Чулуунбаатарb
a — Лаборатория теоретической физики им. Н.Н. Боголюбова, ОИЯИ
b — Лаборатория информационных технологий, ОИЯИ
c — Институт ядерной физики, Алматы, Казахстан
Докладчик: С.И. Виницкий
Аннотация:
We consider collinear models for a trimer of identical atoms with molecular pairwise interactions and for an atomic dimer scattered by an atom or tunneling through potential barriers. The models are formulated as 2D boundary-value problems in the Jacobi and polar coordinates. In the adiabatic representation the problems are reduced to a system of second-order ordinary differential equations (SODEs) with respect to the radial variable using the expansion of the desired solutions in the set of angular basis functions that depend on the radial variable as a parameter. The asymptotic expansions of the parametric basis functions, effective potentials, fundamental solutions of the systems of SODEs and corresponding asymptotic scattering states were calculated by the elaborated algorithms implemented in Maple. The efficiency of the elaborated method, algorithms and programs is demonstrated by benchmark calculations the resonance scattering, metastable and bound states.