Adiabatic Representation for Atomic Dimers and Trimers in Collinear Configuration
- Авторлар: Góźdź A.1, Derbov V.L.2, Krassovitskiy P.M.3, Gusev A.A.4, Vinitsky S.I.4,5, Chuluunbaatar O.4,6
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Мекемелер:
- Institute of Physics, University of M. Curie-Skłodowska
- Saratov State University
- Institute of Nuclear Physics
- Joint Institute for Nuclear Research
- Peoples’ Friendship University of Russia (RUDN University)
- National University of Mongolia
- Шығарылым: Том 81, № 6 (2018)
- Беттер: 945-970
- Бөлім: Elementary Particles and Fields
- URL: https://journals.rcsi.science/1063-7788/article/view/194429
- DOI: https://doi.org/10.1134/S1063778818060169
- ID: 194429
Дәйексөз келтіру
Аннотация
We considered collinear models for a trimer of identical atoms with molecular pair 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 efficiency of the elaborated method, algorithms and programs is demonstrated by benchmark calculations of the asymptotic expansions of basis functions, effective potentials, fundamental solutions of the SODEs, and corresponding asymptotic scattering states, as well as the resonance scattering, metastable and bound states.
Авторлар туралы
A. Góźdź
Institute of Physics, University of M. Curie-Skłodowska
Email: gooseff@jinr.ru
Польша, Lublin
V. Derbov
Saratov State University
Email: gooseff@jinr.ru
Ресей, Saratov
P. Krassovitskiy
Institute of Nuclear Physics
Email: gooseff@jinr.ru
Қазақстан, Almaty
A. Gusev
Joint Institute for Nuclear Research
Хат алмасуға жауапты Автор.
Email: gooseff@jinr.ru
Ресей, Dubna, 141980
S. Vinitsky
Joint Institute for Nuclear Research; Peoples’ Friendship University of Russia (RUDN University)
Email: gooseff@jinr.ru
Ресей, Dubna, 141980; Moscow, 117198
O. Chuluunbaatar
Joint Institute for Nuclear Research; National University of Mongolia
Email: gooseff@jinr.ru
Ресей, Dubna, 141980; Ulaanbaatar
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