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Wave-packet continuum discretization method for solving the three-body scattering problemстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
- Авторы: Kukulin V.I., Pomerantsev V.N., Rubtsova O.A.
- Журнал: Theoretical and Mathematical Physics
- Том: 150
- Номер: 3
- Год издания: 2007
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 403
- Последняя страница: 424
- DOI: 10.1007/s11232-007-0030-3
- Аннотация: We generalize the wave-packet continuum discretization method previously developed for the scattering problem to the three-body system. For each asymptotic channel, we. construct a basis of three-body wave packets given by square-integrable functions. We show that the projections of the channel resolvents on the subspace of three-body wave packets are determined by diagonal matrices, whose eigenvalues we find explicitly. We express the amplitudes of 2 -> 2 processes explicitly in terms of "wave-packet" finite-dimensional projections of the full resolvent. To illustrate our formalism, we. calculate the differential cross section of elastic deuteron scattering on a heavy nucleus above the three-body breakup threshold and the s-wave quartet (n-d)-scattering amplitude. The results of the calculations agree well with the results obtained by other methods. In terms of complexity, the proposed scheme for solving the three-body scattering problem is comparable to solving a, similar problem for bound states.
- Добавил в систему: Рубцова Ольга Андреевна
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