Singular Core Interactions and Three-Body Theory
Author(s) -
D. D. Brayshaw
Publication year - 1971
Publication title -
physical review letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.688
H-Index - 673
eISSN - 1079-7114
pISSN - 0031-9007
DOI - 10.1103/physrevlett.26.659
Subject(s) - formalism (music) , boundary value problem , core (optical fiber) , physics , integral equation , mathematical analysis , mathematics , art , musical , optics , visual arts
It is shown that the Faddeev formalism must and can be modified when the short-range two-body behavior is specified by a hard core or boundary-condition model. A new integral equation is formulated for this purpose which, in the special case of boundary-condition model or hard core alone, reduces to an equation in a single vector variable. This feature provides an apparently unique example of a nonseparable interaction for which the three-body equations can be solved exactly.
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