Comment on the Exterior-Interior Separation in the Three-Body Problem
H. Pierre Noyes
Abstract
H. Pierre Noyes
Abstract
The exterior-interior separation of the three-body wave function is derived directly from the Faddeev equations by using the Kowalski representation for the two-body $t$ matrices. The formalism clarifies the relationship between the quantum-mechanical observables in three-body breakup experiments and the two- and three-body wave functions in the interior regions. A complete parametrization of three-body breakup amplitudes suggested by this approach provides the generalization of the Watson-Migdal formula to include interference between resonances in different two-body channels.
OpenAlex reports 12 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
The exterior-interior separation of the three-body wave function is derived directly from the Faddeev equations by using the Kowalski representation for the two-body $t$ matrices. The formalism clarifies the relationship between the quantum-mechanical observables in three-body breakup experiments and the two- and three-body wave functions in the interior regions. A complete parametrization of three-body breakup amplitudes suggested by this approach provides the generalization of the Watson-Migdal formula to include interference between resonances in different two-body channels.
Key concepts: Three-body problem, Wave function, Faddeev equations, Physics, Many-body problem, Formalism (music), Classical mechanics, Observable