1972•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsRequires access

Comment on the Exterior-Interior Separation in the Three-Body Problem

H. Pierre Noyes

Open publisher page 12 citations

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.

About this research paper

What this paper is about

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.

Why it matters

OpenAlex reports 12 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Three-body problem, Wave function, Faddeev equations, Physics, Many-body problem, Formalism (music), Classical mechanics, Observable

Related papers

Back to paper searchBrowse research topicsOriginal source
Comment on the Exterior-Interior Separation in the Three-Body Problem — Research Paper | ScholarLens