Comparison of the Chandler-Gibson and the Baer, Kouri, Levin, and Tobocman many-body scattering formalisms
The Chandler-Gibson N-body scattering formalism is shown to be related to the one of Baer, Kouri, Levin, and Tobocman in that both are the result of selecting a set of Lippmann-Schwinger equations to serve as a set of simultaneous coupled integral equations for all the elements in a row or column of the transition operator matrix. The Baer, Kouri, Levin, and Tobocman choice has the advantage that the equations decouple on iteration to give a set of uncoupled connected kernel equations whereas the Chandler-Gibson choice has the advantage of coupling the partitions in a symmetrical manner. This might cause the Chandler-Gibson formalism to be less sensitive than the Baer, Kouri, Levin, and Tobocman formalism to truncations on the spectrum of allowed intermediate virtual states. The Chandler-Gibson formalism is shown to be consistent with unitarity provided the coupling scheme includes all open channels. An alternative method for introducing projectors into the Chandler-Gibson formalism is suggested as a method for generating connected kernel equations. The Chandler-Gibson wave function equations are derived and compared to the coupled reaction channels equations. Finally, we show that like the Baer, Kouri, Levin, and Tobocman equations, the Chandler-Gibson equations decouple and, in fact, reduce to a single wave operator equation of particularly simple form.
- Research Organization:
- Physics Department, Case Western Reserve University, Cleveland, Ohio 44106
- OSTI ID:
- 6076052
- Journal Information:
- Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 27:4; ISSN PRVCA
- Country of Publication:
- United States
- Language:
- English
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