The general structure and the basic features of several many-body coupled-channel integral equations, obtained by means of the channel coupling array device, are studied in a systematic way. Particular attention is paid to the employment of symmetric transition operators. We clarify the connection between different formulations and discuss the role played by some off-shell transformations for manybody transition operators. Specific choices of the coupling scheme are considered and the corresponding coupled equations are compared with similar equations previously derived. We also present several sets of linear relations between transition operators and use them in a three-body context to derive uncoupled integral equations with connected kernel.
Coupled-channel equations and off-shell transformations in many-body scattering
CATTAPAN, GIORGIO;
1977
Abstract
The general structure and the basic features of several many-body coupled-channel integral equations, obtained by means of the channel coupling array device, are studied in a systematic way. Particular attention is paid to the employment of symmetric transition operators. We clarify the connection between different formulations and discuss the role played by some off-shell transformations for manybody transition operators. Specific choices of the coupling scheme are considered and the corresponding coupled equations are compared with similar equations previously derived. We also present several sets of linear relations between transition operators and use them in a three-body context to derive uncoupled integral equations with connected kernel.
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