Pauli-corrected Breit-wigner Formulae for Compound Resonances in Two- and Three-cluster Systems*

Breit-Wigner formulae for compound resonances in twoand threecluster systems are derived. Analytic corrections due to the Pauli Principle with regard to corresponding formulae for partial resonance widths and resonance pole shifts are given. In the case of a system of three composite particles a model is formulated, in which sudden decay into three clusters is determined by the knowledge of the microscopical compound state of the metastable decaying nucleus. The derivation of the Breit-Wigner formulae in the case of a three-cluster system is based on the study of the asymptotic behavior of the full three-body Green’s function. In the case of the two-body channel situation the formalism presented here is an alternative to the Wildermuth-BenShr reaction theory. Submitted to Progress of Theoretical Physics *Work supported by the Department of Energy, contract DE-AC03-76SF00515. **Present addrxss: Purdue University, Department of Physics, West Lafayette, Indiana 47907.