Pauli-corrected Breit-Wigner formulae for compound resonances in two- and three-cluster systems

Journal Article · 18 January 2008 · Nuovo Cimento, A

DOI: https://doi.org/10.1007/BF02786217 · OSTI ID:1446474

Orlowski, Mariusz ^[1]

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1. Stanford Univ., CA (United States). Stanford Linear Accelerator Center

Herein, Breit-Wigner formulae for compound resonances in two- and three-cluster 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 a modification of the Wildermuth-Benöhr reaction theory.

• Research Organization: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• Grant/Contract Number: AC02-76SF00515; AC03-76SF00515
• OSTI ID: 1446474
• Report Number(s): SLAC-PUB-2951
• Journal Information: Nuovo Cimento, A, Vol. 80, Issue 1; ISSN 0369-3546
• Publisher: Springer NatureCopyright Statement
• Country of Publication: United States
• Language: English