Pauli-corrected Breit-Wigner formulae for compound resonances in two- and three-cluster systems
Abstract
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.
- Authors:
-
- Stanford Univ., CA (United States). Stanford Linear Accelerator Center
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1446474
- Report Number(s):
- SLAC-PUB-2951
Journal ID: ISSN 0369-3546
- Grant/Contract Number:
- AC02-76SF00515; AC03-76SF00515
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nuovo Cimento, A
- Additional Journal Information:
- Journal Volume: 80; Journal Issue: 1; Journal ID: ISSN 0369-3546
- Publisher:
- Springer Nature
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; Nuclear reaction and scattering models and methods
Citation Formats
Orlowski, Mariusz. Pauli-corrected Breit-Wigner formulae for compound resonances in two- and three-cluster systems. United States: N. p., 2008.
Web. doi:10.1007/BF02786217.
Orlowski, Mariusz. Pauli-corrected Breit-Wigner formulae for compound resonances in two- and three-cluster systems. United States. https://doi.org/10.1007/BF02786217
Orlowski, Mariusz. Fri .
"Pauli-corrected Breit-Wigner formulae for compound resonances in two- and three-cluster systems". United States. https://doi.org/10.1007/BF02786217. https://www.osti.gov/servlets/purl/1446474.
@article{osti_1446474,
title = {Pauli-corrected Breit-Wigner formulae for compound resonances in two- and three-cluster systems},
author = {Orlowski, Mariusz},
abstractNote = {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.},
doi = {10.1007/BF02786217},
journal = {Nuovo Cimento, A},
number = 1,
volume = 80,
place = {United States},
year = {2008},
month = {1}
}
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