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Title: 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:
 [1]
  1. 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. doi:10.1007/BF02786217.
Orlowski, Mariusz. Fri . "Pauli-corrected Breit-Wigner formulae for compound resonances in two- and three-cluster systems". United States. doi: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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Works referenced in this record:

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