# 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. 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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