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

Orlowski, Mariusz

doi:10.1007/BF02786217

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

Journal Article · Fri Jan 18 00:00:00 EST 2008 · Nuovo Cimento, A

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

Orlowski, Mariusz ^[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.

View Accepted Manuscript (DOE)

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

Alternate ID(s):: OSTI ID: 6400817

Report Number(s):: SLAC-PUB--2951

Journal Information:: Nuovo Cimento, A, Journal Name: Nuovo Cimento, A Journal Issue: 1 Vol. 80; ISSN 0369-3546

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (23)

Techniques of Asymptotic Analysis Sirovich, Lawrence Applied Mathematical Sciences https://doi.org/10.1007/978-1-4612-6402-6	book	January 1971
A Unified Theory of the Nucleus Wildermuth, K.; Tang, Y. C. https://doi.org/10.1007/978-3-322-85255-7	book	January 1977
The reduced width amplitude in the reaction theory for composite particles Fliessbach, Torsten Zeitschrift f�r Physik A: Atoms and Nuclei, Vol. 272, Issue 1 https://doi.org/10.1007/BF01408426	journal	March 1975
The concept of a Pauli barrier in nucleus-nucleus scattering Schmid, E. W.; Saito, S.; Fiedeldey, H. Zeitschrift f�r Physik A Atoms and Nuclei, Vol. 306, Issue 1 https://doi.org/10.1007/BF01413405	journal	March 1982
Approximative treatment of the Coulomb exchange interaction of clusters Orlowski, M.; Schmid, E. W. Zeitschrift f�r Physik A Atoms and Nuclei, Vol. 306, Issue 1 https://doi.org/10.1007/BF01413407	journal	March 1982
R-matrix approach to the 3-body problem Glöckle, W. Zeitschrift für Physik, Vol. 271, Issue 1 https://doi.org/10.1007/BF01676398	journal	March 1974
The asymptotic form of three-particle wavefunctions and the cross sections Newton, Roger G. Annals of Physics, Vol. 74, Issue 2 https://doi.org/10.1016/0003-4916(72)90144-3	journal	December 1972
Scattering from correlated systems Scheerbaum, R. R.; Shakin, C. M.; Thaler, R. M. Annals of Physics, Vol. 76, Issue 2 https://doi.org/10.1016/0003-4916(73)90038-9	journal	April 1973
Erratum No authors listed Annals of Physics, Vol. 78, Issue 2, p. 561-562 https://doi.org/10.1016/0003-4916(73)90273-X	journal	June 1973
Three-body scattering in configuration space Merkuriev, S. P.; Gignoux, C.; Laverne, A. Annals of Physics, Vol. 99, Issue 1 https://doi.org/10.1016/0003-4916(76)90083-X	journal	July 1976
The orthogonal projection method in scattering theory Kukulin, V. I.; Pomerantsev, V. N. Annals of Physics, Vol. 111, Issue 2 https://doi.org/10.1016/0003-4916(78)90069-6	journal	April 1978
Resonating-group method for nuclear many-body problems Tang, Y. C.; LeMere, M.; Thompsom, D. R. Physics Reports, Vol. 47, Issue 3 https://doi.org/10.1016/0370-1573(78)90175-8	journal	November 1978
Dynamical theory of nuclear reactions in the framework of cluster representations Benöhr, H. C.; Wildermuth, K. Nuclear Physics A, Vol. 128, Issue 1 https://doi.org/10.1016/0375-9474(69)90976-2	journal	April 1969
A detailed analysis of 3H from Faddeev equations in configuration space Laverne, A.; Gignoux, C. Nuclear Physics A, Vol. 203, Issue 3 https://doi.org/10.1016/0375-9474(73)90366-7	journal	March 1973
Analysis of α-decay widths of light 4n nuclei Arima, A.; Yoshida, S. Nuclear Physics A, Vol. 219, Issue 3 https://doi.org/10.1016/0375-9474(74)90113-4	journal	February 1974
A microscopic analysis of scattering of α-particles on 12C Suzuki, Y.; Ando, T.; Imanishi, B. Nuclear Physics A, Vol. 295, Issue 3 https://doi.org/10.1016/0375-9474(78)90181-1	journal	February 1978
Quasiparticles and the Born Series Weinberg, Steven Physical Review, Vol. 131, Issue 1 https://doi.org/10.1103/PhysRev.131.440	journal	July 1963
Asymptotic Form of the Wave Function for Three-Particle Scattering Nuttall, J.; Webb, J. G. Physical Review, Vol. 178, Issue 5 https://doi.org/10.1103/PhysRev.178.2226	journal	February 1969
Decompositions into channels of three- and four-body wave functions Sasakawa, T. Physical Review C, Vol. 17, Issue 6 https://doi.org/10.1103/PhysRevC.17.2015	journal	June 1978
Derivation of Pauli-corrected effective intercluster interactions Orlowski, M. Physical Review C, Vol. 26, Issue 4 https://doi.org/10.1103/PhysRevC.26.1351	journal	October 1982
Kohn Variational Principle for Three-Particle Scattering Nuttall, J. Physical Review Letters, Vol. 19, Issue 8 https://doi.org/10.1103/PhysRevLett.19.473	journal	August 1967
Interaction between Clusters and Pauli Principle Saito, Sakae Progress of Theoretical Physics, Vol. 41, Issue 3 https://doi.org/10.1143/PTP.41.705	journal	March 1969
Chapter II. Theory of Resonating Group Method and Generator Coordinate Method, and Orthogonality Condition Model Saito, Sakae Progress of Theoretical Physics Supplement, Vol. 62 https://doi.org/10.1143/PTPS.62.11	journal	January 1977

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