Parameterization of Direct and Doorway Processes in R-Matrix Formalism
R-matrix formalism is extended beyond compound nuclear (CN) resonant reactions to include parameterization of direct as well as doorway processes. Direct processes in the R-matrix exterior are parameterized by a unitary matrix that introduces mixing among wave function coefficients of the incoming a...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2023-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://www.epj-conferences.org/articles/epjconf/pdf/2023/10/epjconf_nd2023_03005.pdf |
| _version_ | 1797807734933946368 |
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| author | Arbanas Goran Brown Jesse Wiarda Dorothea Holcomb Andrew Brain Peter Barry Devin Danon Yaron |
| author_facet | Arbanas Goran Brown Jesse Wiarda Dorothea Holcomb Andrew Brain Peter Barry Devin Danon Yaron |
| author_sort | Arbanas Goran |
| collection | DOAJ |
| description | R-matrix formalism is extended beyond compound nuclear (CN) resonant reactions to include parameterization of direct as well as doorway processes. Direct processes in the R-matrix exterior are parameterized by a unitary matrix that introduces mixing among wave function coefficients of the incoming and outgoing wave function components at the R-matrix channel surface. Doorway processes are parameterized by separating the Hilbert space of the interior R-matrix region into its doorway and CN subspaces, from which doorway state eigenenergies, reduced width amplitudes, and the strengths of their coupling to CN levels appear as new R-matrix parameters. Parameterization of generalized as well as the conventional Reich–Moore approximation for eliminated capture channels in the presence of direct, doorway, and CN processes is presented along with a complex-valued scattering length with contributions from direct, doorway, and CN capture processes. Derivation of Brune’s alternative R-matrix parameters is extended to include doorway states. This work suggests how R-matrix formalism could be extended further by adopting the concepts from related reaction formalisms. |
| first_indexed | 2024-03-13T06:27:05Z |
| format | Article |
| id | doaj.art-a9b0a16332794b9e86c6e615e6321371 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-03-13T06:27:05Z |
| publishDate | 2023-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-a9b0a16332794b9e86c6e615e63213712023-06-09T09:16:15ZengEDP SciencesEPJ Web of Conferences2100-014X2023-01-012840300510.1051/epjconf/202328403005epjconf_nd2023_03005Parameterization of Direct and Doorway Processes in R-Matrix FormalismArbanas Goran0Brown Jesse1Wiarda Dorothea2Holcomb Andrew3Brain Peter4Barry Devin5Danon Yaron6Oak Ridge National LaboratoryOak Ridge National LaboratoryOak Ridge National LaboratoryOECD Nuclear Energy AgencyRensselaer Polytechnic InstituteNaval Nuclear Laboratory, SchenectadyRensselaer Polytechnic InstituteR-matrix formalism is extended beyond compound nuclear (CN) resonant reactions to include parameterization of direct as well as doorway processes. Direct processes in the R-matrix exterior are parameterized by a unitary matrix that introduces mixing among wave function coefficients of the incoming and outgoing wave function components at the R-matrix channel surface. Doorway processes are parameterized by separating the Hilbert space of the interior R-matrix region into its doorway and CN subspaces, from which doorway state eigenenergies, reduced width amplitudes, and the strengths of their coupling to CN levels appear as new R-matrix parameters. Parameterization of generalized as well as the conventional Reich–Moore approximation for eliminated capture channels in the presence of direct, doorway, and CN processes is presented along with a complex-valued scattering length with contributions from direct, doorway, and CN capture processes. Derivation of Brune’s alternative R-matrix parameters is extended to include doorway states. This work suggests how R-matrix formalism could be extended further by adopting the concepts from related reaction formalisms.https://www.epj-conferences.org/articles/epjconf/pdf/2023/10/epjconf_nd2023_03005.pdf |
| spellingShingle | Arbanas Goran Brown Jesse Wiarda Dorothea Holcomb Andrew Brain Peter Barry Devin Danon Yaron Parameterization of Direct and Doorway Processes in R-Matrix Formalism EPJ Web of Conferences |
| title | Parameterization of Direct and Doorway Processes in R-Matrix Formalism |
| title_full | Parameterization of Direct and Doorway Processes in R-Matrix Formalism |
| title_fullStr | Parameterization of Direct and Doorway Processes in R-Matrix Formalism |
| title_full_unstemmed | Parameterization of Direct and Doorway Processes in R-Matrix Formalism |
| title_short | Parameterization of Direct and Doorway Processes in R-Matrix Formalism |
| title_sort | parameterization of direct and doorway processes in r matrix formalism |
| url | https://www.epj-conferences.org/articles/epjconf/pdf/2023/10/epjconf_nd2023_03005.pdf |
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