Statistical Features of the Thermal Neutron Capture Cross Sections
We discuss the existence of huge thermal neutron capture cross sections in several nuclei. The values of the cross sections are several orders of magnitude bigger than expected at these very low energies. We lend support to the idea that this phenomenon is random in nature and is similar to what we...
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Jagiellonian University/Polish Academy of Arts and Sciences
2016
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Online Access: | http://hdl.handle.net/1721.1/103061 |
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author | Hussein, M. S. Carlson, B. V. Kerman, Arthur Kent |
author2 | Massachusetts Institute of Technology. Department of Physics |
author_facet | Massachusetts Institute of Technology. Department of Physics Hussein, M. S. Carlson, B. V. Kerman, Arthur Kent |
author_sort | Hussein, M. S. |
collection | MIT |
description | We discuss the existence of huge thermal neutron capture cross sections in several nuclei. The values of the cross sections are several orders of magnitude bigger than expected at these very low energies. We lend support to the idea that this phenomenon is random in nature and is similar to what we have learned from the study of parity violation in the actinide region. The idea of statistical doorways is advanced as a unified concept in the delineation of large numbers in the nuclear world. The average number of maxima per unit mass, ⟨nA⟩ in the capture cross section is calculated and related to the underlying cross section correlation function and found to be (na) = 3∕(π√2γ A), where γA is a characteristic mass correlation width which designates the degree of remnant coherence in the system. We trace this coherence to nucleosynthesis which produced the nuclei whose neutron capture cross sections are considered here. |
first_indexed | 2024-09-23T09:46:04Z |
format | Article |
id | mit-1721.1/103061 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T09:46:04Z |
publishDate | 2016 |
publisher | Jagiellonian University/Polish Academy of Arts and Sciences |
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spelling | mit-1721.1/1030612022-09-26T13:36:28Z Statistical Features of the Thermal Neutron Capture Cross Sections Hussein, M. S. Carlson, B. V. Kerman, Arthur Kent Massachusetts Institute of Technology. Department of Physics Kerman, Arthur Kent We discuss the existence of huge thermal neutron capture cross sections in several nuclei. The values of the cross sections are several orders of magnitude bigger than expected at these very low energies. We lend support to the idea that this phenomenon is random in nature and is similar to what we have learned from the study of parity violation in the actinide region. The idea of statistical doorways is advanced as a unified concept in the delineation of large numbers in the nuclear world. The average number of maxima per unit mass, ⟨nA⟩ in the capture cross section is calculated and related to the underlying cross section correlation function and found to be (na) = 3∕(π√2γ A), where γA is a characteristic mass correlation width which designates the degree of remnant coherence in the system. We trace this coherence to nucleosynthesis which produced the nuclei whose neutron capture cross sections are considered here. Conselho Nacional de Pesquisas (Brazil) Fundação de Amparo à Pesquisa do Estado de São Paulo 2016-06-08T18:43:22Z 2016-06-08T18:43:22Z 2016-02 2015-12 Article http://purl.org/eprint/type/JournalArticle 0587-4254 1509-5770 http://hdl.handle.net/1721.1/103061 Hussein, M. S., B. V. Carlson, and A. K. Kerman. "Statistical Features of the Thermal Neutron Capture Cross Sections." Acta Physica Polonica B 47:2 (2016), p.391-404. en_US http://dx.doi.org/10.5506/APhysPolB.47.391 Acta Physica Polonica B Creative Commons Attribution http://creativecommons.org/licenses/by-nc/3.0/ application/pdf Jagiellonian University/Polish Academy of Arts and Sciences Acta Physica Polonica B Editorial Office |
spellingShingle | Hussein, M. S. Carlson, B. V. Kerman, Arthur Kent Statistical Features of the Thermal Neutron Capture Cross Sections |
title | Statistical Features of the Thermal Neutron Capture Cross Sections |
title_full | Statistical Features of the Thermal Neutron Capture Cross Sections |
title_fullStr | Statistical Features of the Thermal Neutron Capture Cross Sections |
title_full_unstemmed | Statistical Features of the Thermal Neutron Capture Cross Sections |
title_short | Statistical Features of the Thermal Neutron Capture Cross Sections |
title_sort | statistical features of the thermal neutron capture cross sections |
url | http://hdl.handle.net/1721.1/103061 |
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