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Title: Statistical Features of the Thermal Neutron Capture Cross Sections

Abstract

In this paper, 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, < n A > in the capture cross section is calculated and related to the underlying cross section correlation function and found to be < n A > = 3/(π√2γ A), where γ A is a characteristic mass correlation width which designates the degree of remnant coherence in the system. Finally, we trace this coherence to nucleosynthesis which produced the nuclei whose neutron capture cross sections are considered here.

Authors:
 [1];  [2];  [3]
  1. Univ. of Sao Paulo (Brazil). Inst. of Advanced Studies. Inst. of Physics; Technological Inst. of Aeronautics (ITA), Sao Jose dos Campos (Brazil). Dept. of Physics
  2. Technological Inst. of Aeronautics (ITA), Sao Jose dos Campos (Brazil). Dept. of Physics
  3. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division; Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Sao Paulo (Brazil)
Sponsoring Org.:
USDOE; Sao Paulo Research Foundation (FAPESP) (Brazil); National Council for Scientific and Technological Development (CNPq) (Brazil)
Contributing Org.:
Technological Inst. of Aeronautics (ITA), Sao Jose dos Campos (Brazil); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
OSTI Identifier:
1337821
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Acta Physica Polonica. Series B
Additional Journal Information:
Journal Volume: 47; Journal Issue: 2; Journal ID: ISSN 0587-4254
Publisher:
Jagiellonian University
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Hussein, M. S., Carlson, B. V., and Kerman, A. K. Statistical Features of the Thermal Neutron Capture Cross Sections. United States: N. p., 2016. Web. doi:10.5506/APhysPolB.47.391.
Hussein, M. S., Carlson, B. V., & Kerman, A. K. Statistical Features of the Thermal Neutron Capture Cross Sections. United States. doi:10.5506/APhysPolB.47.391.
Hussein, M. S., Carlson, B. V., and Kerman, A. K. Mon . "Statistical Features of the Thermal Neutron Capture Cross Sections". United States. doi:10.5506/APhysPolB.47.391. https://www.osti.gov/servlets/purl/1337821.
@article{osti_1337821,
title = {Statistical Features of the Thermal Neutron Capture Cross Sections},
author = {Hussein, M. S. and Carlson, B. V. and Kerman, A. K.},
abstractNote = {In this paper, 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√2γA), where γA is a characteristic mass correlation width which designates the degree of remnant coherence in the system. Finally, we trace this coherence to nucleosynthesis which produced the nuclei whose neutron capture cross sections are considered here.},
doi = {10.5506/APhysPolB.47.391},
journal = {Acta Physica Polonica. Series B},
number = 2,
volume = 47,
place = {United States},
year = {Mon Feb 01 00:00:00 EST 2016},
month = {Mon Feb 01 00:00:00 EST 2016}
}

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