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Impact of alternative transmission coeffcient parameterizations on Hauser-Feshbach theory

Journal Article · · Physical Review C
 [1];  [1];  [1]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States)
Here, we investigate different formulations of the transmission coefficient Tc, including the form implied by Moldauer’s “sum rule for resonance reactions” and the Moldauer-Simonius form. Within these different formulations, we compute the neutron transmission coefficients in the resolved and unresolved resonance regions, allowing a direct comparison with the transmission coefficients computed using an optical model potential. For nuclei for which there are no measured resonances, these approaches allow one to predict the average neutron resonance parameters directly from the optical model and level densities. Some of the approaches are valid in both the strong and weak coupling limits (i.e., any value of the average width and mean level spacing). Finally, both the Moldauer-Simonius and Moldauer’s Sum Rule forms approaches suggest that superradiance, that is, the quantum chaotic enhancement of certain channels, may be a common phenomena in nuclear collisions. Our results suggest why superradiance has been previously overlooked. We apply our approach to neutron reactions on the closed shell 90Zr nucleus and the mid-shell 197Au nucleus.
Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Grant/Contract Number:
AC02-98CH10886; SC0012704
OSTI ID:
1460713
Alternate ID(s):
OSTI ID: 1465612
Report Number(s):
BNL--207837-2018-JAAM
Journal Information:
Physical Review C, Journal Name: Physical Review C Journal Issue: 2 Vol. 98; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (35)

Grassmann integration in stochastic quantum physics: The case of compound-nucleus scattering journal December 1985
Unitarity and the energy averaged S-matrix journal October 1974
The pre-equilibrium statistical model: Description of the nuclear equilibration process and parameterization of the model journal September 1971
Extensions to the pre-equilibrium statistical model and a study of complex particle emission journal October 1972
Pre-equilibrium decay and the exciton model journal May 1973
Local and global nucleon optical models from 1 keV to 200 MeV journal January 2003
An ENDF-6 compatible evaluation for neutron induced reactions of 232Th in the unresolved resonance region journal July 2008
EMPIRE: Nuclear Reaction Model Code System for Data Evaluation journal December 2007
RIPL – Reference Input Parameter Library for Calculation of Nuclear Reactions and Nuclear Data Evaluations journal December 2009
Towards a More Complete and Accurate Experimental Nuclear Reaction Data Library (EXFOR): International Collaboration Between Nuclear Reaction Data Centres (NRDC) journal June 2014
ENDF/B-VIII.0: The 8 th Major Release of the Nuclear Reaction Data Library with CIELO-project Cross Sections, New Standards and Thermal Scattering Data journal February 2018
Evaluation of the Neutron Data Standards journal February 2018
Evaluation of Neutron Reactions on Iron Isotopes for CIELO and ENDF/B-VIII.0 journal February 2018
The experimental nuclear reaction data (EXFOR): Extended computer database and Web retrieval system
  • Zerkin, V. V.; Pritychenko, B.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 888 https://doi.org/10.1016/j.nima.2018.01.045
journal April 2018
On the use of the generalized SPRT method in the equivalent hard sphere approximation for nuclear data evaluation journal January 2017
Super-radiant dynamics, doorways and resonances in nuclei and other open mesoscopic systems journal September 2011
Fast Neutron Capture below 1 MeV: The Cross Sections for 238 U and 232 Th journal August 1957
Average Resonance Parameters and the Optical Model journal January 1963
Unitary Models of Nuclear Resonance Reactions journal May 1967
Resonance Widths and Spacings: Their Averages and Distributions journal July 1968
Model for Nuclear Reactions with Neutrons journal October 1954
Why the Hauser-Feshbach formula works journal February 1975
Direct reaction effects on compound cross sections journal September 1975
Hauser-Feshbach Theory and Ericson Fluctuations in the Presence of Direct Reactions journal September 1973
Cross-section measurements for the Fe 56 ( n , x n γ ) reactions journal September 2014
Random-matrix approach to the statistical compound nuclear reaction at low energies using the Monte Carlo technique journal October 2015
Structure of amplitude correlations in open chaotic systems journal February 2013
Cross-section fluctuations in chaotic scattering systems journal October 2016
Exit-Channel Suppression in Statistical Reaction Theory journal December 2017
Statistical Model of Intermediate Structure journal August 1966
Sum Rule for Resonance Reactions journal October 1967
The Angular Distribution of Scattering and Reaction Cross Sections journal October 1952
Generalization of the SPRT Method for the Modeling of the Neutron Cross Sections in the Unresolved Resonance Range journal May 2009
Evaluation of the Unresolved Resonance Range of 238 U journal October 1989
Evaluation of the Unresolved Resonance Range of 238 U + n , Part II: Differential Data Tests journal August 1992

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