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Title: A method to calculate fission-fragment yields Y(Z,N) versus proton and neutron number in the Brownian shape-motion model

Abstract

In this study, we propose a method to calculate the two-dimensional (2D) fission-fragment yield Y(Z,N) versus both proton and neutron number, with inclusion of odd-even staggering effects in both variables. The approach is to use the Brownian shape-motion on a macroscopic-microscopic potential-energy surface which, for a particular compound system is calculated versus four shape variables: elongation (quadrupole moment Q2), neck d, left nascent fragment spheroidal deformation ϵf1, right nascent fragment deformation ϵf2 and two asymmetry variables, namely proton and neutron numbers in each of the two fragments. The extension of previous models 1) introduces a method to calculate this generalized potential-energy function and 2) allows the correlated transfer of nucleon pairs in one step, in addition to sequential transfer. In the previous version the potential energy was calculated as a function of Z and N of the compound system and its shape, including the asymmetry of the shape. We outline here how to generalize the model from the “compound-system” model to a model where the emerging fragment proton and neutron numbers also enter, over and above the compound system composition.

Authors:
 [1];  [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Kyoto Univ., Kyoto (Japan)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1248876
Report Number(s):
LA-UR-15-26635
Journal ID: ISSN 1434-6001; PII: 350
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
European Physical Journal. A
Additional Journal Information:
Journal Volume: 51; Journal Issue: 12; Journal ID: ISSN 1434-6001
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Moller, Peter, and Ichikawa, Takatoshi. A method to calculate fission-fragment yields Y(Z,N) versus proton and neutron number in the Brownian shape-motion model. United States: N. p., 2015. Web. doi:10.1140/epja/i2015-15173-1.
Moller, Peter, & Ichikawa, Takatoshi. A method to calculate fission-fragment yields Y(Z,N) versus proton and neutron number in the Brownian shape-motion model. United States. https://doi.org/10.1140/epja/i2015-15173-1
Moller, Peter, and Ichikawa, Takatoshi. 2015. "A method to calculate fission-fragment yields Y(Z,N) versus proton and neutron number in the Brownian shape-motion model". United States. https://doi.org/10.1140/epja/i2015-15173-1. https://www.osti.gov/servlets/purl/1248876.
@article{osti_1248876,
title = {A method to calculate fission-fragment yields Y(Z,N) versus proton and neutron number in the Brownian shape-motion model},
author = {Moller, Peter and Ichikawa, Takatoshi},
abstractNote = {In this study, we propose a method to calculate the two-dimensional (2D) fission-fragment yield Y(Z,N) versus both proton and neutron number, with inclusion of odd-even staggering effects in both variables. The approach is to use the Brownian shape-motion on a macroscopic-microscopic potential-energy surface which, for a particular compound system is calculated versus four shape variables: elongation (quadrupole moment Q2), neck d, left nascent fragment spheroidal deformation ϵf1, right nascent fragment deformation ϵf2 and two asymmetry variables, namely proton and neutron numbers in each of the two fragments. The extension of previous models 1) introduces a method to calculate this generalized potential-energy function and 2) allows the correlated transfer of nucleon pairs in one step, in addition to sequential transfer. In the previous version the potential energy was calculated as a function of Z and N of the compound system and its shape, including the asymmetry of the shape. We outline here how to generalize the model from the “compound-system” model to a model where the emerging fragment proton and neutron numbers also enter, over and above the compound system composition.},
doi = {10.1140/epja/i2015-15173-1},
url = {https://www.osti.gov/biblio/1248876}, journal = {European Physical Journal. A},
issn = {1434-6001},
number = 12,
volume = 51,
place = {United States},
year = {Wed Dec 23 00:00:00 EST 2015},
month = {Wed Dec 23 00:00:00 EST 2015}
}

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Cited by: 29 works
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Works referenced in this record:

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Works referencing / citing this record:

Review on the progress in nuclear fission—experimental methods and theoretical descriptions
journal, September 2018


Number of particles in fission fragments
journal, August 2019


Langevin model of low-energy fission
journal, September 2017