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

Moller, Peter; Ichikawa, Takatoshi

doi:10.1140/epja/i2015-15173-1

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

Journal Article · Wed Dec 23 00:00:00 EST 2015 · European Physical Journal. A

DOI:https://doi.org/10.1140/epja/i2015-15173-1· OSTI ID:1248876

Moller, Peter ^[1]; Ichikawa, Takatoshi ^[2]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Kyoto Univ., Kyoto (Japan)

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 ϵ_f1, right nascent fragment deformation ϵ_f2 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.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1248876

Report Number(s):: LA-UR-15-26635; PII: 350

Journal Information:: European Physical Journal. A, Vol. 51, Issue 12; ISSN 1434-6001

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 29 works

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References (26)

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Review on the progress in nuclear fission—experimental methods and theoretical descriptions Schmidt, Karl-Heinz; Jurado, Beatriz Reports on Progress in Physics, Vol. 81, Issue 10 https://doi.org/10.1088/1361-6633/aacfa7	journal	September 2018
Number of particles in fission fragments Verriere, Marc; Schunck, Nicolas; Kawano, Toshihiko Physical Review C, Vol. 100, Issue 2 https://doi.org/10.1103/physrevc.100.024612	journal	August 2019
Fission fragment charge and mass distributions in ${}^{239}{Pu} (n, f)$ in the adiabatic nuclear energy density functional theory Regnier, D.; Dubray, N.; Schunck, N. Physical Review C, Vol. 93, Issue 5 https://doi.org/10.1103/physrevc.93.054611	journal	May 2016
Langevin model of low-energy fission Sierk, Arnold J. Physical Review C, Vol. 96, Issue 3 https://doi.org/10.1103/physrevc.96.034603	journal	September 2017

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