Langevin model of low-energy fission

Sierk, Arnold John

doi:10.1103/PhysRevC.96.034603

Title: Langevin model of low-energy fission

Journal Article · Tue Sep 05 00:00:00 EDT 2017 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.96.034603· OSTI ID:1394975

Sierk, Arnold John ^[1]

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

Since the earliest days of fission, stochastic models have been used to describe and model the process. For a quarter century, numerical solutions of Langevin equations have been used to model fission of highly excited nuclei, where microscopic potential-energy effects have been neglected. In this paper I present a Langevin model for the fission of nuclei with low to medium excitation energies, for which microscopic effects in the potential energy cannot be ignored. I solve Langevin equations in a five-dimensional space of nuclear deformations. The macroscopic-microscopic potential energy from a global nuclear structure model well benchmarked to nuclear masses is tabulated on a mesh of approximately 10⁷ points in this deformation space. The potential is defined continuously inside the mesh boundaries by use of a moving five-dimensional cubic spline approximation. Because of reflection symmetry, the effective mesh is nearly twice this size. For the inertia, I use a (possibly scaled) approximation to the inertia tensor defined by irrotational flow. A phenomenological dissipation tensor related to one-body dissipation is used. A normal-mode analysis of the dynamical system at the saddle point and the assumption of quasiequilibrium provide distributions of initial conditions appropriate to low excitation energies, and are extended to model spontaneous fission. A dynamical model of postscission fragment motion including dynamical deformations and separation allows the calculation of final mass and kinetic-energy distributions, along with other interesting quantities. The model makes quantitative predictions for fragment mass and kinetic-energy yields, some of which are very close to measured ones. Varying the energy of the incident neutron for induced fission allows the prediction of energy dependencies of fragment yields and average kinetic energies. With a simple approximation for spontaneous fission starting conditions, quantitative predictions are made for some observables which are close to measurements. In conclusion, this model is able to reproduce several mass and energy yield observables with a small number of physical parameters, some of which do not need to be varied after benchmarking to ²³⁵U (n, f) to predict results for other fissioning isotopes.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

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

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1394975

Alternate ID(s):: OSTI ID: 1378409

Report Number(s):: LA-UR-17-23344

Journal Information:: Physical Review C, Vol. 96, Issue 3; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 77 works

Citation information provided by
Web of Science

References (115)

High resolution study of u235(n _th , f) and Th229(n _th , f) with cosi fan tutte mass spectrometer Sicre, A.; Barreau, G.; Boukellal, A. Radiation Effects, Vol. 93, Issue 1-4 https://doi.org/10.1080/00337578608207431	journal	March 1986
Fission rate in multi-dimensional Langevin calculations Nadtochy, P. N.; Kelić, A.; Schmidt, K. -H. Physical Review C, Vol. 75, Issue 6 https://doi.org/10.1103/PhysRevC.75.064614	journal	June 2007
Kinetic Energy—Mass Distributions from the Fission of Nuclei Lighter than Radium Plasil, F.; Burnett, D. S.; Britt, H. C. Physical Review, Vol. 142, Issue 3 https://doi.org/10.1103/PhysRev.142.696	journal	February 1966
Comparison of the energy and mass characteristics of the ${}^{239}{Pu} (n_{th}, f)$ and the ${}^{240}{Pu}$ (sf) fragments Wagemans, C.; Allaert, E.; Deruytter, A. Physical Review C, Vol. 30, Issue 1 https://doi.org/10.1103/PhysRevC.30.218	journal	July 1984
Evolution of uranium fission-fragment charge yields with neutron number: Strong effect of multi-chance fission on yield asymmetries Möller, Peter; Schmitt, Christelle The European Physical Journal A, Vol. 53, Issue 1 https://doi.org/10.1140/epja/i2017-12188-6	journal	January 2017
Secondary fission barriers in even-even actinide nuclei Jachimowicz, P.; Kowal, M.; Skalski, J. Physical Review C, Vol. 85, Issue 3 https://doi.org/10.1103/PhysRevC.85.034305	journal	March 2012
Contrasting fission potential-energy structure of actinides and mercury isotopes Ichikawa, Takatoshi; Iwamoto, Akira; Möller, Peter Physical Review C, Vol. 86, Issue 2 https://doi.org/10.1103/PhysRevC.86.024610	journal	August 2012
A method to calculate fission-fragment yields Y(Z,N) versus proton and neutron number in the Brownian shape-motion model: Application to calculations of U and Pu charge yields Möller, Peter; Ichikawa, Takatoshi The European Physical Journal A, Vol. 51, Issue 12 https://doi.org/10.1140/epja/i2015-15173-1	journal	December 2015
Energy Dependence of Plutonium and Uranium Average Fragment Total Kinetic Energies Lestone, J. P.; Strother, T. T. Nuclear Data Sheets, Vol. 118 https://doi.org/10.1016/j.nds.2014.04.038	journal	April 2014
Dynamic Calculations of Fission of an Axially Symmetric Liquid Drop Kelson, I. Physical Review, Vol. 136, Issue 6B https://doi.org/10.1103/PhysRev.136.B1667	journal	December 1964
Fission of medium mass elements induced by 126 MeV 14N ions Cabot, C.; Ngô, C.; Péter, J. Nuclear Physics A, Vol. 244, Issue 1 https://doi.org/10.1016/0375-9474(75)90013-5	journal	June 1975
Systematic studies of fission fragment kinetic energy distributions by Langevin simulations Bao, J.; Zhuo, Y.; Wu, X. Zeitschrift f�r Physik A Hadrons and Nuclei, Vol. 352, Issue 3 https://doi.org/10.1007/BF01289505	journal	September 1995
Stochastic Problems in Physics and Astronomy Chandrasekhar, S. Reviews of Modern Physics, Vol. 15, Issue 1 https://doi.org/10.1103/RevModPhys.15.1	journal	January 1943
Theory of macroscopic fission dynamics Adeev, G. D.; Pashkevich, V. V. Nuclear Physics A, Vol. 502 https://doi.org/10.1016/0375-9474(89)90679-9	journal	October 1989
Mass-energy distribution of fragments from the fission of excited nuclei within three-dimensional Langevin dynamics Nadtochy, P. N.; Karpov, A. V.; Vanin, D. V. Physics of Atomic Nuclei, Vol. 64, Issue 5 https://doi.org/10.1134/1.1378876	journal	May 2001
Nuclear dissipation from fission time Gontchar, I.; Morjean, M.; Basnary, S. Europhysics Letters (EPL), Vol. 57, Issue 3 https://doi.org/10.1209/epl/i2002-00467-y	journal	February 2002
Brownian Shape Motion on Five-Dimensional Potential-Energy Surfaces:Nuclear Fission-Fragment Mass Distributions Randrup, Jørgen; Möller, Peter Physical Review Letters, Vol. 106, Issue 13 https://doi.org/10.1103/PhysRevLett.106.132503	journal	March 2011
Random neck rupture in deep-inelastic collisions Brosa, U.; Grossmann, S. Journal of Physics G: Nuclear Physics, Vol. 10, Issue 7 https://doi.org/10.1088/0305-4616/10/7/010	journal	July 1984
Fragments' mass and energy characteristics in the spontaneous fission of 236Pu, 238Pu, 240Pu, 242Pu, and 244Pu Demattè, L.; Wagemans, C.; Barthélémy, R. Nuclear Physics A, Vol. 617, Issue 3 https://doi.org/10.1016/S0375-9474(97)00032-8	journal	May 1997
Systematics of fission fragment total kinetic energy release Viola, V. E.; Kwiatkowski, K.; Walker, M. Physical Review C, Vol. 31, Issue 4 https://doi.org/10.1103/PhysRevC.31.1550	journal	April 1985
Fission dynamics simplified Hofmann, Helmut; Rayford Nix, J. Physics Letters B, Vol. 122, Issue 2 https://doi.org/10.1016/0370-2693(83)90776-1	journal	March 1983
Quasi-fission — The mass-drift mode in heavy-ion reactions Tōke, J.; Bock, R.; Dai, G. X. Nuclear Physics A, Vol. 440, Issue 2 https://doi.org/10.1016/0375-9474(85)90344-6	journal	July 1985
Fission-fragment energy correlation measurements for (nth, f) of 232U and 233U Asghar, M.; Caïtucoli, F.; Leroux, B. Nuclear Physics A, Vol. 368, Issue 2 https://doi.org/10.1016/0375-9474(81)90688-6	journal	September 1981
Dissipation and fluctuation of the relative momentum in nucleus-nucleus collisions Feldmeier, H.; Spangenberger, H. Nuclear Physics A, Vol. 435, Issue 1 https://doi.org/10.1016/0375-9474(85)90313-6	journal	March 1985
Results of calculations on a dynamic model of asymmetric fission Hasse, R. W. Physics Letters B, Vol. 27, Issue 10 https://doi.org/10.1016/0370-2693(68)90290-6	journal	October 1968
On stochastic approaches of nuclear dynamics Abe, Y.; Ayik, S.; Reinhard, P. -G. Physics Reports, Vol. 275, Issue 2-3 https://doi.org/10.1016/0370-1573(96)00003-8	journal	October 1996
Fission widths of hot nuclei from Langevin dynamics Chaudhuri, Gargi; Pal, Santanu Physical Review C, Vol. 63, Issue 6 https://doi.org/10.1103/PhysRevC.63.064603	journal	May 2001
A Langevin description of the competition between fusion and deep-inelastic collisions close to the barrier Fr�brich, P.; Marten, J. Zeitschrift f�r Physik A Hadrons and Nuclei, Vol. 339, Issue 1 https://doi.org/10.1007/BF01282946	journal	March 1991
Fission probability and the nuclear friction constant Grangé, P.; Weidenmüller, H. A. Physics Letters B, Vol. 96, Issue 1-2 https://doi.org/10.1016/0370-2693(80)90204-X	journal	October 1980
Five-Dimensional Fission-Barrier Calculations from ${}^{70}{S e}$ to ${}^{252}{C f}$ Möller, Peter; Sierk, Arnold J.; Iwamoto, Akira Physical Review Letters, Vol. 92, Issue 7 https://doi.org/10.1103/PhysRevLett.92.072501	journal	February 2004
Macroscopic description of isoscalar giant multipole resonances Nix, J. Rayford; Sierk, Arnold J. Physical Review C, Vol. 25, Issue 2 https://doi.org/10.1103/PhysRevC.25.1068	journal	February 1982
Transport phenomena in dissipative heavy-ion collisions: the one-body dissipation approach Feldmeier, H. Reports on Progress in Physics, Vol. 50, Issue 8 https://doi.org/10.1088/0034-4885/50/8/001	journal	August 1987
Total prompt energy release in the neutron-induced fission of 235U, 238U, and 239Pu Madland, D. G. Nuclear Physics A, Vol. 772, Issue 3-4 https://doi.org/10.1016/j.nuclphysa.2006.03.013	journal	June 2006
Three-dimensional Langevin calculations of fission fragment mass-energy distribution from excited compound nuclei Karpov, A. V.; Nadtochy, P. N.; Vanin, D. V. Physical Review C, Vol. 63, Issue 5 https://doi.org/10.1103/PhysRevC.63.054610	journal	April 2001
The wall formula for nuclear dissipation as a special limit of RPA damping Yannouleas, C. Nuclear Physics A, Vol. 439, Issue 2 https://doi.org/10.1016/0375-9474(85)90435-X	journal	June 1985
Calculated fission properties of the heaviest elements Möller, P.; Nix, J. R.; Swiatecki, W. J. Nuclear Physics A, Vol. 469, Issue 1 https://doi.org/10.1016/0375-9474(87)90083-2	journal	July 1987
The Mechanism of Nuclear Fission Bohr, Niels; Wheeler, John Archibald Physical Review, Vol. 56, Issue 5 https://doi.org/10.1103/PhysRev.56.426	journal	September 1939
One-body dissipation and the super-viscidity of nuclei Blocki, J.; Boneh, Y.; Nix, J. R. Annals of Physics, Vol. 113, Issue 2 https://doi.org/10.1016/0003-4916(78)90208-7	journal	August 1978
The influence of thermal fluctuations on the kinetic-energy distribution of fission fragments Grange, P.; Pauli, H. C.; Weidenmüller, H. A. Physics Letters B, Vol. 88, Issue 1-2 https://doi.org/10.1016/0370-2693(79)90101-1	journal	December 1979
�ber den Nachweis und das Verhalten der bei der Bestrahlung des Urans mittels Neutronen entstehenden Erdalkalimetalle Hahn, O.; Strassmann, F. Die Naturwissenschaften, Vol. 27, Issue 1 https://doi.org/10.1007/BF01488241	journal	January 1939
Fission hindrance in hot $^{216} Th$ : Evaporation residue measurements Back, B. B.; Blumenthal, D. J.; Davids, C. N. Physical Review C, Vol. 60, Issue 4 https://doi.org/10.1103/PhysRevC.60.044602	journal	August 1999
Shape parametrization for liquid-drop studies Trentalange, S.; Koonin, S. E.; Sierk, A. J. Physical Review C, Vol. 22, Issue 3 https://doi.org/10.1103/PhysRevC.22.1159	journal	September 1980
Large-scale fission-barrier calculations with the ETFSI method Mamdouh, A.; Pearson, J. M.; Rayet, M. Nuclear Physics A, Vol. 644, Issue 4 https://doi.org/10.1016/S0375-9474(98)00576-4	journal	December 1998
Nuclear shape isomers Möller, P.; Sierk, A. J.; Bengtsson, R. Atomic Data and Nuclear Data Tables, Vol. 98, Issue 2 https://doi.org/10.1016/j.adt.2010.09.002	journal	March 2012
Efficient Computer Manipulation of Tensor Products de Boor, Carl ACM Transactions on Mathematical Software, Vol. 5, Issue 2 https://doi.org/10.1145/355826.355831	journal	June 1979
Calculated ground-state properties of heavy nuclei Möller, P.; Nilsson, S. G.; Nix, J. R. Nuclear Physics A, Vol. 229, Issue 2 https://doi.org/10.1016/0375-9474(74)90789-1	journal	September 1974
Fission barriers for even-even superheavy nuclei Kowal, M.; Jachimowicz, P.; Sobiczewski, A. Physical Review C, Vol. 82, Issue 1 https://doi.org/10.1103/PhysRevC.82.014303	journal	July 2010
235U(n, f) Fragment mass-, kinetic energy- and angular distributions for incident neutron energies between thermal and 6 MeV Straede, Ch.; Budtz-Jørgensen, C.; Knitter, H. -H. Nuclear Physics A, Vol. 462, Issue 1 https://doi.org/10.1016/0375-9474(87)90381-2	journal	January 1987
Fission-fragment kinetic-energy distributions from a two-dimensional Fokker-Planck equation Scheuter, F.; Grégoire, C.; Hofmann, H. Physics Letters B, Vol. 149, Issue 4-5 https://doi.org/10.1016/0370-2693(84)90411-8	journal	December 1984
Langevin description of mass distributions of fragments originating from the fission of excited nuclei Vanin, D. V.; Nadtochy, P. N.; Kosenko, G. I. Physics of Atomic Nuclei, Vol. 63, Issue 11 https://doi.org/10.1134/1.1326976	journal	November 2000
Fission-fragment mass distributions from strongly damped shape evolution Randrup, J.; Möller, P.; Sierk, A. J. Physical Review C, Vol. 84, Issue 3 https://doi.org/10.1103/PhysRevC.84.034613	journal	September 2011
Brownian motion in a field of force and the diffusion model of chemical reactions Kramers, H. A. Physica, Vol. 7, Issue 4 https://doi.org/10.1016/S0031-8914(40)90098-2	journal	April 1940
Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen Einstein, A. Annalen der Physik, Vol. 322, Issue 8 https://doi.org/10.1002/andp.19053220806	journal	January 1905
Statistical model of heavy-ion fusion-fission reactions Lestone, J. P.; McCalla, S. G. Physical Review C, Vol. 79, Issue 4 https://doi.org/10.1103/PhysRevC.79.044611	journal	April 2009
Nuclear fission modes and fragment mass asymmetries in a five-dimensional deformation space Möller, P.; Madland, D. G.; Sierk, A. J. Nature, Vol. 409, Issue 6822 https://doi.org/10.1038/35057204	journal	February 2001
Shell effects in nuclear masses and deformation energies Strutinsky, V. M. Nuclear Physics A, Vol. 95, Issue 2 https://doi.org/10.1016/0375-9474(67)90510-6	journal	April 1967
Dynamics of fission and heavy ion reactions Rayford Nix, J.; Sierk, Arnold J. Nuclear Physics A, Vol. 428 https://doi.org/10.1016/0375-9474(84)90249-5	journal	October 1984
Fission of medium and heavy nuclei induced by 40Ar from 160 to 300 MeV: average total kinetic energy Borderie, B.; Hanappe, F.; Ngô, C. Nuclear Physics A, Vol. 220, Issue 1 https://doi.org/10.1016/0375-9474(74)90754-4	journal	February 1974
Nuclear viscosity of hot rotating $^{224} Th$ Diószegi, I.; Shaw, N. P.; Mazumdar, I. Physical Review C, Vol. 61, Issue 2 https://doi.org/10.1103/PhysRevC.61.024613	journal	January 2000
Effect of dissipation on the eigensolutions near the fission saddle point Davies, K. Thomas R.; Nix, J. Rayford; Sierk, Arnold J. Physical Review C, Vol. 28, Issue 3 https://doi.org/10.1103/PhysRevC.28.1181	journal	September 1983
Symmetric splitting of very light systems Grotowski, K.; Majka, Z.; Planeta, R. Physical Review C, Vol. 30, Issue 4 https://doi.org/10.1103/PhysRevC.30.1214	journal	October 1984
Three lectures on macroscopic aspects of nuclear dynamics Swiatecki, W. J. Progress in Particle and Nuclear Physics, Vol. 4 https://doi.org/10.1016/0146-6410(80)90014-9	journal	January 1980
Classical theory for one-body nuclear dynamics Koonin, S. E.; Randrup, J. Nuclear Physics A, Vol. 289, Issue 2 https://doi.org/10.1016/0375-9474(77)90047-1	journal	October 1977
Langevin description of fusion, deep-inelastic collisions and heavy-ion-induced fission Fröbrich, P.; Gontchar, I. I. Physics Reports, Vol. 292, Issue 3-4 https://doi.org/10.1016/S0370-1573(97)00042-2	journal	January 1998
Fission barriers at the end of the chart of the nuclides Möller, Peter; Sierk, Arnold J.; Ichikawa, Takatoshi Physical Review C, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevC.91.024310	journal	February 2015
Nuclear Ground-State Masses and Deformations Moller, P.; Nix, J. R.; Myers, W. D. Atomic Data and Nuclear Data Tables, Vol. 59, Issue 2, p. 185-381 https://doi.org/10.1006/adnd.1995.1002	journal	March 1995
Energetics of Charged Particle-Induced Fission Reactions Britt, H. C.; Wegner, H. E.; Gursky, Judith C. Physical Review, Vol. 129, Issue 5 https://doi.org/10.1103/PhysRev.129.2239	journal	March 1963
Nuclear ground-state masses and deformations: FRDM(2012) Möller, P.; Sierk, A. J.; Ichikawa, T. Atomic Data and Nuclear Data Tables, Vol. 109-110 https://doi.org/10.1016/j.adt.2015.10.002	journal	May 2016
Heavy-element fission barriers Möller, Peter; Sierk, Arnold J.; Ichikawa, Takatoshi Physical Review C, Vol. 79, Issue 6 https://doi.org/10.1103/PhysRevC.79.064304	journal	June 2009
Realistic fission saddle-point shapes Möller, P.; Iwamoto, A. Physical Review C, Vol. 61, Issue 4 https://doi.org/10.1103/PhysRevC.61.047602	journal	March 2000
Hartree-Fock mass formulas and extrapolation to new mass data Goriely, S.; Samyn, M.; Heenen, P. -H. Physical Review C, Vol. 66, Issue 2 https://doi.org/10.1103/PhysRevC.66.024326	journal	August 2002
Effect of fission dynamics on the spectra and multiplicities of prompt fission neutrons Nix, J. Rayford; Madland, David G.; Sierk, Arnold J. Radiation Effects, Vol. 92, Issue 1-4 https://doi.org/10.1080/00337578608208336	journal	March 1986
The SPIDER fission fragment spectrometer for fission product yield measurements Meierbachtol, K.; Tovesson, F.; Shields, D. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 788 https://doi.org/10.1016/j.nima.2015.02.032	journal	July 2015
The imaginary part of the nucleon-nucleus optical potential in semiclassical approximation Hasse, Rainer W.; Schuck, Peter Nuclear Physics A, Vol. 438, Issue 1 https://doi.org/10.1016/0375-9474(85)90123-X	journal	May 1985
Prompt Fission Neutron Spectra of Actinides Capote, R.; Chen, Y. -J.; Hambsch, F. -J. Nuclear Data Sheets, Vol. 131 https://doi.org/10.1016/j.nds.2015.12.002	journal	January 2016
Role of Effective Distance in the Fission Mechanism Study by the Double-energy Measurement for Uranium Isotopes Baba, Hiroshi; Saito, Tadashi; Takahashi, Naruto Journal of Nuclear Science and Technology, Vol. 34, Issue 9 https://doi.org/10.1080/18811248.1997.9733759	journal	September 1997
Effect of viscosity on the dynamics of fission Davies, K. T. R.; Sierk, A. J.; Nix, J. R. Physical Review C, Vol. 13, Issue 6 https://doi.org/10.1103/PhysRevC.13.2385	journal	June 1976
Energy Dependence of Fission Product Yields from 235U, 238U and 239Pu for Incident Neutron Energies Between 0.5 and 14.8 MeV Gooden, M. E.; Arnold, C. W.; Becker, J. A. Nuclear Data Sheets, Vol. 131 https://doi.org/10.1016/j.nds.2015.12.006	journal	January 2016
Comparative study of the fragments' mass and energy characteristics in the spontaneous fussion of 238Pu, 240Pu and 242Pu and in the thermal-neutron-induced fission of 239Pu Schillebeeckx, P.; Wagemans, C.; Deruytter, A. J. Nuclear Physics A, Vol. 545, Issue 3 https://doi.org/10.1016/0375-9474(92)90296-V	journal	August 1992
Studies in the liquid-drop theory of nuclear fission Nix, James Rayford; Swiatecki, Wladyslaw J. Nuclear Physics, Vol. 71, Issue 1 https://doi.org/10.1016/0029-5582(65)90038-6	journal	September 1965
Multi-dimensional Langevin approach to fission dynamics Wada, Takahiro; Carjan, Nicolae; Abe, Yasuhisa Nuclear Physics A, Vol. 538 https://doi.org/10.1016/0375-9474(92)90778-I	journal	March 1992
Further studies in the liquid-drop theory on nuclear fission Rayford Nix, James Nuclear Physics A, Vol. 130, Issue 2 https://doi.org/10.1016/0375-9474(69)90730-1	journal	June 1969
Fission in a wall-and-window one-body-dissipation model Sierk, Arnold J.; Nix, J. Rayford Physical Review C, Vol. 21, Issue 3 https://doi.org/10.1103/PhysRevC.21.982	journal	March 1980
Nuclear scission Brosa, Ulrich; Grossmann, Siegfried; Müller, Andreas Physics Reports, Vol. 197, Issue 4 https://doi.org/10.1016/0370-1573(90)90114-H	journal	December 1990
Neutron-fragment and Neutron-neutron Correlations in Low-energy Fission Lestone, J. P. Nuclear Data Sheets, Vol. 131 https://doi.org/10.1016/j.nds.2015.12.007	journal	January 2016
On the dynamics of fission as a dissipative process Pomorski, K.; Hofmann, H. Journal de Physique, Vol. 42, Issue 3 https://doi.org/10.1051/jphys:01981004203038100	journal	January 1981
Macroscopic model of rotating nuclei Sierk, Arnold J. Physical Review C, Vol. 33, Issue 6 https://doi.org/10.1103/PhysRevC.33.2039	journal	June 1986
Stationary Fokker-Planck equation applied to fission dynamics Nix, J. Rayford; Sierk, Arnold J.; Hofmann, Helmut Nuclear Physics A, Vol. 424, Issue 2 https://doi.org/10.1016/0375-9474(84)90184-2	journal	August 1984
Studies of nucleus-nucleus collisions with a schematic liquid-drop model and one-body dissipation Donangelo, R.; Canto, L. F. Nuclear Physics A, Vol. 451, Issue 2 https://doi.org/10.1016/0375-9474(86)90419-7	journal	March 1986
Calculated fission barriers, ground-state masses, and particle separation energies for nuclei with 76 ≤ Z ≤ 100 and 140 ≤ N ≤ 184 Howard, W. M.; Möller, P. Atomic Data and Nuclear Data Tables, Vol. 25, Issue 3 https://doi.org/10.1016/0092-640X(80)90005-4	journal	May 1980
Fission Time Scales from Giant Dipole Resonances Paul, Peter; Thoennessen, Michael Annual Review of Nuclear and Particle Science, Vol. 44, Issue 1 https://doi.org/10.1146/annurev.ns.44.120194.000433	journal	December 1994
New developments in the calculation of heavy-element fission barriers Möller, P.; Nix, J. R.; Swiatecki, W. J. Nuclear Physics A, Vol. 492, Issue 3 https://doi.org/10.1016/0375-9474(89)90403-X	journal	February 1989
Giant multipole resonances — perspectives after ten years Bertrand, Fred E. Nuclear Physics A, Vol. 354, Issue 1-2 https://doi.org/10.1016/0375-9474(81)90596-0	journal	February 1981
Étude comparée de la fission du bismuth et de l'uranium induite par des protons de grande énergie (156 MeV) Galin, J.; Lefort, M.; Peter, J. Nuclear Physics A, Vol. 134, Issue 3 https://doi.org/10.1016/0375-9474(69)90018-9	journal	September 1969
Two-dimensional Langevin approach to nuclear fission dynamics Tillack, G. -R. Physics Letters B, Vol. 278, Issue 4 https://doi.org/10.1016/0370-2693(92)90575-O	journal	April 1992
Dividing the Continent Hayes, Brian American Scientist, Vol. 88, Issue 6 https://doi.org/10.1511/2000.41.3335	journal	January 2000
Total kinetic energies in the fission of 101Rh, 110Cd, 119I and 138Ba nuclei Namboodiri, M. N.; Natowitz, J. B.; Chulick, E. T. Nuclear Physics A, Vol. 252, Issue 1 https://doi.org/10.1016/0375-9474(75)90610-7	journal	November 1975
Evidence for the production of compound nuclei with atomic number 110 Sikkeland, T. Physics Letters B, Vol. 27, Issue 5 https://doi.org/10.1016/0370-2693(68)90097-X	journal	August 1968
Four-dimensional Langevin dynamics of heavy-ion-induced fission Nadtochy, P. N.; Ryabov, E. G.; Gegechkori, A. E. Physical Review C, Vol. 85, Issue 6 https://doi.org/10.1103/PhysRevC.85.064619	journal	June 2012
Dynamics of Fission Modes Studied with the 3-dimensional Langevin Equation Ichikawa, T.; Asano, T.; Wada, T. Journal of Nuclear and Radiochemical Sciences, Vol. 3, Issue 1 https://doi.org/10.14494/jnrs2000.3.67	journal	January 2002
Macroscopic description of isoscalar giant multipole resonances Nix, J. Rayford; Sierk, Arnold J. Physical Review C, Vol. 21, Issue 1 https://doi.org/10.1103/PhysRevC.21.396	journal	January 1980
Disintegration of Uranium by Neutrons: a New Type of Nuclear Reaction Meitner, Lise; Frisch, O. R. Nature, Vol. 143, Issue 3615 https://doi.org/10.1038/143239a0	journal	February 1939
Isomer production ratios and the angular momentum distribution of fission fragments Stetcu, I.; Talou, P.; Kawano, T. Physical Review C, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevC.88.044603	journal	October 2013
Fragment Kinetic Energy Release in Heavy-Ion-Induced Fission Reactions Viola, Victor E.; Sikkeland, Torbjørn Physical Review, Vol. 130, Issue 5 https://doi.org/10.1103/PhysRev.130.2044	journal	June 1963
Classical wall formula and quantal one-body dissipation Griffin, J. J.; Dworzecka, M. Nuclear Physics A, Vol. 455, Issue 1 https://doi.org/10.1016/0375-9474(86)90344-1	journal	July 1986
On the nuclear structure and stability of heavy and superheavy elements Nilsson, Sven Gösta; Tsang, Chin Fu; Sobiczewski, Adam Nuclear Physics A, Vol. 131, Issue 1 https://doi.org/10.1016/0375-9474(69)90809-4	journal	June 1969
Fission process of nuclei at low excitation energies with a Langevin approach Aritomo, Y.; Chiba, S. Physical Review C, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevC.88.044614	journal	October 2013
Observation of void formation patterns in SnAg films undergoing electromigration and simulation using random walk methods Jin, Zhi; Shen, Yu-An; Zuo, Yang Scientific Reports, Vol. 11, Issue 1 https://doi.org/10.1038/s41598-021-88122-w	journal	April 2021
Three-Dimensional Langevin Calculations of Fission Fragment Mass-Energy Distribution from Excited Compound Nuclei Nadtochy, P. N.; Karpov, A. V.; Adeev, G. D. Proceedings of the 5th International Conference, Dynamical Aspects of Nuclear Fission https://doi.org/10.1142/9789812776723_0009	conference	November 2011
Statistical Model of Heavy-Ion Fusion-Fission Reactions Lestone, J. P.; McCalla, S. G. arXiv https://doi.org/10.48550/arxiv.0807.3362	text	January 2008
Brownian shape motion on five-dimensional potential-energy surfaces: Nuclear fission-fragment mass distributions Randrup, Jorgen; Moller, Peter arXiv https://doi.org/10.48550/arxiv.1103.0535	text	January 2011
Fission-fragment mass distributions from strongly damped shape evolution Randrup, J.; Moller, P.; Sierk, A. J. arXiv https://doi.org/10.48550/arxiv.1107.2624	text	January 2011
A Method to Calculate Fission-Fragment Yields $Y(Z,N)$ versus Proton and Neutron Number in the Brownian Shape-Motion Model. Application to calculations of U and Pu charge yields Moller, P.; Ichikawa, T. arXiv https://doi.org/10.48550/arxiv.1508.05964	text	January 2015
Fission widths of hot nuclei from Langevin dynamics Chaudhuri, Gargi; Pal, Santanu arXiv https://doi.org/10.48550/arxiv.nucl-th/0101037	text	January 2001
Nuclear Ground-State Masses and Deformations Möller, P.; Nix, J. R.; Myers, W. D. arXiv https://doi.org/10.48550/arxiv.nucl-th/9308022	text	January 1993

Cited By (9)

Correlated transitions in TKE and mass distributions of fission fragments described by 4-D Langevin equation Usang, Mark Dennis; Ivanyuk, Fedir A.; Ishizuka, Chikako Scientific Reports, Vol. 9, Issue 1 https://doi.org/10.1038/s41598-018-37993-7	journal	February 2019
²³⁵ U(n, f) Independent fission product yield and isomeric ratio calculated with the statistical Hauser–Feshbach theory Okumura, Shin; Kawano, Toshihiko; Jaffke, Patrick Journal of Nuclear Science and Technology, Vol. 55, Issue 9 https://doi.org/10.1080/00223131.2018.1467288	journal	April 2018
r -process nucleosynthesis: connecting rare-isotope beam facilities with the cosmos Horowitz, C. J.; Arcones, A.; Côté, B. Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 8 https://doi.org/10.1088/1361-6471/ab0849	journal	July 2019
Fission dynamics in systems of intermediate fissility Vardaci, E.; Di Nitto, A.; Nadtochy, P. N. Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 11 https://doi.org/10.1088/1361-6471/ab445a	journal	October 2019
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
Role of channel temperature and mass window in the binary breakup of ${}^{236}U^{*}$ Kokila, C.; Balasubramaniam, M. Physical Review C, Vol. 100, Issue 3 https://doi.org/10.1103/physrevc.100.034607	journal	September 2019
Formation and distribution of fragments in the spontaneous fission of $^{240} Pu$ Sadhukhan, Jhilam; Zhang, Chunli; Nazarewicz, Witold Physical Review C, Vol. 96, Issue 6 https://doi.org/10.1103/physrevc.96.061301	journal	December 2017
Correlated prompt fission data in transport simulations Talou, P.; Vogt, R.; Randrup, J. The European Physical Journal A, Vol. 54, Issue 1 https://doi.org/10.1140/epja/i2018-12455-0	journal	January 2018
Correlated Prompt Fission Data in Transport Simulations Talou, P.; Vogt, R.; Randrup, J. arXiv https://doi.org/10.48550/arxiv.1710.00107	text	January 2017

Similar Records

Dynamical calculations of nuclear fission and heavy-ion reactions

Conference · Sun Jan 01 00:00:00 EST 1984 · OSTI ID:1394975

Nix, J R; Sierk, A J

Microscopic Theory of Nuclear Fission: A Review

Journal Article · Tue Oct 11 00:00:00 EDT 2016 · Reports on Progress in Physics · OSTI ID:1394975

Schunck, N.; Robledo, L. M.

Microscopic modeling of mass and charge distributions in the spontaneous fission of ²⁴⁰Pu

Journal Article · Wed Jan 20 00:00:00 EST 2016 · Physical Review C · OSTI ID:1394975

Sandhukhan, Jhilam; Nazarewicz, Witold; Schunck, Nicolas

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Atomic and Nuclear Physics
Fission
dynamical model
nuclear dissipation
predicted mass yields
total fragment kinetic energies
235U
239Pu
240 Pu
233U
252Cf

Title: Langevin model of low-energy fission

Citation Formats

References (115)

Cited By (9)

Similar Records

Related Subjects