Angular momentum of fission fragments from microscopic theory

Marević, Petar; Schunck, Nicolas; Randrup, Jørgen; Vogt, Ramona

doi:10.1103/physrevc.104.l021601

Angular momentum of fission fragments from microscopic theory

Journal Article · Wed Aug 04 00:00:00 EDT 2021 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.104.l021601· OSTI ID:1812562

^[1]; Schunck, Nicolas ^[1]; ^[2]; ^[3]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Nuclear and Chemical Sciences Division
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Nuclear Science Division
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Nuclear and Chemical Sciences Division; Univ. of California, Davis, CA (United States). Physics and Astronomy Dept.

During nuclear fission, a heavy nucleus splits into two rotating fragments. The associated angular momentum is large, yet the mechanism of its generation and its dependence on the mass of fragments remain poorly understood. In this Letter, we provide the first microscopic calculations of angular-momentum distributions in fission fragments for a wide range of fragment masses. For the benchmark case of ²³⁹Pu(n_th,f), we find that the angular momentum of the fragments is largely determined by the nuclear shell structure and deformation, and that the heavy fragments therefore typically carry less angular momentum than their light partners. We use the fission model freya to simulate the emission of neutrons and photons from the fragments. The dependence of the angular momenta on fragment mass after the emission of neutrons and statistical photons is linear for the heavy fragments and either constant or weakly linear for the light fragments, consistent with the universal sawtooth pattern suggested by recent experimental data. Finally, we observe that using microscopic angular-momentum distributions modifies the number of emitted photons significantly.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1812562

Report Number(s):: LLNL-JRNL--818187; 1028361

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 2 Vol. 104; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (70)

Prompt γ-rays emitted in the thermal-neutron induced fission of 233U and 239Pu Pleasonton, Frances Nuclear Physics A, Vol. 213, Issue 2 https://doi.org/10.1016/0375-9474(73)90161-9	journal	October 1973
Neutron-induced fission: properties of prompt neutron and γ rays as a function of incident energy Stetcu, I.; Talou, P.; Kawano, T. EPJ Web of Conferences, Vol. 122 https://doi.org/10.1051/epjconf/201612201012	journal	January 2016
Effect of shell structure on the fission of sub-lead nuclei Scamps, Guillaume; Simenel, Cédric Physical Review C, Vol. 100, Issue 4 https://doi.org/10.1103/physrevc.100.041602	journal	October 2019
Practical formulation of the extended Wick’s theorem and the Onishi formula Robledo, L. M. Physical Review C, Vol. 50, Issue 6 https://doi.org/10.1103/physrevc.50.2874	journal	December 1994
Refined treatment of angular momentum in the event-by-event fission model freya Randrup, J.; Vogt, R. Physical Review C, Vol. 89, Issue 4 https://doi.org/10.1103/physrevc.89.044601	journal	April 2014
Particle-number projection method in time-dependent Hartree-Fock theory: Properties of reaction products Sekizawa, Kazuyuki; Yabana, Kazuhiro Physical Review C, Vol. 90, Issue 6 https://doi.org/10.1103/physrevc.90.064614	journal	December 2014
From asymmetric to symmetric fission in the fermium isotopes within the time-dependent generator-coordinate-method formalism Regnier, D.; Dubray, N.; Schunck, N. Physical Review C, Vol. 99, Issue 2 https://doi.org/10.1103/physrevc.99.024611	journal	February 2019
Fission of Pu 240 with Symmetry-Restored Density Functional Theory Marević, P.; Schunck, N. Physical Review Letters, Vol. 125, Issue 10 https://doi.org/10.1103/physrevlett.125.102504	journal	September 2020
Microscopic calculation of 240Pu scission with a finite-range effective force Younes, W.; Gogny, D. arXiv https://doi.org/10.48550/arxiv.0910.1284	text	January 2009
Description of Induced Nuclear Fission with Skyrme Energy Functionals: I. Static Potential Energy Surfaces and Fission Fragment Properties Schunck, N.; Duke, D.; Carr, H. arXiv https://doi.org/10.48550/arxiv.1311.2616	text	January 2013
Formation and dynamics of fission fragments Simenel, C.; Umar, A. S. arXiv https://doi.org/10.48550/arxiv.1312.4669	text	January 2013
Fission fragment charge and mass distributions in 239Pu(n,f) in the adiabatic nuclear energy density functional theory Regnier, D.; Dubray, N.; Schunck, N. arXiv https://doi.org/10.48550/arxiv.1603.08824	text	January 2016
Microscopic description of production cross sections including deexcitation effects Sekizawa, Kazuyuki arXiv https://doi.org/10.48550/arxiv.1705.02904	text	January 2017
Improved modeling of photon observables with FREYA Vogt, R.; Randrup, J. arXiv https://doi.org/10.48550/arxiv.1708.07312	text	January 2017
Projection of Good Quantum Numbers for Reaction Fragments Bulgac, Aurel arXiv https://doi.org/10.48550/arxiv.1907.03056	text	January 2019
Contact pairing interaction for the Hartree-Fock-Bogoliubov calculations Dobaczewski, J.; Nazarewicz, W.; Stoitsov, M. V. arXiv https://doi.org/10.48550/arxiv.nucl-th/0109073	preprint	January 2001
Funny Hills: The Shell-Correction Approach to Nuclear Shell Effects and its Applications to the Fission Process Brack, Matthias; Damgaard, J.; Jensen, A. S. Universität Regensburg https://doi.org/10.5283/epub.11946	text	January 1972
Theory of Nuclear Fission Krappe, Hans J.; Pomorski, Krzysztof Lecture Notes in Physics https://doi.org/10.1007/978-3-642-23515-3	book	January 2012
�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
Average spins of primary fission fragments Abdelrahman, Y.; Durell, J. L.; Gelletly, W. Physics Letters B, Vol. 199, Issue 4 https://doi.org/10.1016/0370-2693(87)91617-0	journal	December 1987
Towards a better parametrisation of Skyrme-like effective forces: A critical study of the SkM force Bartel, J.; Quentin, P.; Brack, M. Nuclear Physics A, Vol. 386, Issue 1 https://doi.org/10.1016/0375-9474(82)90403-1	journal	September 1982
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
Solution of the Skyrme–Hartree–Fock–Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (IV) HFODD (v2.08i): a new version of the program Dobaczewski, J.; Olbratowski, P. Computer Physics Communications, Vol. 158, Issue 3 https://doi.org/10.1016/j.cpc.2004.02.003	journal	April 2004
Axially deformed solution of the Skyrme–Hartree–Fock–Bogolyubov equations using the transformed harmonic oscillator basis (III) hfbtho (v3.00): A new version of the program Perez, R. Navarro; Schunck, N.; Lasseri, R. -D. Computer Physics Communications, Vol. 220 https://doi.org/10.1016/j.cpc.2017.06.022	journal	November 2017
Fission Reaction Event Yield Algorithm FREYA 2.0.2 Verbeke, J. M.; Randrup, J.; Vogt, R. Computer Physics Communications, Vol. 222 https://doi.org/10.1016/j.cpc.2017.09.006	journal	January 2018
Mass and kinetic energy distributions of fission fragments using the time dependent generator coordinate method Goutte, H.; Casoli, P.; Berger, J. -F. Nuclear Physics A, Vol. 734 https://doi.org/10.1016/j.nuclphysa.2004.01.038	journal	April 2004
Fission barriers and probabilities of spontaneous fission for elements with Z≥ 100 Baran, A.; Kowal, M.; Reinhard, P. -G. Nuclear Physics A, Vol. 944 https://doi.org/10.1016/j.nuclphysa.2015.06.002	journal	December 2015
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
Impact of pear-shaped fission fragments on mass-asymmetric fission in actinides Scamps, Guillaume; Simenel, Cédric Nature, Vol. 564, Issue 7736 https://doi.org/10.1038/s41586-018-0780-0	journal	December 2018
Angular momentum generation in nuclear fission Wilson, J. N.; Thisse, D.; Lebois, M. Nature, Vol. 590, Issue 7847 https://doi.org/10.1038/s41586-021-03304-w	journal	February 2021
Measurement of Fragment Mass Dependent Kinetic Energy and Neutron Multiplicity for Thermal Neutron Induced Fission of Plutonium-239 Nishio, Katsuhisa; Nakagome, Yoshihiro; Kanno, Ikuo Journal of Nuclear Science and Technology, Vol. 32, Issue 5 https://doi.org/10.1080/18811248.1995.9731725	journal	May 1995
Microscopic theory of nuclear fission: a review Schunck, N.; Robledo, L. M. Reports on Progress in Physics, Vol. 79, Issue 11 https://doi.org/10.1088/0034-4885/79/11/116301	journal	October 2016
Future of nuclear fission theory Bender, Michael; Bernard, Rémi; Bertsch, George Journal of Physics G: Nuclear and Particle Physics, Vol. 47, Issue 11 https://doi.org/10.1088/1361-6471/abab4f	journal	October 2020
Energy Density Functional Methods for Atomic Nuclei Schunck, Nicolas https://doi.org/10.1088/2053-2563/aae0ed	book	January 2019
Velocity and Angular Distributions of Prompt Neutrons from Spontaneous Fission of Cf 252 Bowman, Harry R.; Thompson, Stanley G.; Milton, J. C. D. Physical Review, Vol. 126, Issue 6 https://doi.org/10.1103/PhysRev.126.2120	journal	June 1962
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
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
Projection of good quantum numbers for reaction fragments Bulgac, Aurel Physical Review C, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevC.100.034612	journal	September 2019
Fission dynamics of Pu 240 from saddle to scission and beyond Bulgac, Aurel; Jin, Shi; Roche, Kenneth J. Physical Review C, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevC.100.034615	journal	September 2019
Effect of shell structure on the fission of sub-lead nuclei Scamps, Guillaume; Simenel, Cédric Physical Review C, Vol. 100, Issue 4 https://doi.org/10.1103/PhysRevC.100.041602	journal	October 2019
Angular momentum effects in fission Vogt, R.; Randrup, J. Physical Review C, Vol. 103, Issue 1 https://doi.org/10.1103/PhysRevC.103.014610	journal	January 2021
Projection on particle number and angular momentum: Example of triaxial Bogoliubov quasiparticle states Bally, Benjamin; Bender, Michael Physical Review C, Vol. 103, Issue 2 https://doi.org/10.1103/PhysRevC.103.024315	journal	February 2021
Angular distribution of neutrons from fission fragments Gavron, A. Physical Review C, Vol. 13, Issue 6 https://doi.org/10.1103/PhysRevC.13.2562	journal	June 1976
Practical formulation of the extended Wick’s theorem and the Onishi formula Robledo, L. M. Physical Review C, Vol. 50, Issue 6 https://doi.org/10.1103/PhysRevC.50.2874	journal	December 1994
Prompt Gamma Rays from U 235 ( n , f ) , Pu 239 ( n , f ) , and Spontaneous Fission of Cf 252 Verbinski, V. V.; Weber, Hans; Sund, R. E. Physical Review C, Vol. 7, Issue 3 https://doi.org/10.1103/PhysRevC.7.1173	journal	March 1973
Angular momentum of fission fragments in low energy fission of actinides Naik, H.; Dange, S. P.; Singh, R. J. Physical Review C, Vol. 71, Issue 1 https://doi.org/10.1103/PhysRevC.71.014304	journal	January 2005
Scission configurations and their implication in fission-fragment angular momenta Bonneau, L.; Quentin, P.; Mikhailov, I. N. Physical Review C, Vol. 75, Issue 6 https://doi.org/10.1103/PhysRevC.75.064313	journal	June 2007
Microscopic calculation of Pu 240 scission with a finite-range effective force Younes, W.; Gogny, D. Physical Review C, Vol. 80, Issue 5 https://doi.org/10.1103/PhysRevC.80.054313	journal	November 2009
Advanced Monte Carlo modeling of prompt fission neutrons for thermal and fast neutron-induced fission reactions on Pu 239 Talou, P.; Becker, B.; Kawano, T. Physical Review C, Vol. 83, Issue 6 https://doi.org/10.1103/PhysRevC.83.064612	journal	June 2011
Monte Carlo Hauser-Feshbach predictions of prompt fission γ rays: Application to n th + 235 U, n th + 239 Pu, and 252 Cf (sf) Becker, B.; Talou, P.; Kawano, T. Physical Review C, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevC.87.014617	journal	January 2013
Formation and dynamics of fission fragments Simenel, C.; Umar, A. S. Physical Review C, Vol. 89, Issue 3 https://doi.org/10.1103/PhysRevC.89.031601	journal	March 2014
Refined treatment of angular momentum in the event-by-event fission model freya Randrup, J.; Vogt, R. Physical Review C, Vol. 89, Issue 4 https://doi.org/10.1103/PhysRevC.89.044601	journal	April 2014
Description of induced nuclear fission with Skyrme energy functionals: Static potential energy surfaces and fission fragment properties Schunck, N.; Duke, D.; Carr, H. Physical Review C, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevC.90.054305	journal	November 2014
Particle-number projection method in time-dependent Hartree-Fock theory: Properties of reaction products Sekizawa, Kazuyuki; Yabana, Kazuhiro Physical Review C, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevC.90.064614	journal	December 2014
Fission fragment charge and mass distributions in Pu 239 ( 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
Microscopic description of production cross sections including deexcitation effects Sekizawa, Kazuyuki Physical Review C, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevC.96.014615	journal	July 2017
Microscopic study of induced fission dynamics of Th 226 with covariant energy density functionals Tao, H.; Zhao, J.; Li, Z. P. Physical Review C, Vol. 96, Issue 2 https://doi.org/10.1103/PhysRevC.96.024319	journal	August 2017
Transfer probabilities for the reactions O 14 , 20 + O 20 in terms of multiple time-dependent Hartree-Fock-Bogoliubov trajectories Scamps, Guillaume; Hashimoto, Yukio Physical Review C, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevC.96.031602	journal	September 2017
Improved modeling of photon observables with the event-by-event fission model freya Vogt, R.; Randrup, J. Physical Review C, Vol. 96, Issue 6 https://doi.org/10.1103/PhysRevC.96.064620	journal	December 2017
Microscopic self-consistent description of induced fission dynamics: Finite-temperature effects Zhao, Jie; Nikšić, Tamara; Vretenar, Dario Physical Review C, Vol. 99, Issue 1 https://doi.org/10.1103/PhysRevC.99.014618	journal	January 2019
From asymmetric to symmetric fission in the fermium isotopes within the time-dependent generator-coordinate-method formalism Regnier, D.; Dubray, N.; Schunck, N. Physical Review C, Vol. 99, Issue 2 https://doi.org/10.1103/PhysRevC.99.024611	journal	February 2019
Angular momentum of fission fragments Bertsch, G. F.; Kawano, T.; Robledo, L. M. Physical Review C, Vol. 99, Issue 3 https://doi.org/10.1103/PhysRevC.99.034603	journal	March 2019
Time-dependent generator-coordinate-method study of mass-asymmetric fission of actinides Zhao, Jie; Xiang, Jian; Li, Zhi-Pan Physical Review C, Vol. 99, Issue 5 https://doi.org/10.1103/PhysRevC.99.054613	journal	May 2019
Nuclear Scission and Quantum Localization Younes, W.; Gogny, D. Physical Review Letters, Vol. 107, Issue 13 https://doi.org/10.1103/PhysRevLett.107.132501	journal	September 2011
Induced Fission of Pu 240 within a Real-Time Microscopic Framework Bulgac, Aurel; Magierski, Piotr; Roche, Kenneth J. Physical Review Letters, Vol. 116, Issue 12 https://doi.org/10.1103/PhysRevLett.116.122504	journal	March 2016
Fission of Pu 240 with Symmetry-Restored Density Functional Theory Marević, P.; Schunck, N. Physical Review Letters, Vol. 125, Issue 10 https://doi.org/10.1103/PhysRevLett.125.102504	journal	September 2020
Fission Fragment Intrinsic Spins and Their Correlations Bulgac, Aurel; Abdurrahman, Ibrahim; Jin, Shi Physical Review Letters, Vol. 126, Issue 14 https://doi.org/10.1103/PhysRevLett.126.142502	journal	April 2021
Angular Correlation of Neutrons from Spontaneous Fission of Cf 252 Pringle, J. S.; Brooks, F. D. Physical Review Letters, Vol. 35, Issue 23 https://doi.org/10.1103/PhysRevLett.35.1563	journal	December 1975
Funny Hills: The Shell-Correction Approach to Nuclear Shell Effects and Its Applications to the Fission Process Brack, M.; Damgaard, Jens; Jensen, A. S. Reviews of Modern Physics, Vol. 44, Issue 2 https://doi.org/10.1103/RevModPhys.44.320	journal	April 1972
Quantum Theory of Angular Momentum Varshalovich, D. A.; Moskalev, A. N.; Khersonskii, V. K. https://doi.org/10.1142/0270	book	October 1988

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