Quadrupole Collective Inertia in Nuclear Fission: Cranking Approximation

Baran, A.; Sheikh, J. A.; Dobaczewski, J.; Nazarewicz, Witold

doi:10.1103/PhysRevC.84.054321

Quadrupole Collective Inertia in Nuclear Fission: Cranking Approximation

Journal Article · Sat Jan 01 04:00:00 EST 2011 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.84.054321· OSTI ID:1030610

Baran, A. ^[1]; Sheikh, J. A. ^[2]; Dobaczewski, J. ^[3]; Nazarewicz, Witold ^[4]

Maria Curie-Sklodowska University
University of Tennessee, Knoxville (UTK) & Oak Ridge National Laboratory (ORNL)
Warsaw University
ORNL

Collective mass tensor derived from the cranking approximation to the adiabatic time-dependent Hartree-Fock-Bogoliubov (ATDHFB) approach is compared with that obtained in the Gaussian Overlap Approximation (GOA) to the generator coordinate method. Illustrative calculations are carried out for one-dimensional quadrupole fission pathways in ^{256}Fm. It is shown that the collective mass exhibits strong variations with the quadrupole collective coordinate. These variations are related to the changes in the intrinsic shell structure. The differences between collective inertia obtained in cranking and perturbative cranking approximations to ATDHFB, and within GOA, are discussed.

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Oak Ridge National Laboratory (ORNL)

Sponsoring Organization:: DOE Office of Science; SC USDOE - Office of Science (SC)

DOE Contract Number:: AC05-00OR22725

OSTI ID:: 1030610

Journal Information:: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 5 Vol. 84; ISSN 0556-2813; ISSN PRVCAN

Country of Publication:: United States

Language:: English

References (46)

Pairing renormalization and regularization within the local density approximation Borycki, P. J.; Dobaczewski, J.; Nazarewicz, W. Physical Review C, Vol. 73, Issue 4 https://doi.org/10.1103/PhysRevC.73.044319	journal	April 2006
Microscopic description of complex nuclear decay: Multimodal fission Staszczak, A.; Baran, A.; Dobaczewski, J. Physical Review C, Vol. 80, Issue 1 https://doi.org/10.1103/PhysRevC.80.014309	journal	July 2009
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
Microscopic approach of fission dynamics applied to fragment kinetic energy and mass distributions in U 238 Goutte, H.; Berger, J. F.; Casoli, P. Physical Review C, Vol. 71, Issue 2 https://doi.org/10.1103/PhysRevC.71.024316	journal	February 2005
Microscopic theory of fission dynamics Negele, John W. Nuclear Physics A, Vol. 502 https://doi.org/10.1016/0375-9474(89)90676-3	journal	October 1989
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
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
The quadrupole vibrational inertial function in the adiabatic time-dependent Hartree-Fock-Bogolyubov approximation Dobaczewski, J.; Skalski, J. Nuclear Physics A, Vol. 369, Issue 1 https://doi.org/10.1016/0375-9474(81)90010-5	journal	October 1981
Solution of the Skyrme–Hartree–Fock equations in the Cartesian deformed harmonic-oscillator basis. (III) HFODD (v1.75r): a new version of the program Dobaczewski, J.; Dudek, J. Computer Physics Communications, Vol. 131, Issue 1-2 https://doi.org/10.1016/S0010-4655(00)00121-1	journal	September 2000
Open problems in the microscopic theory of large-amplitude collective motion Matsuyanagi, K.; Matsuo, M.; Nakatsukasa, T. Journal of Physics G: Nuclear and Particle Physics, Vol. 37, Issue 6 https://doi.org/10.1088/0954-3899/37/6/064018	journal	April 2010
Mass parameters for large amplitude collective motion: A perturbative microscopic approach Yuldashbaeva, E. Kh.; Libert, J.; Quentin, P. Physics Letters B, Vol. 461, Issue 1-2 https://doi.org/10.1016/S0370-2693(99)00836-9	journal	August 1999
Application of the adiabatic, time-dependent Hartree-Bogolyubov approximation to a solvable model Krieger, S. J.; Goeke, K. Nuclear Physics A, Vol. 234, Issue 2 https://doi.org/10.1016/0375-9474(74)90562-4	journal	December 1974
Microscopic descriptions of superdeformed bands with the Gogny force: Configuration mixing calculations in the A ∼ 190 mass region Libert, J.; Girod, M.; Delaroche, J. -P. Physical Review C, Vol. 60, Issue 5 https://doi.org/10.1103/PhysRevC.60.054301	journal	September 1999
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
The zero-point energy correction and its effect on nuclear dynamics Girod, M.; Grammaticos, B. Nuclear Physics A, Vol. 330, Issue 1 https://doi.org/10.1016/0375-9474(79)90535-9	journal	October 1979
Structure properties of Th 226 and Fm 256 , 258 , 260 fission fragments: Mean-field analysis with the Gogny force Dubray, N.; Goutte, H.; Delaroche, J. -P. Physical Review C, Vol. 77, Issue 1 https://doi.org/10.1103/PhysRevC.77.014310	journal	January 2008
Nuclear fission with mean-field instantons Skalski, Janusz Physical Review C, Vol. 77, Issue 6 https://doi.org/10.1103/PhysRevC.77.064610	journal	June 2008
Mass parameters in the adiabatic time-dependent Hartree-Fock approximation. II. Results for the isoscalar quadrupole mode Giannoni, M. J.; Quentin, P. Physical Review C, Vol. 21, Issue 5 https://doi.org/10.1103/PhysRevC.21.2076	journal	May 1980
Solution of the Skyrme-Hartree-Fock equations in the Cartesian deformed harmonic oscillator basis I. The method Dobaczewski, J.; Dudek, J. Computer Physics Communications, Vol. 102, Issue 1-3 https://doi.org/10.1016/S0010-4655(97)00004-0	journal	May 1997
Influence of the pairing vibrations on spontaneous fission probability Staszczak, Andrzej; Piłat, Stanisław; Pomorski, Krzysztof Nuclear Physics A, Vol. 504, Issue 3 https://doi.org/10.1016/0375-9474(89)90559-9	journal	November 1989
Self-consistent calculations of fission barriers in the Fm region Warda, M.; Egido, J. L.; Robledo, L. M. Physical Review C, Vol. 66, Issue 1 https://doi.org/10.1103/PhysRevC.66.014310	journal	July 2002
Hartree-Fock-Bogolyubov calculations with the D 1 effective interaction on spherical nuclei Dechargé, J.; Gogny, D. Physical Review C, Vol. 21, Issue 4 https://doi.org/10.1103/PhysRevC.21.1568	journal	April 1980
The generator coordinate method and quantised collective motion in nuclear systems Reinhard, P. -G; Goeke, K. Reports on Progress in Physics, Vol. 50, Issue 1 https://doi.org/10.1088/0034-4885/50/1/001	journal	January 1987
Mass parameters in the adiabatic time-dependent Hartree-Fock approximation. I. Theoretical aspects; the case of a single collective variable Giannoni, M. J.; Quentin, P. Physical Review C, Vol. 21, Issue 5 https://doi.org/10.1103/PhysRevC.21.2060	journal	May 1980
Solution of the Skyrme—Hartree—Fock equations in the Cartesian deformed harmonic oscillator basis II. The program HFODD Dobaczewski, J.; Dudek, J. Computer Physics Communications, Vol. 102, Issue 1-3 https://doi.org/10.1016/S0010-4655(97)00005-2	journal	May 1997
Diabaticity of nuclear motion: problems and perspectives Nazarewicz, W. Nuclear Physics A, Vol. 557 https://doi.org/10.1016/0375-9474(93)90565-F	journal	May 1993
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
Solution of the Skyrme–Hartree–Fock–Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (V) HFODD(v2.08k) Dobaczewski, J.; Olbratowski, P. Computer Physics Communications, Vol. 167, Issue 3 https://doi.org/10.1016/j.cpc.2005.01.014	journal	May 2005
The ground-state equilibrium deformation in rare-earth nuclei Bès, D. R.; Szymański, Z. Nuclear Physics, Vol. 28, Issue 1 https://doi.org/10.1016/0029-5582(61)91034-3	journal	November 1961
Quasiparticle continuum and resonances in the Hartree-Fock-Bogoliubov theory Pei, J. C.; Kruppa, A. T.; Nazarewicz, W. Physical Review C, Vol. 84, Issue 2 https://doi.org/10.1103/PhysRevC.84.024311	journal	August 2011
Relativistic energy density functionals: Low-energy collective states of Pu 240 and Er 166 Li, Z. P.; Nikšić, T.; Vretenar, D. Physical Review C, Vol. 81, Issue 6 https://doi.org/10.1103/PhysRevC.81.064321	journal	June 2010
Microscopic calculations of the inertial mass parameter for fissioning nuclei Sobiczewski, Adam; Szymański, Zdzisław; Wycech, Sławomir Nuclear Physics A, Vol. 131, Issue 1 https://doi.org/10.1016/0375-9474(69)90810-0	journal	June 1969
Derivation of an adiabatic time-dependent Hartree-Fock formalism from a variational principle Brink, D. M.; Giannoni, M. J.; Veneroni, M. Nuclear Physics A, Vol. 258, Issue 2 https://doi.org/10.1016/0375-9474(76)90004-X	journal	February 1976
Solution of the Skyrme–Hartree–Fock–Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. Dobaczewski, J.; Satuła, W.; Carlsson, B. G. Computer Physics Communications, Vol. 180, Issue 11 https://doi.org/10.1016/j.cpc.2009.08.009	journal	November 2009
Nuclear ground-state properties from mean-field calculations Dobaczewski, J.; Nazarewicz, W.; Stoitsov, M. V. The European Physical Journal A, Vol. 15, Issue 1-2 https://doi.org/10.1140/epja/i2001-10218-8	journal	September 2002
Quantized ATDHF: theory and realistic applications to heavy ion fusion Grümmer, F.; Goeke, K.; Reinhardt, P. -G. Time-Dependent Hartree-Fock and Beyond https://doi.org/10.1007/3-540-11950-7_25	book	January 1982
Handbook of Mathematical Functions McQuarrie, Donald A. American Journal of Physics, Vol. 34, Issue 2 https://doi.org/10.1119/1.1972842	journal	February 1966
Fission modes of Fm 256 and Fm 258 in a microscopic approach Bonneau, L. Physical Review C, Vol. 74, Issue 1 https://doi.org/10.1103/PhysRevC.74.014301	journal	July 2006
A microscopic calculation of potentials and mass parameters for heavy-ion reactions Heenen, P. -H.; Flocard, H.; Vautherin, D. Time-Dependent Hartree-Fock and Beyond https://doi.org/10.1007/3-540-11950-7_26	book	January 2005
Skyrme–Hartree–Fock Calculations of Fission Barriers of the Heaviest and Superheavy Nuclei Staszczak, Andrzej; Dobaczewski, Jacek; Nazarewicz, Witold International Journal of Modern Physics E, Vol. 14, Issue 03 https://doi.org/10.1142/S0218301305003181	journal	April 2005
The mass parameters for the average mean-field potential Góźdź, A.; Pomorski, K.; Brack, M. Nuclear Physics A, Vol. 442, Issue 1 https://doi.org/10.1016/0375-9474(85)90131-9	journal	August 1985
Fission half Lives of Fermium Isotopes Within Skyrme Hartree-Fock-Bogoliubov Theory Baran, A.; Staszczak, A.; Nazarewicz, W. International Journal of Modern Physics E, Vol. 20, Issue 02 https://doi.org/10.1142/S0218301311018009	journal	February 2011
An adiabatic time-dependent Hartree-Fock theory of collective motion in finite systems Baranger, M.; Vénéroni, M. Annals of Physics, Vol. 114, Issue 1-2 https://doi.org/10.1016/0003-4916(78)90265-8	journal	September 1978
Self-consistent mean-field models for nuclear structure Bender, Michael; Heenen, Paul-Henri; Reinhard, Paul-Gerhard Reviews of Modern Physics, Vol. 75, Issue 1 https://doi.org/10.1103/RevModPhys.75.121	journal	January 2003
Augmented Lagrangian method for constrained nuclear density functional theory Staszczak, A.; Stoitsov, M.; Baran, A. The European Physical Journal A, Vol. 46, Issue 1 https://doi.org/10.1140/epja/i2010-11018-9	journal	August 2010
Mean-field description of ground-state properties of drip-line nuclei: Pairing and continuum effects Dobaczewski, J.; Nazarewicz, W.; Werner, T. R. Physical Review C, Vol. 53, Issue 6 https://doi.org/10.1103/PhysRevC.53.2809	journal	June 1996

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