Non-perturbative collective inertias for fission: A comparative study

Giuliani, Samuel A.; Robledo, Luis M.

doi:10.1016/j.physletb.2018.10.045

Title: Non-perturbative collective inertias for fission: A comparative study

Journal Article · Sat Dec 01 00:00:00 EST 2018 · Physics Letters. B

DOI:https://doi.org/10.1016/j.physletb.2018.10.045· OSTI ID:1479161

;

The non-perturbative method to compute Adiabatic Time Dependent Hartree Fock Bogoliubov (ATDHFB) collective inertias is extended to the Generator Coordinate Method (GCM) in the Gaussian overlap approximation (GOA) including the case of density dependent forces. The two inertias schemes are computed along the fission path of the ²³⁴U and compared with the perturbative results. We find that the non-perturbative schemes predict very similar collective inertias with a much richer structure than the one predicted by perturbative calculations. Moreover, the non-perturbative inertias show an extraordinary similitude with the exact GCM inertias computed numerically from the energy overlap. Furthermore, these results indicate that the non-perturbative inertias provide the right structure as a function of the collective variable and only a phenomenological factor is required to mock up the exact GCM inertia, bringing new soundness to the microscopic description of fission.

View Journal Article

Cite

Export

Save

Research Organization:: Michigan State Univ., East Lansing, MI (United States)

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

Grant/Contract Number:: NA0002847

OSTI ID:: 1479161

Alternate ID(s):: OSTI ID: 1491247

Journal Information:: Physics Letters. B, Journal Name: Physics Letters. B Vol. 787 Journal Issue: C; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

Citation Metrics:

Cited by: 14 works

Citation information provided by
Web of Science

References (21)

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
Description of quadrupole collectivity in $N \approx 20$ nuclei with techniques beyond the mean field Rodríguez-Guzmán, R. R.; Egido, J. L.; Robledo, L. M. Physical Review C, Vol. 62, Issue 5 https://doi.org/10.1103/PhysRevC.62.054319	journal	October 2000
Symmetry Restoration in Hartree-Fock-Bogoliubov Based Theories Bertsch, G. F.; Robledo, L. M. Physical Review Letters, Vol. 108, Issue 4 https://doi.org/10.1103/PhysRevLett.108.042505	journal	January 2012
The double-humped fission barrier Bjørnholm, S.; Lynn, J. E. Reviews of Modern Physics, Vol. 52, Issue 4 https://doi.org/10.1103/RevModPhys.52.725	journal	October 1980
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
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
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
An extended gaussian overlap approximation in the generator coordinate method Góźdź, A. Physics Letters B, Vol. 152, Issue 5-6 https://doi.org/10.1016/0370-2693(85)90495-2	journal	March 1985
The mass parameter in the generator coordinate method Fiolhais, C.; Dreizler, R. M. Nuclear Physics A, Vol. 393, Issue 1-2 https://doi.org/10.1016/0375-9474(83)90072-6	journal	January 1983
Collective inertia of the Nambu-Goldstone mode from linear response theory Hinohara, Nobuo Physical Review C, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevC.92.034321	journal	September 2015
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
Analysis of the generator coordinate method in a study of shape isomerism in 194Hg Bonche, P.; Dobaczewski, J.; Flocard, H. Nuclear Physics A, Vol. 510, Issue 3 https://doi.org/10.1016/0375-9474(90)90062-Q	journal	April 1990
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
The limits of nuclear mass and charge Nazarewicz, Witold Nature Physics, Vol. 14, Issue 6 https://doi.org/10.1038/s41567-018-0163-3	journal	June 2018
Nuclear Constitution and the Interpretation of Fission Phenomena Hill, David Lawrence; Wheeler, John Archibald Physical Review, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRev.89.1102	journal	March 1953
Collective mass parameters and linear response techniques in three-dimensional grids Reinhard, P. -G.; Gr�mmer, F.; Goeke, K. Zeitschrift f�r Physik A Atoms and Nuclei, Vol. 317, Issue 3 https://doi.org/10.1007/BF01438367	journal	October 1984
Quadrupole collective inertia in nuclear fission: Cranking approximation Baran, A.; Sheikh, J. A.; Dobaczewski, J. Physical Review C, Vol. 84, Issue 5 https://doi.org/10.1103/PhysRevC.84.054321	journal	November 2011
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
Particle Number Restoration: its Implementation and Impact in Nuclear Structure Calculations Robledo, Luis M. International Journal of Modern Physics E, Vol. 16, Issue 02 https://doi.org/10.1142/S0218301307005776	journal	February 2007
Remarks on the use of projected densities in the density-dependent part of Skyrme or Gogny functionals Robledo, L. M. Journal of Physics G: Nuclear and Particle Physics, Vol. 37, Issue 6 https://doi.org/10.1088/0954-3899/37/6/064020	journal	April 2010
Adiabatic time-dependent Hartree-Fock theory in nuclear physics Villars, F. Nuclear Physics A, Vol. 285, Issue 2 https://doi.org/10.1016/0375-9474(77)90253-6	journal	July 1977