skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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.

Authors:
ORCiD logo [1]; ORCiD logo [2]
  1. Michigan State Univ., East Lansing, MI (United States)
  2. Univ. Politecnica de Madrid, Madrid (Spain); Univ. Autonoma de Madrid, Madrid (Spain)
Publication Date:
Research Org.:
Michigan State Univ., East Lansing, MI (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1479161
Alternate Identifier(s):
OSTI ID: 1491247
Grant/Contract Number:  
NA0002847
Resource Type:
Journal Article: Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 787; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; Fission; Collective inertias; Generator coordinate method; Adiabatic time dependent Hartree Fock Bogolyubov

Citation Formats

Giuliani, Samuel A., and Robledo, Luis M. Non-perturbative collective inertias for fission: A comparative study. United States: N. p., 2018. Web. doi:10.1016/j.physletb.2018.10.045.
Giuliani, Samuel A., & Robledo, Luis M. Non-perturbative collective inertias for fission: A comparative study. United States. doi:10.1016/j.physletb.2018.10.045.
Giuliani, Samuel A., and Robledo, Luis M. Thu . "Non-perturbative collective inertias for fission: A comparative study". United States. doi:10.1016/j.physletb.2018.10.045.
@article{osti_1479161,
title = {Non-perturbative collective inertias for fission: A comparative study},
author = {Giuliani, Samuel A. and Robledo, Luis M.},
abstractNote = {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.},
doi = {10.1016/j.physletb.2018.10.045},
journal = {Physics Letters. Section B},
issn = {0370-2693},
number = C,
volume = 787,
place = {United States},
year = {2018},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.physletb.2018.10.045

Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

Figures / Tables:

Figure 1 Figure 1: (Color online) Fission results for the nucleus 234U shown as a function of Q20 (b). In panel a) the HFB energy is given. The particle-particle proton (full) and neutron (dashed) energies are plotted. In panels c) and d) the ATDHFB and GCM-GOA inertias, respectively, are shown in themore » perturbative (blue dashed) and nonperturbative (full lines) approaches. In the non-perturbative case, we observe several overlaid curves corresponding to different values of a parameter used in the numeric evaluation of the momentum operator. In panel e) the ratios ATDHFB to GCM-GOA inertias (NP, full line, PE dotted line) and GCM-GOAnp to GCM-GOApe are shown.« less

Save / Share:

Figures / Tables found in this record:

    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.