Isospininvariant Skyrme energydensityfunctional approach with axial symmetry
Abstract
Density functional theory (DFT) is the microscopic tool of choice to describe properties of nuclei over the entire nuclear landscape, with a focus on mediummass and heavy complex systems. Modern energy density functionals (EDFs) often offer a level of accuracy typical of phenomenological approaches based on parameters locally fitted to the data. It is clear, however, that in order to achieve high quality of predictions to guide spectroscopic studies, current functionals must be improved, especially in the isospin channel. In this respect, experimental studies of shortlived nuclei far from stability offer a unique test of isospin aspects of the manybody theory. In this study, we develop the isospininvariant SkyrmeEDF method by considering local densities in all possible isospin channels and protonneutron ($pn$) mixing terms as mandated by the isospin symmetry. The EDF employed has the most general form that depends quadratically on the isoscalar and isovector densities. We test and benchmark the resulting $pn$ EDF approach, and study the general properties of the new scheme by means of the cranking in the isospin space. We extend the existing axial DFT solver HFBTHO to the case of isospininvariant EDF approach with all possible $pn$ mixing terms. Explicit expressions have been derivedmore »
 Authors:

 Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy; Joint Institute for HeavyIon Research, Oak Ridge, TN (United States); Univ. of Kashmir, Srinagar (India). Dept. of Physics
 Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy; Joint Institute for HeavyIon Research, Oak Ridge, TN (United States); Univ. of North Carolina, Chapel Hill, NC (United States). Dept. of Physics and Astronomy
 Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy; Univ. of Warsaw, Warsaw (Poland). Inst. of Theoretical Physics, Faculty of Physics; Univ. of Jyväskylä, Jyväskylä (Finland). Dept. of Physics
 RIKEN Nishina Center, Wako (Japan); Univ. of Tsukuba, Tsukuba (Japan). Center for Computational Sciences
 Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy; Univ. of Warsaw, Warsaw (Poland). Inst. of Theoretical Physics, Faculty of Physics; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division
 RIKEN Nishina Center, Wako (Japan)
 Publication Date:
 Research Org.:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Univ. of Tennessee, Knoxville, TN (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC)
 OSTI Identifier:
 1565208
 Grant/Contract Number:
 FG0206ER41407; FG0296ER40963; SC0008499
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review. C, Nuclear Physics
 Additional Journal Information:
 Journal Volume: 89; Journal Issue: 5; Journal ID: ISSN 05562813
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Physics
Citation Formats
Sheikh, J. A., Hinohara, N., Dobaczewski, J., Nakatsukasa, T., Nazarewicz, W., and Sato, K. Isospininvariant Skyrme energydensityfunctional approach with axial symmetry. United States: N. p., 2014.
Web. doi:10.1103/physrevc.89.054317.
Sheikh, J. A., Hinohara, N., Dobaczewski, J., Nakatsukasa, T., Nazarewicz, W., & Sato, K. Isospininvariant Skyrme energydensityfunctional approach with axial symmetry. United States. doi:10.1103/physrevc.89.054317.
Sheikh, J. A., Hinohara, N., Dobaczewski, J., Nakatsukasa, T., Nazarewicz, W., and Sato, K. Mon .
"Isospininvariant Skyrme energydensityfunctional approach with axial symmetry". United States. doi:10.1103/physrevc.89.054317. https://www.osti.gov/servlets/purl/1565208.
@article{osti_1565208,
title = {Isospininvariant Skyrme energydensityfunctional approach with axial symmetry},
author = {Sheikh, J. A. and Hinohara, N. and Dobaczewski, J. and Nakatsukasa, T. and Nazarewicz, W. and Sato, K.},
abstractNote = {Density functional theory (DFT) is the microscopic tool of choice to describe properties of nuclei over the entire nuclear landscape, with a focus on mediummass and heavy complex systems. Modern energy density functionals (EDFs) often offer a level of accuracy typical of phenomenological approaches based on parameters locally fitted to the data. It is clear, however, that in order to achieve high quality of predictions to guide spectroscopic studies, current functionals must be improved, especially in the isospin channel. In this respect, experimental studies of shortlived nuclei far from stability offer a unique test of isospin aspects of the manybody theory. In this study, we develop the isospininvariant SkyrmeEDF method by considering local densities in all possible isospin channels and protonneutron ($pn$) mixing terms as mandated by the isospin symmetry. The EDF employed has the most general form that depends quadratically on the isoscalar and isovector densities. We test and benchmark the resulting $pn$ EDF approach, and study the general properties of the new scheme by means of the cranking in the isospin space. We extend the existing axial DFT solver HFBTHO to the case of isospininvariant EDF approach with all possible $pn$ mixing terms. Explicit expressions have been derived for all the densities and potentials that appear in the isospin representation. In practical tests, we consider the Skyrme EDF SkM* and, as a first application, concentrate on HartreeFock aspects of the problem, i.e., pairing has been disregarded. Calculations have been performed for the ($A = 78, T ≃ 11), (A = 40, T ≃ 8$), and ($A = 48, T ≃ 4$) isobaric analog chains. Isospin structure of selfconsistent $pn$ mixed solutions has been investigated with and without the Coulomb interaction, which is the sole source of isospin symmetry breaking in our approach. The extended axial HFBTHO solver has been benchmarked against the symmetryunrestricted HFODD code for deformed and spherical states. We developed and tested a general isospininvariant SkyrmeEDF framework. The new approach permits spinisospin densities that may give rise to hitherto unexplored modes in the excitation spectrum. The new formalism has been tested in the HartreeFock limit. A systematic comparison between HFODD and HFBTHO results show a maximum deviation of about 10 keV on the total binding energy for deformed nuclei when the Coulomb term is included. Without this term, the results of both solvers agree down to a ~10 eV level.},
doi = {10.1103/physrevc.89.054317},
journal = {Physical Review. C, Nuclear Physics},
number = 5,
volume = 89,
place = {United States},
year = {2014},
month = {5}
}
Web of Science
Figures / Tables:
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