Complex-energy approach to sum rules within nuclear density functional theory
Abstract
The linear response of the nucleus to an external field contains unique information about the effective interaction, correlations governing the behavior of the many-body system, and properties of its excited states. To characterize the response, it is useful to use its energy-weighted moments, or sum rules. By comparing computed sum rules with experimental values, the information content of the response can be utilized in the optimization process of the nuclear Hamiltonian or nuclear energy density functional (EDF). But the additional information comes at a price: compared to the ground state, computation of excited states is more demanding. To establish an efficient framework to compute energy-weighted sum rules of the response that is adaptable to the optimization of the nuclear EDF and large-scale surveys of collective strength, we have developed a new technique within the complex-energy finite-amplitude method (FAM) based on the quasiparticle random- phase approximation. The proposed sum-rule technique based on the complex-energy FAM is a tool of choice when optimizing effective interactions or energy functionals. The method is very efficient and well-adaptable to parallel computing. As a result, the FAM formulation is especially useful when standard theorems based on commutation relations involving the nuclear Hamiltonian and external field cannotmore »
- Authors:
-
- Univ. of Tsukuba, Tsukuba (Japan); Michigan State Univ., East Lansing, MI (United States); Joint Institute of Nuclear Physics and Applications, Oak Ridge, TN (United States)
- Univ. of Jyvaskyla (Finland); Univ. of Helsinki (Finland)
- Michigan State Univ., East Lansing, MI (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Warsaw, Warsaw (Poland)
- Univ. of Tennessee, Knoxville, TN (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Michigan State Univ., East Lansing, MI (United States); Univ. of Tennessee, Knoxville, TN (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Nuclear Physics (NP)
- Contributing Org.:
- Univ. of Jyvaskyla (Finland); Univ. of Helsinki (Finland); Univ. of Warsaw (Poland); Univ. of Tsukuba, Tsukuba (Japan); Joint Inst. of Nuclear Physics and Applications, Oak Ridge, TN (United States)
- OSTI Identifier:
- 1233546
- Alternate Identifier(s):
- OSTI ID: 1178777; OSTI ID: 1337829
- Grant/Contract Number:
- NA0002574; FG02-96ER40963; SC0008511; NA0001820; NA0002847
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C, Nuclear Physics
- Additional Journal Information:
- Journal Volume: 91; Journal Issue: 4; Journal ID: ISSN 0556-2813
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Hinohara, Nobuo, Kortelainen, Markus, Nazarewicz, Witold, and Olsen, Erik. Complex-energy approach to sum rules within nuclear density functional theory. United States: N. p., 2015.
Web. doi:10.1103/PhysRevC.91.044323.
Hinohara, Nobuo, Kortelainen, Markus, Nazarewicz, Witold, & Olsen, Erik. Complex-energy approach to sum rules within nuclear density functional theory. United States. https://doi.org/10.1103/PhysRevC.91.044323
Hinohara, Nobuo, Kortelainen, Markus, Nazarewicz, Witold, and Olsen, Erik. Mon .
"Complex-energy approach to sum rules within nuclear density functional theory". United States. https://doi.org/10.1103/PhysRevC.91.044323. https://www.osti.gov/servlets/purl/1233546.
@article{osti_1233546,
title = {Complex-energy approach to sum rules within nuclear density functional theory},
author = {Hinohara, Nobuo and Kortelainen, Markus and Nazarewicz, Witold and Olsen, Erik},
abstractNote = {The linear response of the nucleus to an external field contains unique information about the effective interaction, correlations governing the behavior of the many-body system, and properties of its excited states. To characterize the response, it is useful to use its energy-weighted moments, or sum rules. By comparing computed sum rules with experimental values, the information content of the response can be utilized in the optimization process of the nuclear Hamiltonian or nuclear energy density functional (EDF). But the additional information comes at a price: compared to the ground state, computation of excited states is more demanding. To establish an efficient framework to compute energy-weighted sum rules of the response that is adaptable to the optimization of the nuclear EDF and large-scale surveys of collective strength, we have developed a new technique within the complex-energy finite-amplitude method (FAM) based on the quasiparticle random- phase approximation. The proposed sum-rule technique based on the complex-energy FAM is a tool of choice when optimizing effective interactions or energy functionals. The method is very efficient and well-adaptable to parallel computing. As a result, the FAM formulation is especially useful when standard theorems based on commutation relations involving the nuclear Hamiltonian and external field cannot be used.},
doi = {10.1103/PhysRevC.91.044323},
journal = {Physical Review C, Nuclear Physics},
number = 4,
volume = 91,
place = {United States},
year = {Mon Apr 27 00:00:00 EDT 2015},
month = {Mon Apr 27 00:00:00 EDT 2015}
}
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Works referencing / citing this record:
Magnetic dipole excitation and its sum rule in nuclei with two valence nucleons
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Energy-weighted sum rule for nuclear density functional theory
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