Complexenergy approach to sum rules within nuclear density functional theory
The linear response of the nucleus to an external field contains unique information about the effective interaction, correlations governing the behavior of the manybody system, and properties of its excited states. To characterize the response, it is useful to use its energyweighted 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 energyweighted sum rules of the response that is adaptable to the optimization of the nuclear EDF and largescale surveys of collective strength, we have developed a new technique within the complexenergy finiteamplitude method (FAM) based on the quasiparticle random phase approximation. The proposed sumrule technique based on the complexenergy FAM is a tool of choice when optimizing effective interactions or energy functionals. The method is very efficient and welladaptable 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:

^{[1]};
^{[2]};
^{[3]};
^{[4]}
 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:
 Grant/Contract Number:
 NA0002574; FG0296ER40963; SC0008511; NA0001820; NA0002847
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review. C, Nuclear Physics
 Additional Journal Information:
 Journal Volume: 91; Journal Issue: 4; Journal ID: ISSN 05562813
 Publisher:
 American Physical Society (APS)
 Research Org:
 Michigan State Univ., East Lansing, MI (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (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) (SC26)
 Contributing Orgs:
 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)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
 OSTI Identifier:
 1233546
 Alternate Identifier(s):
 OSTI ID: 1178777; OSTI ID: 1337829
Hinohara, Nobuo, Kortelainen, Markus, Nazarewicz, Witold, and Olsen, Erik. Complexenergy approach to sum rules within nuclear density functional theory. United States: N. p.,
Web. doi:10.1103/PhysRevC.91.044323.
Hinohara, Nobuo, Kortelainen, Markus, Nazarewicz, Witold, & Olsen, Erik. Complexenergy approach to sum rules within nuclear density functional theory. United States. doi:10.1103/PhysRevC.91.044323.
Hinohara, Nobuo, Kortelainen, Markus, Nazarewicz, Witold, and Olsen, Erik. 2015.
"Complexenergy approach to sum rules within nuclear density functional theory". United States.
doi:10.1103/PhysRevC.91.044323. https://www.osti.gov/servlets/purl/1233546.
@article{osti_1233546,
title = {Complexenergy 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 manybody system, and properties of its excited states. To characterize the response, it is useful to use its energyweighted 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 energyweighted sum rules of the response that is adaptable to the optimization of the nuclear EDF and largescale surveys of collective strength, we have developed a new technique within the complexenergy finiteamplitude method (FAM) based on the quasiparticle random phase approximation. The proposed sumrule technique based on the complexenergy FAM is a tool of choice when optimizing effective interactions or energy functionals. The method is very efficient and welladaptable 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 = {2015},
month = {4}
}