Continuity equation and local gauge invariance for the (NLO)L3 nuclear energy density functionals
(2011) In Physical Review C (Nuclear Physics) 84(6). Abstract
 Background: The nexttonexttonexttoleading order ((NLO)L3) nuclear energy density functional extends the standard Skyrme functional with new terms depending on higherorder derivatives of densities, introduced to gain better precision in the nuclear manybody calculations. A thorough study of the transformation properties of the functional with respect to different symmetries is required as a step preliminary to the adjustment of the coupling constants. Purpose: We determine to what extent the presence of higherorder derivatives in the functional can be compatible with the continuity equation. In particular, we study the relations between the validity of the continuity equation and the invariance of the functional under gauge... (More)
 Background: The nexttonexttonexttoleading order ((NLO)L3) nuclear energy density functional extends the standard Skyrme functional with new terms depending on higherorder derivatives of densities, introduced to gain better precision in the nuclear manybody calculations. A thorough study of the transformation properties of the functional with respect to different symmetries is required as a step preliminary to the adjustment of the coupling constants. Purpose: We determine to what extent the presence of higherorder derivatives in the functional can be compatible with the continuity equation. In particular, we study the relations between the validity of the continuity equation and the invariance of the functional under gauge transformations. Methods: We derive conditions for the validity of the continuity equation in the framework of timedependent density functional theory. The conditions apply separately to the four spinisospin channels of the onebody density matrix. Results: We obtained four sets of constraints on the coupling constants of the (NLO)L3 energy density functional that guarantee the validity of the continuity equation in all spinisospin channels. In particular, for the scalarisoscalar channel, the constraints are the same as those resulting from imposing the standard U(1) localgaugeinvariance conditions. Conclusions: The validity of the continuity equation in the four spinisospin channels is equivalent to the localgauge invariance of the energy density functional. For vector and isovector channels, such validity requires the invariance of the functional under local rotations in the spin and isospin spaces. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/2291571
 author
 Raimondi, F. ; Carlsson, Gillis ^{LU} ; Dobaczewski, J. and Toivanen, J.
 organization
 publishing date
 2011
 type
 Contribution to journal
 publication status
 published
 subject
 in
 Physical Review C (Nuclear Physics)
 volume
 84
 issue
 6
 article number
 064303
 publisher
 American Physical Society
 external identifiers

 wos:000297768100002
 scopus:84855363215
 ISSN
 05562813
 DOI
 10.1103/PhysRevC.84.064303
 language
 English
 LU publication?
 yes
 additional info
 The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)
 id
 3f62d9447a974a9cb564cc9bbbd97b2f (old id 2291571)
 date added to LUP
 20160401 14:38:51
 date last changed
 20200112 16:41:28
@article{3f62d9447a974a9cb564cc9bbbd97b2f, abstract = {Background: The nexttonexttonexttoleading order ((NLO)L3) nuclear energy density functional extends the standard Skyrme functional with new terms depending on higherorder derivatives of densities, introduced to gain better precision in the nuclear manybody calculations. A thorough study of the transformation properties of the functional with respect to different symmetries is required as a step preliminary to the adjustment of the coupling constants. Purpose: We determine to what extent the presence of higherorder derivatives in the functional can be compatible with the continuity equation. In particular, we study the relations between the validity of the continuity equation and the invariance of the functional under gauge transformations. Methods: We derive conditions for the validity of the continuity equation in the framework of timedependent density functional theory. The conditions apply separately to the four spinisospin channels of the onebody density matrix. Results: We obtained four sets of constraints on the coupling constants of the (NLO)L3 energy density functional that guarantee the validity of the continuity equation in all spinisospin channels. In particular, for the scalarisoscalar channel, the constraints are the same as those resulting from imposing the standard U(1) localgaugeinvariance conditions. Conclusions: The validity of the continuity equation in the four spinisospin channels is equivalent to the localgauge invariance of the energy density functional. For vector and isovector channels, such validity requires the invariance of the functional under local rotations in the spin and isospin spaces.}, author = {Raimondi, F. and Carlsson, Gillis and Dobaczewski, J. and Toivanen, J.}, issn = {05562813}, language = {eng}, number = {6}, publisher = {American Physical Society}, series = {Physical Review C (Nuclear Physics)}, title = {Continuity equation and local gauge invariance for the (NLO)L3 nuclear energy density functionals}, url = {http://dx.doi.org/10.1103/PhysRevC.84.064303}, doi = {10.1103/PhysRevC.84.064303}, volume = {84}, year = {2011}, }