Higherorder energy density functionals in nuclear selfconsistent theory
In this thesis consisting of two publications and an overview part, a study of
two aspects of energy density functionals has been performed.
Firstly, we have linked the nexttonexttonexttoleading order nuclear energy
density functional to a zerorange pseudopotential that includes all possible
terms up to sixth order in derivatives. Within the HartreeFock approximation,
the quasilocal nuclear Energy Density Functional (EDF) has been calculated
as the average energy obtained from the pseudopotential. The direct reference
of the EDF to the pseudopotential acts as a constraint that allows for expressing
the isovector coupling constants functional in terms of the isoscalar ones, or vice
versa. The constraints implemented in this way imply a reduction by a factor of
two of the number of the free coupling constants in the functional. Three main
applications have been studied: we have considered the functional restricted by
the Galilean symmetry, gauge symmetry, and again Galilean symmetry along
with the spherical symmetry.
As second aspect concerning the nexttonexttonexttoleading order nuclear
energy density functional, we analyzed conditions under which the continuity
equation is valid for functionals or pseudopotentials built of higherorder derivatives.
We derived constraints on the coupling constant of the energy density
functional that guarantee the validity of the continuity equation in all spinisospin
channels. We also linked these constraints to local gauge symmetries
for abelian and nonabelian groups.
...
Publisher
University of JyväskyläISBN
9789513945763ISSN Search the Publication Forum
0075465XContains publications
 Artikkeli I: Raimondi, F., Carlsson, G., & Dobaczewski, J. (2011). Effective pseudopotential for energy density functionals with higherorder derivatives. Physical Review C, 83, 54311. DOI: 10.1103/PhysRevC.83.054311
 Artikkeli II: Raimondi, F., Carlsson, G., Dobaczewski, J., & Toivanen, J. (2011). Continuity equation and local gauge invariance for the N(3)LO nuclear energy density functionals. Physical Review C, 84, 64303. DOI: 10.1103/PhysRevC.84.064303
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