Higher-order energy density functionals in nuclear self-consistent 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 next-to-next-to-next-to-leading order nuclear energy
density functional to a zero-range pseudopotential that includes all possible
terms up to sixth order in derivatives. Within the Hartree-Fock approximation,
the quasi-local 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 next-to-next-to-next-to-leading order nuclear
energy density functional, we analyzed conditions under which the continuity
equation is valid for functionals or pseudopotentials built of higher-order 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 non-abelian groups.
...


Publisher
University of JyväskyläISBN
978-951-39-4576-3ISSN Search the Publication Forum
0075-465XContains publications
- Artikkeli I: Raimondi, F., Carlsson, G., & Dobaczewski, J. (2011). Effective pseudopotential for energy density functionals with higher-order 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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