Higher-order energy density functionals in nuclear self-consistent theory

DSpace/Manakin Repository

Show simple item record

dc.contributor.author Raimondi, Francesco
dc.date.accessioned 2012-10-26T07:19:38Z
dc.date.available 2012-10-26T07:19:38Z
dc.date.issued 2011
dc.identifier.isbn 978-951-39-4576-3
dc.identifier.uri http://urn.fi/URN:ISBN:978-951-39-4576-3 en
dc.identifier.uri http://hdl.handle.net/123456789/40104
dc.description.abstract 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. fi
dc.format.extent Verkkokirja (104 s.)
dc.language.iso eng
dc.publisher University of Jyväskylä
dc.relation.ispartofseries Research report / Department of Physics, University of Jyväskylä;0075-465X ;no. 10/2011
dc.subject.other nuclear energy density functionals fi
dc.subject.other continuity equation fi
dc.subject.other bioceramics fi
dc.subject.other pseudopotentials fi
dc.title Higher-order energy density functionals in nuclear self-consistent theory fi
dc.type Diss. fi
dc.identifier.urn URN:ISBN:978-951-39-4576-3
dc.subject.ysa ydinenergia
dc.subject.kota 114
dc.type.dcmitype Text en
dc.type.ontasot Väitöskirja fi
dc.type.ontasot Doctoral dissertation en
dc.contributor.tiedekunta Matemaattis-luonnontieteellinen tiedekunta fi
dc.contributor.tiedekunta Faculty of Mathematics and Science en
dc.contributor.yliopisto University of Jyväskylä en
dc.contributor.yliopisto Jyväskylän yliopisto fi

This item appears in the following Collection(s)

Show simple item record