Uncertainty analysis and symmetry restoration in nuclear selfconsistent methods
This thesis contains two articles, in the following denoted by I and II, and an introduction to
them. In Chapter 1, I present the theoretical models of nuclear structure. In Chapter 2, I introduce
the basic ideas about the density functional theory (DFT) and selfconsistent meanfield
(SCMF) calculations. In Chapter 3, I give the formulae for the uncertainty propagation, which
is the error analysis method used in article I. As a proper tool to survey the predictive power
of theoretical models, the error analysis now has become more and more widely used. By analyzing
the propagation of uncertainties, one tries to find out the e ectiveness of the calculation
with a given parameter set obtained from optimization. In Chapter 4, I present the theoretical
framework of the Lipkin method used in article II. This method can be considered as an approximation
of the variationafterprojection method. In Chapter 6, I brie
y review the main
results of articles I and II. In the Appendices, I give some useful details and derivations.
...
Publisher
University of JyväskyläISBN
9789513963743ISSN Search the Publication Forum
0075465XContains publications
 Artikkeli I: Gao, Y., Dobaczewski, J., Kortelainen, M., Toivanen, J., & Tarpanov, D. (2013). Propagation of uncertainties in the Skyrme energydensityfunctional model. Physical Review C, 87(3), Article 034324. DOI: 10.1103/PhysRevC.87.034324
 Artikkeli II:Gao, Y., Dobaczewski, J. & Toivanen, P. Approximate restoration of translational and rotational symmetries within the Lipkin method. Arxiv preprint
Keywords
Metadata
Show full item recordCollections
 Väitöskirjat [3465]
Related items
Showing items with similar title or keywords.

Precision measurement of the magnetic octupole moment in 45Sc as a test for stateoftheart atomic and nuclearstructure theory
de Groote, R.P.; Moreno, J.; Dobaczewsk,i J.; Koszorús, Á.; Moore, I.; Reponen, M.; Sahoo, B.K.; Yuan, C. (Elsevier BV, 2022)We report on measurements of the hyperfine A, B and C constants of the 3d4s2 2 D5/2 and 3d4s2 2 D3/2 atomic states in 45Sc. Highprecision atomic calculations of the hyperfine fields of these states and secondorder ... 
Impact of the surface energy coefficient on the deformation properties of atomic nuclei as predicted by Skyrme energy density functionals
Ryssens, W.; Bender, M.; Bennaceur, Karim; Heenen, P.H.; Meyer, J. (American Physical Society, 2019)Background: In the framework of nuclear energy density functional (EDF) methods, many nuclear phenomena are related to the deformation of intrinsic states. Their accurate modeling relies on the correct description of the ... 
A SelfConsistent Charge DensityFunctional TightBinding Parameterization for PtRu Alloys
Shi, Hongbo; Koskinen, Pekka; Ramasubramaniam, Ashwin (American Chemical Society, 2017)We present a selfconsistent charge densityfunctional tightbinding (SCCDFTB) parametrization for PtRu alloys, which is developed by employing a training set of alloy cluster energies and forces obtained from Kohn–Sham ... 
Higherorder energy density functionals in nuclear selfconsistent theory
Raimondi, Francesco (University of Jyväskylä, 2011)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 ... 
Towards a novel energy density functional for beyondmeanfield calculations with pairing and deformation
Haverinen, Tiia; Kortelainen, Markus; Dobaczewski, J.; Bennaceur, K. (Jagellonian University, 2019)We take an additional step towards the optimization of the novel finiterange pseudopotential at a constrained Hartree–Fock–Bogolyubov level and implement an optimization procedure within an axial code using harmonic ...