From uncertainty analysis to a novel functional

by Tiia Haverinen (University of Jyväskylä)

Wednesday 21 Nov 2018, 14:30 → 15:15 Europe/Zurich

Despite the variety of different theoretical approaches, the nuclear density functional theory (DFT) is the only one which can be applied all over the nuclear chart. The key ingredient in DFT is the energy density functional (EDF), which incorporates complicated many-body correlations in a function composed of nuclear densities and currents. Since the parameters of the nuclear EDF cannot be derived within desired accuracy, they need to be adjusted to experimental data. As a result the parameters carry uncertainty which propagates to computed theoretical values of observables. Even though estimation of uncertainties is purely vital for predictions themselves, studies on uncertainty propagation can give valuable insights into the shortcomings of the model. In this presentation I will show how the uncertainty analysis [1] of the UNEDF models [2-4] was done, what kind of conclusions can be made from the analysis, and, finally, I will briefly wrap-up the general ideas of the current work towards a novel EDF.

 

[1] T. Haverinen and M. Kortelainen. J. Phys. G: Nucl. Part. Phys. 44 044008 (2017)
[2] M. Kortelainen et al. Phys. Rev. C 82, 024313 (2010)
[3] M. Kortelainen et al. Phys. Rev. C 85, 024304 (2012)
[4] M. Kortelainen et al. Phys. Rev. C89, 054314 (2014)