Jacek Dobaczewski Jacek Dobaczewski University of Warsaw & University of Jyväskylä ectroscopic-quality energy densi functional and how to get there DFT-UNEDF Workshop Joint Institute for Heavy Ion Research, ORNL, Oak Ridge, TN-37831, USA January 22, 2008 äskylä: Gillis Carlsson, Markus Kortelainen , Kazuhito Mizuyama, Jussi Toiva saw: Wojtek Satuła, Tomek Werner, Maciek Zalewski
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Jacek Dobaczewski University of Warsaw & University of Jyväskylä
Spectroscopic-quality energy density functional and how to get there. Jacek Dobaczewski University of Warsaw & University of Jyväskylä. Jyväskylä : Gillis Carlsson, Markus Kortelainen , Kazuhito Mizuyama, Jussi Toivanen Warsaw : Wojtek Satuła, Tomek Werner, - PowerPoint PPT Presentation
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Jacek Dobaczewski
Jacek DobaczewskiUniversity of Warsaw & University of Jyväskylä
Spectroscopic-quality energy densityfunctional and how to get there
DFT-UNEDF WorkshopJoint Institute for Heavy Ion Research, ORNL,
Oak Ridge, TN-37831, USAJanuary 22, 2008
Jyväskylä: Gillis Carlsson, Markus Kortelainen, Kazuhito Mizuyama, Jussi ToivanenWarsaw: Wojtek Satuła, Tomek Werner, Maciek Zalewski
Jacek Dobaczewski
Outline
1. The Matrix for SkP.2. Dependence of single-particle energies on
coupling constants.3. Fits of spin-orbit and tensor coupling
constants.4. Error analysis in mass fits.5. Extensions in density dependence and
stability conditions.6. Extensions to higher powers of
derivatives.7. Extensions to higher powers of densities.
Jacek Dobaczewski
The bottom line
1. Spectroscopic-quality energy density functional correct description of positions and evolution of single-particle levels.
2. Single-particle levels correct description of one-particle separation energies with all polarization effects included.
3. Within the EDF method, shape and spin polarization effects in doubly-magic nuclei are relatively small – much smaller than deviations from data.
4. Dependence of total and single-particle energies on coupling constants is very linear.
5. No fits without error estimates and error propagation!
6. Extensions beyond the simple Skyrme functionals are mandatory.
Jacek Dobaczewski
Skyrme binding energy, saturation
density incompressibility,
enhancement factor, isospin symmetry
energy at 0 and 0/2;
(6 parameters)
Effective Mass
Skyrme surface energy
Spin-orbit strength W0
Average pairing matrix
element
NM binding energy saturation density incompressibility,