Bandheads of Rotational Bands and Time-Odd Fields UTK-ORNL DFT group

Outline Work:  Large-scale HFB calculations with various Skyrme functionals  All time-odd terms included  Mixed pairing in the p.p. channel (with two flavors: fit on 120 Sn average pairing gap and local fit on 162 Dy)  Triaxiality effects included Blocked StateEFA (HFBTHO)Exact (HFODD) [ 4, 2, 2]3/ [ 4, 2, 0]1/ [ 4, 1, 3]5/ [ 4, 1, 1]3/ [ 4, 1, 1]1/ [ 4, 0, 4]7/ [ 4, 0, 4]9/ [ 5, 4, 1]3/ ( ) [ 5, 4, 1]1/ [ 5, 2, 3]7/ [ 5, 3, 2]5/ [ 5, 3, 0]1/ [ 5, 1, 4]9/ Test of the quality of the EFA approximation ( 163 Tb, SIII interaction, 14 deformed shells) Playground:  Well-deformed rare-earth nuclei  Experimental data is rotational bandheads excitation energy Motivations:  Effects of time-odd fields  Benchmarking of EFA

Results Triaxiality Impact of time-odd fields on q.p. energies (systematics) Impact of time-odd fields on q.p. energies (different schemes) Impact of time-odd fields on  (3)

Conclusions – Future Plans  Time-odd fields negligible for most g.s. properties (including masses, q.p. excitation spectrum,  (3), …)  BUT… known to play a role in cranking, TDHF, GT resonance, etc. Comparison with experiment:  Most Skyrme interaction have “wrong” level density  q.p. spectrum good qualitatively but insufficient quantitatively  Performing a SVD on odd-even g.s. could be very useful to probe sensitivity of time-odd coupling constants  Treatment of pairing is crucial: why not begin with including Coulomb and CM pairing (which are always there irrespective of the p-p functional) ? How to constrain these terms effectively ???