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Bandheads of Rotational Bands and Time-Odd Fields

This project focuses on large-scale HFB calculations with various Skyrme functionals to investigate the effects of time-odd fields on deformed rare-earth nuclei and their impact on the excitation energy of rotational bandheads. The study includes the inclusion of all time-odd terms, mixed pairing in the p.p. channel, and accounting for triaxiality effects. The goal is to benchmark the EFA approximation and explore the role of time-odd fields in various nuclear properties.

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Bandheads of Rotational Bands and Time-Odd Fields

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

  2. 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 120Sn average pairing gap and local fit on 162Dy) • Triaxiality effects included • Playground: • Well-deformed rare-earth nuclei • Experimental data is rotational bandheads excitation energy • Motivations: • Effects of time-odd fields • Benchmarking of EFA Test of the quality of the EFA approximation (163Tb, SIII interaction, 14 deformed shells)

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

  4. 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. How to constrain these terms effectively ??? • 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) ?

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