Furong Xu Rotations of multi-quasiparticle high-K states 北京大学 Peking University Outline I.Introduction II.Rotations built on excited configurations Deformation-pairing.

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Presentation transcript:

Furong Xu Rotations of multi-quasiparticle high-K states 北京大学 Peking University Outline I.Introduction II.Rotations built on excited configurations Deformation-pairing self-consistent cranking Skyrme HF pairing III. Summary SDANCA-15, Sofia, Bulgaria (Oct. 8-10, 2015)

Collective rotations Intrinsic: 1) all single particles paired (even-even GSB) 2) Some single particles excited (sidebands) Collective rotations of excited configurations

D.M. Cullen, et al., Nucl. Phys.A 673, 3 (2000)

Recently, we have developed deformation-pairing self-consistent configuration- constrained calculations: 1.Configuration-constrained Woods-Saxon TRS with particle-number- conserved pairing (PNC pairing). 2.Configuration-constrained cranking Skyrme HF calculations with PNC pairing (today’s talk). Previously, we developed the configuration-constrained PES based on BCS (LN) pairing for multi-qp high-K states, with Phil Walker and Ramon Wyss et al., well reproduce energies, deformations, g-factors… BUT cranking Bogoliubov pairing encounters non-convergence problem for excited configurations.

II: Configuration-constrained cranking Skyrme HF pairing calculations Cranking HF single particles Using Wick’s theorem, the Hamiltonian can be rewritten as Colon “:” indicates the normally-ordered products of the creation and annihilation operators: make zero in right hand.

In cranked deformed HF single-particle basis Particle channels Hole channels Residual two-body interactions Approximating: Similar to shell model, diagonalize the full Hamiltonian in the cranked deformed HF basis which gives a small but efficient model space for the diagonalization.

(in non-cranked deformed time-reversed basis) Single-particle HF Routhian PNC pairing adopts the concept of shell model: 1. Residual two-body interaction takes pairing; 2. In cranked deformed basis; 3. Angular moment is created by cranking. Zeng, Jin, Zhao, PRC 50, 1388 (1994)

Calculations yrast rotation Cranking Skyrme Hartree-Fock + PNC pairing: HFP 1)Run HFODD (no-pairing cranking Skyrme HF): deformation variable self-consistently; J. Dobaczewski and J. Dudek, Comput. Phys. Commun. 102, 166 (1997) 2) In deformed CSHF basis, do shell model with pairing (PNC, configuration mixing) The CSHF basis gives a small but efficient model space !

Collective rotations of broken-pair excited configurations Band mixing Cranking Skyrme HFP calculations

A.B. Yayes et a., IJMPE 20, 471 (2011)

Density Iteration (DI) Such density iteration is much time-consuming

Energy calculations with HFP (cranking Skyrme HF Pairing)

Alignment in Proton h 9/2 alignment: Almehed, Frauendorf, Donau, PRC63, (2001) : at ZY Wei and SX Liu, Comm. Thor. Phys. 50, 715 (2008) Neutron i 13/2 alignment Frauendorf, Neergard, Sheikh, Walker, PRC 61, (2000); Present: support the neutron i 13/2 alignment Reason: negative γ appears and β 2 decreases.

III. Summary We have developed the deformation-pairing self-consistent configuration- constrained cranking Skyrme HF calculation. 1)particle-number-conserved pairing and configuration mixings; 2)shell-model methodology diagonalizing in a small but efficient space; 3)has been successfully applied to sidebands, agreeing with data well.

Collaborators: W.Y. Liang and X.M. Fu (Peking University) Acknowledgements: P. Walker (Univ. Surrey) R. Wyss (KTH)

Thank you for your attention SDANCA-15, Sofia, Bulgaria (Oct. 8-10, 2015) 16