Particle-number conserving analysis for the 2-quasiparticle and high- K multi-quasiparticle states in doubly-odd ^174,176 Lu

Abstract

Two-quasiparticle bands and low-lying excited high-K four-, six-, and eight-quasiparticle bands in the doubly-odd 174,176 Lu are analyzed by using the cranked shell model (CSM) with the pairing correlations treated by a particle-number conserving (PNC) method, in which the blocking effects are taken into account exactly. The proton and neutron Nilsson level schemes for 174,176 Lu are taken from the adjacent odd-A Lu and Hf isotopes, which are adopted to reproduce the experimental bandhead energies of the one-quasiproton and one-quasineutron bands of these odd-A Lu and Hf nuclei, respectively. Once the quasiparticle configurations are determined, the experimental bandhead energies and the moments of inertia of these two-and multiquasiparticle bands are well reproduced by PNC-CSM calculations. The Coriolis mixing of the low-K (K = |Ω1 −Ω2|) two-quasiparticle band of the Gallagher-Moszkowski doublet with one nucleon in the Ω = 1/2 orbital is analyzed.

Shell-model-like approach based on cranking covariant density functional theory with a separable pairing force

“…Originally referred to as the particle-number-conserving (PNC) method [38], SLAP treats pairing correlations and blocking effects exactly by diagonalizing the many-body Hamiltonian in a many-particle configuration (MPC) space with conserved particle number. Based on the cranking Nilsson model, extensive applications for the odd-even differences in moments of inertia [43], identical bands [44,45], nuclear pairing phase transition [46], antimagnetic rotation [47,48], and high-K rotational bands in the rare-earth [49][50][51][52][53][54][55], and actinide [56][57][58] nuclei, have been performed.…”

Shell-model-like approach based on cranking covariant density functional theory: Band crossing and shape evolution in Fe60

“…Shell-model-like approach (SLAP) [44], or originally referred as particle number conserving (PNC) method [45], treats pairing correlations and blocking effects exactly by diagonal-izing the many-body Hamiltonian in a many particle configuration (MPC) space with conserved particle number. Based on the phenomenological cranking Nilsson model, extensive applications for the odd-even differences in moments of inertia [46], identical bands [47,48], nuclear pairing phase transition [49], antimagnetic rotation [50,51], and high-K rotational bands in the rare-earth [52][53][54][55][56][57][58] and actinide nuclei [59][60][61], have been performed. Furthermore, the SLAP has been combined with CDFT [44,62], deformed Woods-Saxon potential [63,64], and the Skyrme density functional [65,66].…”

Investigation of the high-spin rotational properties of the proton emitter 113 Cs using a particle-number conserving method

“…So the particle-number is conserved and the Pauli blocking effects are treated exactly. The PNC-CSM has already been used successfully for describing the odd-even differences in MOI's [29], the identical bands [30][31][32][33], the nonadditivity in MOI's [34][35][36], the nuclear pairing phase transition [37], the high-spin rotational bands in the rareearth [38][39][40][41][42][43][44][45], the actinide and superheavy nuclei [46][47][48][49][50], and the nuclear antimagnetic rotation [51]. Note that the PNC scheme has been implanted both in relativistic and nonrelativistic mean field models [52,53] and the total-Routhian-surface method with the WoodsSaxon potential [54,55].…”