Particle-number conserving analysis of the high- K multi-quasiparticle bands in ¹⁷⁹ Re

Abstract

The experimentally observed ten rotational bands in 179Re are analyzed with the particle-number conserving method for treating the cranked shell model with pairing interaction, in which the blocking effects are taken into account exactly. The experimental moments of inertia of these bands are reproduced quite well by our calculations with no free parameter and the deformation driving effects are discussed. The bandhead energies and the variation in the occupation probability of each cranked orbital are also analyzed.

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].…”

Investigation of the Mg isotopes using the shell-model-like approach in relativistic mean field theory

“…The SLAP has already been implemented in the relativistic mean field (RMF+SLAP) model [35]. SLAP has been employed successfully for describing odd-even differences in moments of inertia (MOIs) [36], the nonadditivity in MOIs [37,38], the identical bands [39,40], the nuclear pairing phase transition [41,42], the rotational bands and high-K isomers in the rare-earth [43][44][45][46][47][48], the actinide region and superheavy nuclei [49][50][51][52], the cluster structures of light nuclei [53] and the nuclear antimagnetic rotation [54]. Due to a wide span of neutron numbers including 8, 20 and 28 magic numbers, the Mg isotope chain has abundant exotic structures, e.g., island of inversion [55], and halo structure [56,57], etc.…”