Configuration-constrained total Routhian surfaces with particle-number-conserving pairing

Irregularity inKπ=8−rotational bands ofN=150isotones

“…In the present work, we employ particle-number-conserving (PNC) method to treat the pairing correlation (see Refs. [29,35] for details). In pairing calculations, only the monopole pairing is considered with the pairing strength G determined by odd-even mass difference using a five-point formula [36], which includes mean-field and blocking effects [37].…”

“…In pairing calculations, only the monopole pairing is considered with the pairing strength G determined by odd-even mass difference using a five-point formula [36], which includes mean-field and blocking effects [37]. Note that the PNC pairing method always leads to a converged solution of the cranking shell model Hamiltonian even for a broken-pair state, while the conventional cranked HFB model does not in many cases [29].…”

“…Otherwise, one would need to invoke two different types of operators: quasiparticle operators for paired particles and real-particle operators for unpaired particles. The PNC pairing method [29,35] used in the present work follows the merit of "standard" shell model, which guarantees the conservation of the particle number. The wave functions are expressed by all possible shell-model configurations keeping the specific single-particle orbits occupied (which specifies the given state).…”

“…More recently, rotational bands built on the 8 − isomers were observed in 252 No [10] and 250 Fm [8], which exhibit some irregularities in the moments of inertia (MoI) [10]. In this paper, we use the newly developed configuration-constrained total-Routhiansurface (CCTRS) method [29] to investigate multiparticle high-K rotational bands in the N = 150 isotones, with special focus on the abnormal feature in the K π = 8 − bands.…”

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

“…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]. Very recently, PNC method based on the cranking Skyrme-Hartree-Fock model has been developed [56].…”