Realistic description of the rotational bands in rare earth nuclei by angular-momentum-projected multi-cranked configuration-mixing method

Abstract

Recently we have proposed a reliable method to describe the rotational band in a fully microscopic manner. The method has recourse to the configuration-mixing of several cranked mean-field wave functions after the angular-momentum-projection. By applying the method with the Gogny D1S force as an effective interaction, we investigate the moments of inertia of the ground state rotational bands in a number of selected nuclei in the rare earth region. As another application we try to describe, for the first time, the two-neutron aligned band in ${}^{164}$Er, which crosses the ground state band and becomes the yrast states at higher spins. Fairly good overall agreements with the experimental data are achieved; for nuclei, where the pairing correlations are properly described, the agreements are excellent. This confirms that the previously proposed method is really useful for study of the nuclear rotational motion.

References in corpus (5)

• Symmetry conserving configuration mixing method with cranked states
• Cranked Skyrme-Hartree-Fock calculation for superdeformed and hyperdeformed rotational bands in N=Z nuclei from 32S to 48Cr
• Efficient method to perform quantum number projection and configuration mixing for most general mean-field states
• Angular momentum projected multi-cranked configuration mixing for reliable calculation of high-spin rotational bands
• Infinitesimal cranking for triaxial angular-momentum-projected configuration-mixing calculation and its application to the gamma vibrational band

Cited by in corpus (10)

• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Symmetry restoration in mean-field approaches
• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• Rotational motion of triaxially deformed nuclei studied by microscopic angular-momentum-projection method II: Chiral doublet band
• Rotational motion of triaxially deformed nuclei studied by microscopic angular-momentum-projection method I: Nuclear wobbling motion
• Generator coordinate method with a conjugate momentum: application to the particle number projection
• Simultaneous analysis of matter radii, transition probabilities, and excitation energies of Mg isotopes by angular-momentum-projected configuration-mixing calculations
• Configuration interaction projected density functional theory: effects of four-quasiparticle configurations and time-odd interactions
• Applications of the dynamical generator coordinate method to quadrupole excitations
• Importance of multicranked configuration mixing for angular-momentum-projection calculations: Study of superdeformed rotational bands in ${}^{152}$Dy and ${}^{194}$Hg