Angular momentum projected multi-cranked configuration mixing for reliable calculation of high-spin rotational bands

Abstract

By employing the angular momentum projection technique we propose a method to reliably calculate the quantum spectrum of nuclear collective rotation. The method utilizes several cranked mean-field states with different rotational frequencies and they are superposed in the sense of the configuration mixing or the generator coordinate method, after performing the projection; the idea was originally suggested by Peierls-Thouless in 1962. It is found that the spectrum as a result of the configuration mixing does not essentially depend on chosen sets of cranking frequencies if the number of mean-field states utilized in the mixing is larger than a certain small value. We apply this method to three examples employing the Gogny D1S effective interaction and show that it is useful to study high-spin rotational bands by means of the angular momentum projection method.

32 pages, 25 figures. Revised; mistake was found and corrected in calculation of 164Er; new figures and sentences are added by a request of journal (B(E2), mixing probability)

References in corpus (4)

• Particle-Number Projection and the Density Functional Theory
• Angular momentum projection of cranked Hartree-Fock states: Application to terminating bands in A~44 nuclei
• Tetrahedral symmetry in Zr nuclei: Calculations of low-energy excitations with Gogny interaction
• Nuclear tetrahedral states and high-spin states studied using quantum number projection method

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• 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
• Infinitesimal cranking for triaxial angular-momentum-projected configuration-mixing calculation and its application to the gamma vibrational band
• Realistic description of the rotational bands in rare earth nuclei by angular-momentum-projected multi-cranked configuration-mixing method
• Simultaneous analysis of matter radii, transition probabilities, and excitation energies of Mg isotopes by angular-momentum-projected configuration-mixing calculations
• 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