Self-consistency in the Projected Shell Model

Abstract

The Projected Shell Model is a shell model theory built up over a deformed BCS mean field. Ground state and excited bands in even-even nuclei are obtained through diagonalization of a pairing plus quadrupole Hamiltonian in an angular momentum projected 0-, 2-, and 4-quasiparticle basis. The residual quadrupole-quadrupole interaction strength is fixed self-consistently with the deformed mean field and the pairing constants are the same used in constructing the quasiparticle basis. Taking ${}^{160}Dy$ as an example, we calculate low-lying states and compare them with experimental data. We exhibit the effect of changing the residual interaction strengths on the spectra. It is clearly seen that there are many $J^{\pi }=0^{+},1^{+},4^{+}$ bandheads whose energies can only be reproduced using the self-consistent strengths. It is thus concluded that the Projected Shell Model is a model essentially with no free parameters.

13 pages, 10 figures, submitted to Nuclear Physics A

Cited by in corpus (8)

• Multi-Phonon $\gamma$-Vibrational Bands and the Triaxial Projected Shell Model
• Ideal magnetohydrodynamic simulations of unmagnetized dense plasma jet injection into a hot strongly magnetized plasma
• Backbending in Dy isotopes within the Projected Shell Model
• Theoretical Constraints for Observation of Superdeformed Bands in the Mass-60 Region
• Band Crossing and Signature Splitting in Odd Mass fp Shell Nuclei
• Infinitesimal cranking for triaxial angular-momentum-projected configuration-mixing calculation and its application to the gamma vibrational band
• Description of collective and quasiparticle excitations in deformed actinide nuclei: The first application of the Heavy Shell Model
• SU(3) versus deformed Hartree-Fock