Application of the Kerman-Klein method to the solution of a spherical shell model for a deformed rare-earth nucleus

Abstract

Core-particle coupling models are made viable by assuming that core properties such as matrix elements of multipole and pairing operators and excitation spectra are known independently. From the completeness relation, it is seen, however, that these quantities are themselves algebraic functions of the calculated core-particle amplitudes. For the deformed rare-earth nucleus 158Gd, we find that these sum rules are well-satisfied for the ground state band, implying that we have found a self-consistent solution of the non-linear Kerman-Klein equations.

revtex and postscript, including 1 figure(postscript), submitted to Phys.Rev.Lett

References in corpus (6)

• The realistic collective nuclear Hamiltonian
• A Full $PF$ Shell Model Study of a~=~48 Nuclei
• Shell Model Monte Carlo Studies of $\gamma$-Soft Nuclei
• Calculation of the properties of the rotational bands of ${}^{155,157}$Gd
• Possible solution of the Coriolis attenuation problem
• Derivation and assessment of strong coupling core-particle model from the Kerman-Klein-Dönau-Frauendorf theory

Cited by in corpus (2)

• Foundations of self-consistent particle-rotor models and of self-consistent cranking models
• Kerman-Klein-Donau-Frauendorf model for odd-odd nuclei: formal theory