Derivation and assessment of strong coupling core-particle model from the Kerman-Klein-Dönau-Frauendorf theory

Abstract

We review briefly the fundamental equations of a semi-microscopic core-particle coupling method that makes no reference to an intrinsic system of coordinates. We then demonstrate how an intrinsic system can be introduced in the strong coupling limit so as to yield a completely equivalent formulation. It is emphasized that the conventional core-particle coupling calculation introduces a further approximation that avoids what has hitherto been the most time-consuming feature of the full theory, and that this approximation can be introduced either in the intrinsic system, the usual case, or in the laboratory system, our preference. A new algorithm is described for the full theory that largely removes the difference in complexity between the two types of calculation. Comparison of the full and approximate theories for some representative cases provides a basis for the assessment of the accuracy of the traditional approach. We find that for well-deformed nuclei, e.g. 157Gd and 157Tb, the core-coupling method and the full theory give similar results.

revtex, 3 figures(postscript), submitted to Phys.Rev.C

References in corpus (3)

• Calculation of the properties of the rotational bands of ${}^{155,157}$Gd
• Further application of a semi-microscopic core-particle coupling method to the properties of Gd155,157, and Dy159
• Application of a semi-microscopic core-particle coupling method to the backbending in odd deformed nuclei

Cited by in corpus (4)

• Possible solution of the Coriolis attenuation problem
• Foundations of self-consistent particle-rotor models and of self-consistent cranking models
• Kerman-Klein-Donau-Frauendorf model for odd-odd nuclei: formal theory
• Application of the Kerman-Klein method to the solution of a spherical shell model for a deformed rare-earth nucleus