Eur. Phys. J. A 15, 455-458 (2002)
DOI: 10.1140/epja/i2002-10051-7

In-band and inter-band values within the Triaxial Projected Shell Model

P. Boutachkov¹, A. Aprahamian¹, Y. Sun^{1, 2, 3}, J.A. Sheikh⁴ and S. Frauendorf<sup>1

1</sup>  Department of Physics, University of Notre Dame, Notre Dame, IN 46556, USA
²  Department of Physics and Astronomy, University of Tennessee, Knoxville, TN 37996, USA
³  Department of Physics, Xuzhou Normal University, Xuzhou, Jiangsu 221009, PRC
⁴  Physik-Department, Technische Universität München, D-85747 Garching, Germany

ysun@nd.edu

(Received: 21 May 2002 / Published online: 10 December 2002)

Abstract
The Triaxial Projected Shell Model (TPSM) has been successful in providing a microscopic description of the energies of multi-phonon vibrational bands in deformed nuclei. We report here on an extension of the TPSM to allow, for the first time, calculations of B(E2) values connecting - and -vibrational bands and the ground-state band. The method is applied to ^166,168Er. It is shown that most of the existing B(E2) data can be reproduced rather well, thus strongly supporting the classification of these states as -vibrational states. However, significant differences between the data and the calculation are seen in those B(E2) values which involve odd-spin states of the -band. Understanding these discrepancies requires accurate experimental measurements and perhaps further improvements of the TPSM.

PACS
21.60.Cs - Shell model.
21.10.Re - Collective levels.
21.10.Ky - Electromagnetic moments.
27.70.+q - .

© Società Italiana di Fisica, Springer-Verlag 2002