2019 Impact factor 2.176
Hadrons and Nuclei
Eur. Phys. J. A 15, 455-458 (2002)
DOI: 10.1140/epja/i2002-10051-7

In-band and inter-band $\mth{B (E2)}$ values within the Triaxial Projected Shell Model

P. Boutachkov1, A. Aprahamian1, Y. Sun1, 2, 3, J.A. Sheikh4 and S. Frauendorf1

1  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 $\gamma$- and $\gamma\gamma$-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 $\gamma$-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 $\gamma$-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 - $150 \leq A \leq 189$ .

© Società Italiana di Fisica, Springer-Verlag 2002