Abstract
INVESTIGATION OF THE XENON AND BARIUM ISOTOPES
Ramesh Kumar*
ABSTRACT
It was found that in conventional IBM, no permanent triaxial deformation is possible in any of the three limits: U (5), SU (3) and O (6). But in the O (6) limit, the energy functional is independent of ?. Such a system is gamma unstable and will execute large oscillations in gamma. The average value of the variable may not be zero. In this sense the O (6) limit of IBM is related to the occurrence of triaxialty. Besides, the O (6) nuclei belong to the transitional region and triaxiality is known to occur in this region. In 1956, wilets and Jean.[1] proposed a geometrical model of gamma unstable nuclei. Meyer-Ter-Vehn [2] showed that the O (6) limit of the IBM corresponds to the gamma unstable model of Wilets and Jean in the limit of infinite boson number. The two models yield identical BE (2) values for boson number N->?. Thus, the nuclei belonging to the O (6) dynamical symmetry of IBM is of special importance in the study of triaxiality.
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