Characteristics of Energy States and their Calculation Using IBM-1 and IVBM of Isotones 180HF, 182W, 184Os, 186Pt

Abstract

The positive ground-state band (GSB) of isotones for N = 108 has been calculated using the Interacting Bosons Model (IBM-1), and Interacting Vector Boson Model (IVBM), while the negative-parity band (NPB) of , has been calculated using the (IVBM). since (IBM-1) have different calculation according to the characteristics of each nucleus, these characteristics were identified using different method, Plotting the relation of the moment of inertia ( ) against the rotational frequency of the emitted photons ( ) during nuclear transition between different energy states were determined, The calculation shows that nucleus do not have any back-bending effect which indicates that its characteristics have not changed, While have a back-bending which indicate that a change in their characteristics. Also using the relation between different excited states energies to their preceding values, one can determine the characteristic of each nucleus which shows a rotational characteristics for nucleus, while have transitional characteristics between the two vibrational and rotational challenges, To get to know the characteristics of the nucleus more accurately the relation of the gamma energy over spin ( ) as a function of the spin (I) E-GOS was drown, the calculation showed pure rotational characteristic for nucleus, While the nuclei have gamma soft O(6) characteristic, When staggering phenomena between (NPB) and (GSB) has been studied, The contour plot show that nucleus did not reach zero value which refer to the constancy of their characteristics.