Exponential Models Description of Superdeformed Mercury Nuclei

Abstract

A study of the superdeformed (SD) bands of [189][190][191][192][193][194][195] Hg is carried out within the standard and the modified exponential models. The SD transition energy bands and moments of inertia and the models parameters for these bands are calculated within these two models. Comparison between these two models has been undertaken to implement their validity for these bands. The two models exhibit different behavior at high rotational angular frequency. Both models reproduce well the kinematic moments of inertia in this mass region. At high angular frequency the modified exponential model successfully reproduces the uprising and the down-turn of the dynamic moments of inertia of the studied SD bands. moment of inertia ( (2)J ) is initially rapidly decreasing. Figs 1-4 show that both models fit well the experimental data for the kinematic moments of inertia. FIGURE 1: Comparison between the experimental and theoretical calculation of the Kinematic (1) J (dote) and Dynamic (2) J (circle) moments of inertia versus angular momenta I ( ! ) of Hg superdeformed bands. The modified exponential model (full line) and the standard exponential (dashed line). This figure shows the SD bands exhibiting downturn behavior of (2) J . 308 This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP: 139.184.14.159 On: Tue, 11 Aug 2015 20:42:47 J (circle) moments of inertia versus angular momenta I ( ! ) of Hg superdeformed bands. The modified exponential model (full line) and the standard exponential (dashed line). This figure shows the SD bands exhibiting uprising behavior of (2)