Properties of signature partner superdeformed bands in mercury nuclei

Abstract

The properties of superdeformed (SD) bands of five pairs signature partners in mercury nuclei have been systematically analyzed in framework of four parameters formula including higher order terms of Bohr-Mottelson collective rotational energies. The level spins and the model parameters are determined by fitting procedure using a computer simulated search program in order to obtain minimum root mean square deviations between the calculated and the experimental transition energies.The best fitted parameters have been used to calculate the transition energies E_γ, the rotational frequencies , the kinematic J⁽¹⁾ and dynamic J⁽²⁾ moments of inertia. The calculated results agree excellently with the experimental data. J⁽²⁾ is significantly larger than J⁽¹⁾ for all values of  . Also J⁽²⁾ show a smooth increase with increasing . The appearance of ΔI = 1 and ΔI = 2 staggering in γ-ray transition energies have been examined by using the five-points formula representing the finite difference approximation to the fourth derivative of the γ-ray transition energies at a given spin. The signature partners in Hg nuclei show large amplitude staggering. Also to appear the ΔI = 1 staggering, the transition energies relative to a rigid rotor with a moment of inertia J = 128.219 are plotted against spins for each signature partner pairs. The difference in transition energies between transitions in the two SD bands ¹⁹¹Hg(SD3)and ¹⁹³Hg(SD3) are small, therefore, these two bands have been considered as identical bands.