Description Of Superdeformed Bands Of The Isotones N=113 For Nuclear Mass Region A Similar To 190

Electric quadrupole gamma-ray transition energies E-gamma, rotational frequencies (h) over bar (omega) and dynamic J((2)) and kinematic J((1)) moments of inertia have been calculated for yrast and excited superdeformed (SD) bands in Hg, Tl, Pb isotonic (N = 113) nuclei by using two-parameter power-lawformula. Themodel parameters and the bandhead spins were determined using a chi(2) fit by random minimization via Monte Carlo simulation technique with a uniform distribution of random numbers. The calculated results of E-gamma agreed with the experimental data published in National Nuclear Data Center (nndc) very well, and present assigned spins of the studied superdeformed rotational bands (SDRB's) are consistent with the spins suggested by other previous formulae. The majority of the studied SD bands displayed the same large, smooth increase in J((2)) by increasing (h) over bar (omega). A saturation of J(2) at higher values of (h) over bar (omega) was observed for the two bands (1, 2) in Pb-195 due to the Pauli blocking of the quasineutron alignment in the presence of quasiproton alignment. The studied SD bands exhibited staggering in their transition energies. Five pairs of signature partner SDRBs exhibited an Delta I = 1 staggering effect in their transition energies, namely Hg-193 (SD1, SD2), Hg-193 (SD3, SD4), Tl-194 (SD1, SD2), Pb-195 (SD1, SD2), and Pb-195 (SD3, SD4). To investigate this Delta I = 1 staggering, we extracted the difference between the average transition I + 2 -> I and I -> I - 2 energies in one band and the transition I + 1 -> I - 1 energies in the signature partner. Also, Delta I = 2 staggering exists in three SD bands of odd-odd Tl-194. This Delta I = 2 staggering effect was determined by calculating the energy difference between two consecutive gamma-ray transitions as a function of rotational frequency after subtracting a smooth reference expressed in the notation of Cederwall.