Identification of Bandhead Spin and Identical Bands for Odd-A Nuclei in $Asim190$ Superdeformed Mass Region

The dynamical moment of inertia is estimated with its even-powerexpansion of the rotational frequency and in accordance we determine theintermediate spins of the superdeformed (SD) rotational bands. UsingMarquardt method of nonlinear least-squares routines, we determine theexpansion coefficients by fitting the proposed dynamical moment of inertiawith its recent experimental data of the SD nuclei in the A=190 mass region.The comparison between our theoretical and available experimental data forthe dynamic moment of inertia and spin shows good agreements.Also, we have calculated the static moment of inertia at three alternativevalues of spin. The value of spin at which the two moments of inertia arenearly equals is to be regarded as a bandhead spin of the correspondingband. These studies are carried out for eighteen bands of odd-A nuclei ofthe superdeformed region 190, namely ¹⁸⁹Hg(b1), ¹⁹¹Hg(b1, b2, b3,b4), ¹⁹³Hg(b2, b3, b5), ¹⁹⁵Hg(b1, b2, b3, b4), ¹⁹³Tl(b1, b2,b3, b5), ¹⁸⁹Tl(b1), and ¹⁹⁷Bi(b1). We also notice the occurrenceof identical SD bands with near identical transition energies among theconsidered SD bands.