Analysis by synthesis of the spin assignment for the superdeformed single bands in A ≈ 190 odd nuclei

The spin assignments for the superdeformed single bands in Aapproximate to190 odd nuclei are discussed by use of the method of analysis by synthesis. In this work, the I(I+1) expression is used to fit the experimental energies of gamma-transition. In contrast to other procedure, the convergence process of the series expansions is put stress upon whereas how many terms to be taken exactly in the expression does not emphasized. Moreover as well as the method of fitting the physical quantity, the moment of inertia of band heads is also calculated and the method of that systematics is used for the spin assignments. In practice the systematics of the moment of inertia of band heads is more efficient than the method of fitting the physical quantity in the spin assignment. As for a few bands which spin assignment is difficult the deviation from the typical rotational bands must be considered. Finally the results of the spin assignment and the comparison with other literatures are given.