Research on superdeformed bands with Bohr-Mottelson's formulas

The superdeformed bands in the A-190 region are systemically analyzed by using Bohr-Mottelson's two, three and four-parameter I(I + 1) expansions. All results show that three formulas are reasonable to the description of superdeformed bands and the agreement with the spin determination. The parameter-relation R1 for most of bands agrees with the theoretical expected value of ab formula and the parameter-relation R1 for a part of bands agrees with the theoretical expected value of Harris formula. The parameter-relation R3 for half bands deviates from the theoretical expected value of Harris two-parameter ω2 expansion, but is closer to the theoretical expected value of ab formula, which may indicate that the ab formula is superior to the Harris two-parameter ω2 expansion