The rotational energy formulae viz. VMI model, ab-formula, Harris [Formula: see text] expansion, Exponential model with pairing attenuation and Nuclear softness formula are employed to the superdeformed bands of [Formula: see text] and [Formula: see text] mass regions in order to test the validity of various rotational energy formulae in describing the general nature of superdeformed bands. These formulae are used to deduce the band-head spins of the nine superdeformed bands in [Formula: see text] mass region and two superdeformed bands of [Formula: see text] mass region. The band-head spins of these superdeformed bands have been established experimentally and hence they prove to be excellent candidates to examine the adequacy of rotational energy formulae in superdeformed bands. The least-squares fitting of [Formula: see text]-transition energies is performed to calculate the model parameters such as the band-head moment of inertia, the effective pairing gap parameter and the softness parameter, and a careful analysis of these parameters is made. For the first time, we have performed a systematic study of the rotational energy formulae to establish which formula gives the best estimate of spin in [Formula: see text] mass regions.

中文翻译：

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A ∼ 190,150 质量区域的超变形带中的现象学公式的检查

旋转能量公式，即。VMI模型、ab-formula、Harris [公式：见正文]展开、具有配对衰减的指数模型和核软度公式用于[公式：见正文]和[公式：见正文]质量区域的超变形带，以便测试各种旋转能量公式在描述超变形带的一般性质方面的有效性。这些公式用于推导[公式：见正文]质量区的九个超变形带和[公式：见正文]质量区的两个超变形带的带头自旋。这些超变形带的带头自旋已经通过实验确定，因此它们被证明是检验超变形带中旋转能量公式是否充分的优秀候选者。[公式的最小二乘拟合：见正文]-跃迁能计算带头转动惯量、有效配对间隙参数和软度参数等模型参数，并对这些参数进行了仔细分析。我们第一次对旋转能量公式进行了系统研究，以确定哪个公式可以对 [公式：见正文] 质量区域中的自旋进行最佳估计。