Comparative study of two-parameter models for predicting rotational energies in even-even nuclei

Nuclear Data Sheets. Section A Pub Date : 1968-05-01 DOI:10.1016/S0550-306X(68)80014-X

P.C. Sood

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引用次数: 16

Abstract

An objective comparison of the various two-parameter models proposed for the description of rotational states in even-even nuclei is carried out to assess the reliability of their extrapolation for prediction of as yet unobserved levels. The comparison involving energy ratios E(I)/E(2) contains no arbitrarily adjustable parameters. The semi-empirical formula $E (I) = A {1 - \frac{(B / A) I (I + 1)}{1 + N (B / A) I (I + 1)}} I (I + 1)$ is seen to give the best fit. A least-squares fit to observed levels with this formula gives a rms deviation of better than 0.5% in nearly all cases. The calculated values of the rotational constants A and B, and the predicted energies of rotational levels with spin up to I = 16 are tabulated.

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预测偶偶核旋转能的双参数模型的比较研究

客观比较提出的各种双参数模型的旋转状态的描述在偶偶核进行了评估其外推的可靠性预测尚未观察到的水平。涉及能量比E(I)/E(2)的比较不包含任意可调参数。半经验公式E(I)=A{1−(B/A)I(I+1)1+N(B/A)I(I+1)}I(I+1)被认为是最合适的。用这个公式对观察到的水平进行最小二乘拟合，在几乎所有情况下，均方根偏差都大于0.5%。给出了旋转常数A和B的计算值，以及自旋高达I = 16的旋转能级的预测能量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Nuclear Data Sheets. Section A

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