Abstract

A description is considered of the masses of odd deformed atomic nuclei using fourth order polynomials for an odd nucleus’s deviations of N and Z. It is shown that moving from the second to the fourth order does not bring the parameters obtained for different groups of even–even nuclei closer to one another, and the higher order parameters calculated in this manner do not match satisfactorily. The smooth component of the mass of an odd nucleus is nearly the same for the fourth and second orders. It is concluded that it is entirely sufficient to consider second order polynomials.

中文翻译：

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奇形变核的质量的多项式描述

摘要

对于N和Z的奇数核偏差，使用四阶多项式考虑了奇数变形的原子核的质量的描述。结果表明，从第二阶移至第四阶并不会使从偶数甚至偶数核的不同组获得的参数彼此更接近，以这种方式计算出的高阶参数并不令人满意。对于四阶和二阶，奇核的质量的光滑分量几乎相同。结论是，考虑二阶多项式就足够了。