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arXiv · 0903.0084

Rotational energy term in the empirical formula for the yrast energies in even-even nuclei

Eunja Ha·S. W. Hong
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Abstract

We show that part of the empirical formula describing the gross features of the measured yrast energies of the natural parity even multipole states for even-even nuclei can be related to the rotational energy of nuclei. When the first term of the empirical formula, $αA^{-γ}$, is regarded as the otational energy, we can better understand the results of the previous analyses of the excitation energies. We show that the values of the parameters $α$ and $γ$ newly obtained by considering the $αA^{-γ}$ term as the rotational energy of a rigid rotor are remarkably consistent with those values extracted from the earlier `modified' $χ^2$ analyses, in which we use the logarithms of the excitation energies in defining the `modified' $χ^2$ values.

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Eunja Ha, S. W. Hong. 2009-02-28. Rotational energy term in the empirical formula for the yrast energies in even-even nuclei. https://doi.org/10.1103/physrevc.79.037301

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