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

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, $\alpha A^{-\gamma }$, 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 $\alpha$ and $\gamma$ newly obtained by considering the $\alpha A^{-\gamma }$ term as the rotational energy of a rigid rotor are remarkably consistent with those values extracted from the earlier `modified' ${\chi }^2$ analyses, in which we use the logarithms of the excitation energies in defining the `modified' ${\chi }^2$ values.

References in corpus (4)

• N_p N_n Scheme Based on New Empirical Formula for Excitation Energy
• Universal Expression for the Lowest Excitation Energy of Natural Parity Even Multipole States
• N_pN_n dependence of empirical formula for the lowest excitation energy of the 2^+ states in even-even nuclei
• Origin of $2_1^{+}$ Excitation Energy Dependence on Valence Nucleon Numbers