N_p N_n Scheme Based on New Empirical Formula for Excitation Energy

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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11 pages, 7 figures

Scientific paper

10.1088/0954-3899/34/12/002

We examine the $N_p N_n$ scheme based on a recently proposed simple empirical formula which is highly valid for the excitation energy of the first excited natural parity even multipole states in even-even nuclei. We demonstrate explicitly that the $N_p N_n$ scheme for the excitation energy emerges from the separate exponential dependence of the excitation energy on the valence nucleon numbers $N_p$ and $N_n$ together with the fact that only a limited set of numbers is allowed for the $N_p$ and $N_n$ of the existing nuclei.

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