N_pN_n dependence of empirical formula for the lowest excitation energy of the 2^+ states in even-even nuclei

Details N_pN_n dependence of empirical formula for the lowest excitation energy of the 2^+ states in even-even nuclei N_pN_n dependence of empirical formula for the lowest excitation energy of the 2^+ states in even-even nuclei

2007-11-24

arxiv.org/abs/0711.3802v2

J. Phys. G: Nucl. Part. Phys. 35 (2008) 035105

Physics

Nuclear Physics

Nuclear Theory

14 pages, 5 figures

Scientific paper

10.1088/0954-3899/35/3/035105

We examine the effects of the additional term of the type $\sim e^{- \lambda' N_pN_n}$ on the recently proposed empirical formula for the lowest excitation energy of the $2^+$ states in even-even nuclei. This study is motivated by the fact that this term carries the favorable dependence of the valence nucleon numbers dictated by the $N_pN_n$ scheme. We show explicitly that there is not any improvement in reproducing $E_x(2_1^+)$ by including the extra $N_pN_n$ term. However, our study also reveals that the excitation energies $E_x(2_1^+)$, when calculated by the $N_pN_n$ term alone (with the mass number $A$ dependent term), are quite comparable to those calculated by the original empirical formula.

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