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

Authors: Jin, Guanghao; Yoon, Jin-Hee; Cha, Dongwoo

Source: Journal of Physics G: Nuclear and Particle Physics, Volume 35, Number 3, March 2008 , pp. 35105-35114(10)

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Abstract:

We examine the effects of the additional term of the type &{sim} {rm e}^{- lambda^{prime} N_{rm p}N_{rm 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.

Document Type: Research article

DOI: http://dx.doi.org/10.1088/0954-3899/35/3/035105

Publication date: 2008-03-01