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NpNn dependence of empirical formula for the lowest excitation energy of the 2+ states in even–even nuclei

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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 NpNn scheme. We show explicitly that there is not any improvement in reproducing Ex(2+1) by including the extra NpNn term. However, our study also reveals that the excitation energies Ex(2+1), when calculated by the NpNn 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: March 1, 2008

iop/jphysg/2008/00000035/00000003/art035105
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