Origin of $2_1^+$ Excitation Energy Dependence on Valence Nucleon Numbers

Details Origin of $2_1^+$ Excitation Energy Dependence on Valence Nucleon Numbers Origin of $2_1^+$ Excitation Energy Dependence on Valence Nucleon Numbers

2007-03-13

arxiv.org/abs/nucl-th/0703035v2

Phys.Rev.C75:057304,2007

Physics

Nuclear Physics

Nuclear Theory

9 pages, 5 figures

Scientific paper

10.1103/PhysRevC.75.057304

It has been shown recently that a simple formula in terms of the valence nucleon numbers and the mass number can describe the essential trends of excitation energies of the first $2^+$ states in even-even nuclei. By evaluating the first order energy shift due to the zero-range residual interaction, we find that the factor which reflects the effective particle number participating in the interaction from the Fermi orbit governs the main dependence of the first $2^+$ excitation energy on the valence nucleon numbers.

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