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arXiv · 1511.08034

Phonon-particle coupling effects in odd-even double mass differences of magic nuclei

E. E. Saperstein·M. Baldo·N. V. Gnezdilov·S. V. Tolokonnikov
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Abstract

A method is developed to consider the particle-phonon coupling (PC) effects in the problem of finding odd-even double mass differences (DMD) of magic nuclei within the approach starting from the free $NN$-potential. Three PC effects are taken into account, the phonon induced interaction, the renormalization of the "ends" due to the $Z$-factors and the change of the single-particle energies. We use the perturbation theory in $g^2_L$, where $g_L$ is the vertex of the $L$-phonon creation. PC corrections to single-particle energies are found self-consistently with an approximate account for the so-called tadpole diagram. Results for double-magic $^{132}$Sn and $^{208}$Pb nuclei show that the PC corrections make agreement with the experimental data better.

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E. E. Saperstein, M. Baldo, N. V. Gnezdilov, S. V. Tolokonnikov. 2015-11-25. Phonon-particle coupling effects in odd-even double mass differences of magic nuclei. https://doi.org/10.1134/s0021364016010124

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