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| VOLUME 103 (2016) | ISSUE 1 | PAGE 3 |
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Phonon-particle coupling effects in odd-even double mass differences of magic nuclei
E. E. Saperstein+*, M. Baldo×, N. V. Gnezdilov°, S. V. Tolokonnikov+∇
+National Research Centre "Kurchatov Institute", 123182 Moscow, Russia *National Research Nuclear University MEPhI, 115409 Moscow, Russia ×INFN, Sezione di Catania, I-95125 Catania, Italy °Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden, The Netherlands ∇Moscow Institute of Physics and Technology, 141700 Dolgoprudny, Russia
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 g2L, where gL is the vertex of the L-phonon creation. PC corrections to single-particle energies are found self-consistently. In addition to the usual pole diagram, the phonon "tadpole" diagram is taken into account approximately. Results for double-magic 132Sn and 208Pb nuclei show that the PC corrections make agreement with the experimental data better. |