English

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

Nuclear Theory 2016-12-21 v2

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 NNNN-potential. Three PC effects are taken into account, the phonon induced interaction, the renormalization of the "ends" due to the ZZ-factors and the change of the single-particle energies. We use the perturbation theory in gL2g^2_L, where gLg_L is the vertex of the LL-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^{132}Sn and 208^{208}Pb nuclei show that the PC corrections make agreement with the experimental data better.

Keywords

Cite

@article{arxiv.1511.08034,
  title  = {Phonon-particle coupling effects in odd-even double mass differences of magic nuclei},
  author = {E. E. Saperstein and M. Baldo and N. V. Gnezdilov and S. V. Tolokonnikov},
  journal= {arXiv preprint arXiv:1511.08034},
  year   = {2016}
}

Comments

LaTex, 6 pages, 4 figures, submitted to Jetp. Lett. arXiv admin note: substantial text overlap with arXiv:1511.06579

R2 v1 2026-06-22T11:54:00.521Z