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Pis'ma v Zh. Èksper. Teoret. Fiz., 2016, Volume 104, Issue 11, Pages 763–768 (Mi jetpl5124)  

This article is cited in 1 scientific paper (total in 1 paper)

FIELDS, PARTICLES, AND NUCLEI

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

E. E. Sapersteinab, M. Baldoc, S. S. Pankratovdb, S. V. Tolokonnikovdb

a National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow, Russia
b National Research Center Kurchatov Institute, Moscow, Russia
c Istitute Nazionale di Fisica Nucleare, Sezione di Catania, Catania, Italy
d Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow region, Russia

Abstract: A method is developed to consider the particle-phonon coupling (PC) effects in the calculation of the odd-even double mass differences (DMD) in semi-magic nuclei starting from the free $NN$ potential. The PC correction $\delta \Sigma^{PC}$ to the mass operator $\Sigma$ is found in $g_{\mathrm{L}^2}$-approximation, $g_{\mathrm{L}}$ being the vertex of creating the $L$-phonon. The tadpole term of the operator $\delta \Sigma^{PC}$ is taken into account. The method is based on a direct, without any use of the perturbation theory, solution of the Dyson equation with the mass operator $\Sigma(\varepsilon) = \Sigma_0 + \delta \Sigma^{PC}(\varepsilon)$ for finding the single-particle energies and $Z$-factors. In its turn, they are used as an input for finding different PC corrections to the DMD values. Results for a chain of even semi-magic nuclei $^{200-206}$Pb show that the inclusion of the PC corrections makes agreement with the experimental data significantly better.

Funding Agency Grant Number
Russian Science Foundation 16-12-10155
16-12-10161


DOI: https://doi.org/10.7868/S0370274X16230016

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English version:
Journal of Experimental and Theoretical Physics Letters, 2016, 104:11, 743–748

Bibliographic databases:

Received: 21.10.2016
Revised: 28.10.2016

Citation: E. E. Saperstein, M. Baldo, S. S. Pankratov, S. V. Tolokonnikov, “Phonon-particle coupling effects in odd-even double mass differences of semi-magic nuclei”, Pis'ma v Zh. Èksper. Teoret. Fiz., 104:11 (2016), 763–768; JETP Letters, 104:11 (2016), 743–748

Citation in format AMSBIB
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\by E.~E.~Saperstein, M.~Baldo, S.~S.~Pankratov, S.~V.~Tolokonnikov
\paper Phonon-particle coupling effects in odd-even double mass differences of semi-magic nuclei
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2016
\vol 104
\issue 11
\pages 763--768
\mathnet{http://mi.mathnet.ru/jetpl5124}
\crossref{https://doi.org/10.7868/S0370274X16230016}
\elib{http://elibrary.ru/item.asp?id=27509703}
\transl
\jour JETP Letters
\yr 2016
\vol 104
\issue 11
\pages 743--748
\crossref{https://doi.org/10.1134/S0021364016230144}
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    This publication is cited in the following articles:
    1. E. E. Saperstein, S. Kamerdzhiev, D. S. Krepish, S. V. Tolokonnikov, D. Voitenkov, J. Phys. G-Nucl. Part. Phys., 44:6 (2017), 065104  crossref  isi
  •       Pis'ma v Zhurnal ksperimental'noi i Teoreticheskoi Fiziki
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