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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2016, Volume 104, Issue 9, Pages 635–636
DOI: https://doi.org/10.7868/S0370274X16210037
(Mi jetpl5102)
 

This article is cited in 8 scientific papers (total in 8 papers)

FIELDS, PARTICLES, AND NUCLEI

Phonon–particle coupling effects in the single-particle energies 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 Istituto Nazionale di Fisica Nucleare, Sezione di Catania, Catania, Italy
d Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow region, Russia
Full-text PDF (117 kB) Citations (8)
References:
Abstract: A method is presented to evaluate the particle–phonon coupling (PC) corrections to the single-particle energies in semi-magic nuclei. In such nuclei, always there is a collective low-lying $2^+$ phonon, and a strong mixture of single-particle and particle–phonon states often occurs. As in magic nuclei the so-called $g_{\mathrm{L}^2}$ approximation, where $g_{\mathrm{L}}$ is the vertex of the $L$-phonon creation, can be used for finding the PC correction $\delta\Sigma^{\mathrm{PC}}(\varepsilon)$ to the initial mass operator $\Sigma_0$. In addition to the usual pole diagram, the phonon “tadpole” diagram is also taken into account. In semi-magic nuclei, the perturbation theory in $\delta\Sigma^{\mathrm{PC}}(\varepsilon)$ with respect to $\Sigma_0$ is often invalid for finding the PC-corrected single-particle energies. Instead, the Dyson equation with the mass operator $\Sigma(\varepsilon)=\Sigma_0+\delta\Sigma^{\mathrm{PC}}(\varepsilon)$ is solved directly, without any use of the perturbation theory. Results for a chain of semi-magic Pb isotopes are presented.
Funding agency Grant number
Russian Science Foundation 16-12-10155
16-12-10161
Russian Foundation for Basic Research 14-02-00107_a
14-22-03040_ofi_m
6-02-00228_a
Received: 31.08.2016
Revised: 26.09.2016
English version:
Journal of Experimental and Theoretical Physics Letters, 2016, Volume 104, Issue 9, Pages 609–614
DOI: https://doi.org/10.1134/S0021364016210049
Bibliographic databases:
Document Type: Article
Language: English
Citation: E. E. Saperstein, M. Baldo, S. S. Pankratov, S. V. Tolokonnikov, “Phonon–particle coupling effects in the single-particle energies of semi-magic nuclei”, Pis'ma v Zh. Èksper. Teoret. Fiz., 104:9 (2016), 635–636; JETP Letters, 104:9 (2016), 609–614
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 the single-particle energies of semi-magic nuclei
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2016
\vol 104
\issue 9
\pages 635--636
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\crossref{https://doi.org/10.7868/S0370274X16210037}
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  • This publication is cited in the following 8 articles:
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