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Pis'ma v Zh. Èksper. Teoret. Fiz., 2016, Volume 103, Issue 1, Pages 3–8 (Mi jetpl4824)  

This article is cited in 2 scientific papers (total in 2 papers)

FIELDS, PARTICLES, AND NUCLEI

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

E. E. Sapersteinab, M. Baldoc, N. V. Gnezdilovd, S. V. Tolokonnikoveb

a National Research Nuclear University MEPhI, 115409 Moscow, Russia
b National Research Centre "Kurchatov Institute", 123182 Moscow, Russia
c INFN, Sezione di Catania, I-95125 Catania, Italy
d Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden, The Netherlands
e 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 $g^2_L$, where $g_L$ 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 $^{132}$Sn and $^{208}$Pb nuclei show that the PC corrections make agreement with the experimental data better.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation NSh-932.2014.2
Russian Foundation for Basic Research 13-02-00085-a
13-02-12106-_
14-02-00107-a
14-22-03040-_
The work was partly supported by the Grant NSh-932.2014.2 of the Russian Ministry for Science and Education, and by the RFBR Grants 13-02-00085-a, 13-02-12106-ofi_m, 14-02-00107-a, 14-22-03040-ofi_m.


DOI: https://doi.org/10.7868/S0370274X1601001X

Full text: PDF file (196 kB)
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English version:
Journal of Experimental and Theoretical Physics Letters, 2016, 103:1, 1–7

Bibliographic databases:

Received: 23.11.2015
Revised: 02.12.2015
Language:

Citation: E. E. Saperstein, M. Baldo, N. V. Gnezdilov, S. V. Tolokonnikov, “Phonon-particle coupling effects in odd-even double mass differences of magic nuclei”, Pis'ma v Zh. Èksper. Teoret. Fiz., 103:1 (2016), 3–8; JETP Letters, 103:1 (2016), 1–7

Citation in format AMSBIB
\Bibitem{SapBalGne16}
\by E.~E.~Saperstein, M.~Baldo, N.~V.~Gnezdilov, S.~V.~Tolokonnikov
\paper Phonon-particle coupling effects in odd-even double mass differences of magic nuclei
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2016
\vol 103
\issue 1
\pages 3--8
\mathnet{http://mi.mathnet.ru/jetpl4824}
\crossref{https://doi.org/10.7868/S0370274X1601001X}
\elib{http://elibrary.ru/item.asp?id=26126429}
\transl
\jour JETP Letters
\yr 2016
\vol 103
\issue 1
\pages 1--7
\crossref{https://doi.org/10.1134/S0021364016010124}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84962197770}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. E. E. Saperstein, M. Baldo, S. S. Pankratov, S. V. Tolokonnikov, JETP Letters, 104:11 (2016), 743–748  mathnet  crossref  crossref  isi  elib
    2. 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  scopus
  •       Pis'ma v Zhurnal ksperimental'noi i Teoreticheskoi Fiziki
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