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This article is cited in 5 scientific papers (total in 5 papers)
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 $\delta \Sigma^{\text{PC}}$ 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 $\delta \Sigma^{\text{PC}}$ 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 $\Sigma(\varepsilon) = \Sigma_0 + \delta \Sigma^{\text{PC}}(\varepsilon)$ 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.
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
Linking options:
https://www.mathnet.ru/eng/jetpl5124 https://www.mathnet.ru/eng/jetpl/v104/i11/p763
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Abstract page: | 129 | Full-text PDF : | 21 | References: | 32 | First page: | 7 |
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