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A method to evaluate the particle-phonon coupling (PC) corrections to the single-particle energies in semi-magic nuclei, based on a direct solving the Dyson equation with PC corrected mass operator, is used for finding the odd-even mass…

Nuclear Theory · Physics 2017-12-12 E. E. Saperstein , M. Baldo , S. S. Pankratov , S. V. Tolokonnikov

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^{\rm…

Nuclear Theory · Physics 2017-12-12 E. E. Saperstein , M. Baldo , S. S. Pankratov , S. V. Tolokonnikov

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…

Nuclear Theory · Physics 2016-12-21 E. E. Saperstein , M. Baldo , N. V. Gnezdilov , S. V. Tolokonnikov

Recent results of the study of the particle-phonon coupling (PC) effects in odd magic and semi-magic nuclei within the self-consistent theory of finite Fermi systems are reviewed. In addition to the usual pole diagrams, the non-pole ones…

Nuclear Theory · Physics 2018-01-17 E. E. Saperstein , S. V. Tolokonnikov

A method is presented to evaluate the particle-phonon coupling (PC) corrections to the single-particle energies (SPEs) in semi-magic nuclei. In such nuclei always there is a collective low-lying $2^+$ phonon, and a strong mixture of…

Nuclear Theory · Physics 2017-12-12 E. E. Saperstein , M. Baldo , S. S. Pankratov , S. V. Tolokonnikov

Single-particle levels of seven magic nuclei are calculated within the Energy Density Functional (EDF) method by Fayans et al. Three versions of the EDF are used, the initial Fayans functional DF3 and its two variations, DF3-a and DF3-b,…

Nuclear Theory · Physics 2015-06-18 N. V. Gnezdilov , I. N. Borzov , E. E. Saperstein , S. V. Tolokonnikov

Odd-even double mass differences (DMD) of magic nuclei are found within the approach starting from the free $NN$ interaction with account for particle-phonon coupling (PC) effects. We consider three PC effects: the phonon induced effective…

Nuclear Theory · Physics 2016-12-28 E. E. Saperstein , M. Baldo , N. V. Gnezdilov , S. V. Tolokonnikov

Phonon coupling (PC) corrections to magnetic moments of odd neighbors of magic and semi-magic nuclei are analyzed within the self-consistent Theory of Finite Fermi Systems (TFFS) based on the Energy Density Functional by Fayans et al. The…

Nuclear Theory · Physics 2015-06-15 E. E. Saperstein , O. Achakovskiy , S. Kamerdzhiev , S. Krewald , J. Speth , S. V. Tolokonnikov

The self-consistent model, developed previously to describe phonon coupling (PC) effects in magnetic moments of odd magic and semi-magic nuclei, is extended to quadrupole moments. It is based on the theory of finite Fermi systems with the…

Nuclear Theory · Physics 2017-12-19 E. E. Saperstein , S. Kamerdzhiev , D. S. Krepish , S. V. Tolokonnikov , D. Voitenkov

Recent results of the description of quadrupole moments of odd semi-magic nuclei are briefly reviewed. They are based on the self-consistent theory of finite Fermi systems with account for the phonon-particle coupling (PC) effects. The…

Nuclear Theory · Physics 2018-08-29 E. E. Saperstein , S. Kamerdzhiev , D. S. Krepish , S. V. Tolokonnikov , D. Voitenkov

Strong electron-electron interactions are known to significantly modify the electron-phonon coupling relative to the predictions of density functional theory, but this effect is challenging to calculate with realistic theories of strongly…

Strongly Correlated Electrons · Physics 2025-07-21 David J. Abramovitch , Jennifer Coulter , Sophie Beck , Andrew Millis

Electron-phonon coupling (EPC) plays an important role in many fundamental physical phenomena, but the high computational cost of the EPC matrix hinders the theoretical research on them. In this paper, an analytical formula is derived to…

Computational Physics · Physics 2023-02-02 Yang Zhong , Zhiguo Tao , Weibin Chu , Xingao Gong , Hongjun Xiang

A consistent combination of covariant density functional theory (CDFT) and Landau-Migdal Theory of Finite Fermi Systems (TFFS) is presented. Both methods are in principle exact, but Landau-Migdal theory cannot describe ground state…

Nuclear Theory · Physics 2015-03-13 P. Ring , E. Litvinova

The Fayans energy density functional (EDF) has been very successful in describing global nuclear properties (binding energies, charge radii, and especially differences of radii) within nuclear density functional theory. In a recent study,…

Nuclear Theory · Physics 2024-02-26 Paul-Gerhard Reinhard , Jared O'Neal , Stefan M. Wild , Witold Nazarewicz

General equations for one- particle Green function in non- magic nuclei have been derived where a pairing mechanism, which is analogous to the Bardeen- Cooper- Schrieffer one, has been singled out explicitely. A "refining" procedure for the…

Nuclear Theory · Physics 2007-05-23 A. V. Avdeenkov , S. P. Kamerdzhiev

In order to analyse the role of the quasiparticle-phonon interaction in the origin of nuclear gap, we applied an approach which is similar to the Eliashberg theory for usual superconductors. We obtained that the averaged contribution of the…

Nuclear Theory · Physics 2017-08-23 A. V. Avdeenkov , S. P. Kamerdzhiev

A novel method for calculating spectroscopic properties of medium-mass and heavy atomic nuclei with an odd number of nucleons is introduced, based on the framework of nuclear energy density functional theory and the particle-core coupling…

Nuclear Theory · Physics 2016-05-04 K. Nomura , T. Nikšić , D. Vretenar

In the random-phase-approximation-amended (RPA-amended) Nilsson-Strutinskij method of calculating nuclear binding energies, the conventional shell correction terms derived from the independent-nucleon model and the Bardeen-Cooper-Schrieffer…

Nuclear Theory · Physics 2019-07-02 K. Neergård , I. Bentley

The coupling between electrons and phonons plays important roles in physics, chemistry and biology. However, the accurate calculation of the electron-phonon coupling constants is computationally expensive as it involves solving the…

Materials Science · Physics 2016-08-31 B. J. Powell , Mark R. Pederson , Tunna Baruah

A method based on the consistent use of the Green function formalism has been developed to calculate the distribution of the single-particle strength in odd nuclei with pairing. The method takes into account the quasiparticle-phonon…

Nuclear Theory · Physics 2009-11-06 A. V. Avdeenkov , S. P. Kamerdzhiev
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