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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

Recent results of the Fayans energy density functional (EDF) for spherical nuclei are reviewed. A comparison is made with predictions of several Skyrme EDFs. The charge radii and characteristics of the first 2^+ excitations in semi-magic…

Nuclear Theory · Physics 2017-01-01 E. E. Saperstein , S. V. Tolokonnikov

A method to evaluate the particle-phonon coupling (PC) corrections to the single-particle energies in semi-magic nuclei, based on the direct solution of the Dyson equation with PC corrected mass operator, is presented. It is used for…

Nuclear Theory · Physics 2018-05-30 E. E. Saperstein , M. Baldo , S. S. Pankratov , 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

The self-consistent Theory of Finite Fermi Systems based on the Energy Density Functional by Fayans et al. with the set DF3-a of parameters fixed previously is used to calculate three kinds of quadrupole moments. At first, we examined…

Nuclear Theory · Physics 2015-06-11 S. Kamerdzhiev , S. Krewald , S. Tolokonnikov , E. E. Saperstein , D. Voitenkov

The quadrupole moments of odd neighbors of semi-magic lead and tin isotopes and $N=50,N=82$ isotones are calculated within the self-consistent Theory of Finite Fermi Systems based on the Energy Density Functional by Fayans et al. Two sets…

Nuclear Theory · Physics 2015-06-03 S. V. Tolokonnikov , S. Kamerdzhiev , D. Voitenkov , S. Krewald , E. E. Saperstein

We present a model which describes the properties of odd-even nuclei with one nucleon more, or less, with respect to the magic number. In addition to the effects related to the unpaired nucleon, we consider those produced by the excitation…

Nuclear Theory · Physics 2015-09-16 G. Co' , V. De Donno , M. Anguiano , R. N. Bernard , A. M. Lallena

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

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

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

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

A scheme is presented to find single-particle spectroscopic factors (SF) of magic and semimagic nuclei within the self-consistent theory of finite Fermi systems (TFFS). In addition to the energy dependence of the mass operator $\Sigma$…

Nuclear Theory · Physics 2015-06-22 N. V. Gnezdilov , E. E. Saperstein , S. V. Tolokonnikov

Ground state quadrupole moments of odd-odd near double magic nuclei are calculated in the approximation of no interaction between odd particles. Under such a simple approximation, the problem is reduced to the calculations of quadrupole…

Nuclear Theory · Physics 2015-06-11 D. Voitenkov , O. Achakovskiy , S. Kamerdzhiev , S. 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

We show that within the framework of a simple local nuclear energy density functional (EDF), one can describe accurately the one-- and two--nucleon separation energies of semi--magic nuclei. While for the normal part of the EDF we use…

Nuclear Theory · Physics 2009-11-07 Yongle Yu , Aurel Bulgac

We use the nuclear density functional theory to determine nuclear electric quadrupole and magnetic dipole moments in all one-particle and one-hole neighbours of eight doubly magic nuclei. We align angular momenta along the intrinsic…

Nuclear Theory · Physics 2022-10-06 P. L. Sassarini , J. Dobaczewski , J. Bonnard , R. F. Garcia Ruiz

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 of calculating static moments of excited states and transitions between excited states is formulated for non-magic nuclei within the Green function formalism. For these characteristics, it leads to a noticeable difference from the…

We use the canonical Hartree-Fock-Bogoliubov basis to implement a completely self-consistent quasiparticle-random-phase approximation with arbitrary Skyrme energy density functionals and density-dependent pairing functionals. The point of…

Nuclear Theory · Physics 2011-07-18 J. Terasaki , J. Engel , M. Bender , J. Dobaczewski , W. Nazarewicz , M. Stoitsov

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
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