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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

Root-mean-square charge radii are discussed in terms of spherical Energy Density Functional (EDF) models corrected for quadrupole deformations. Comparisons between experiment and theory are made for the absolute radii of all even-even…

Nuclear Theory · Physics 2022-08-31 B. Alex Brown , Kei Minamisono

We present results of the Hartree-Fock-Bogolyubov calculations performed using nuclear energy density functionals based on regularized functional generators at next-to-leading and next-to-next-to-leading order. We discuss properties of…

Nuclear Theory · Physics 2017-01-30 K. Bennaceur , J. Dobaczewski , Y. Gao

Heavy even-even nuclei exhibit low-energy collective excitations that are separated in scale from the microscopic (fermion) degrees of freedom. This separation of scale allows us to approach nuclear vibrations within an effective field…

Nuclear Theory · Physics 2016-11-21 E. A. Coello Pérez , T. Papenbrock

In this work, we study the odd-even effect in binding energies and charge radii, and systematic behavior of differential radii, to identify the underlying components of the effective nuclear interaction. We apply nuclear density functional…

Nuclear Theory · Physics 2017-07-05 P. -G. Reinhard , W. Nazarewicz

Due to the large value of the scattering length in nuclear systems, standard density--functional theories based on effective interactions usually fail to reproduce the nuclear Fermi liquid behavior both at very low densities and close to…

Nuclear Theory · Physics 2016-09-21 C. J. Yang , M. Grasso , D. Lacroix

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 generalization of the Density Functional Theory is proposed. The theory developed leads to single-particle equations of motion with a quasi-local mean-field operator, which contains a quasi-particle position-dependent effective mass and a…

Nuclear Theory · Physics 2009-11-07 V. B. Soubbotin , V. I. Tselyaev , X. Vinas

The self consistent version of the density functional theory is presented, which allows to calculate the ground state and dynamic properties of finite multi-electron systems. An exact functional equation for the effective interaction, from…

Materials Science · Physics 2017-08-23 M. Ya. Amusia , A. Z. Msezane , V. R. Shaginyan

The Extended Theory of Finite Fermi Systems is based on the conventional Landau-Migdal theory and includes the coupling to the low-lying phonons in a consistent way. The phonons give rise to a fragmentation of the single-particle strength…

Nuclear Theory · Physics 2008-11-26 V. Tselyaev , J. Speth , F. Gruemmer , S. Krewald , A. Avdeenkov , E. Litvinova , G. Tertychny

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

We report the first use of the effective QMC energy density functional (EDF), derived from a quark model of hadron structure, to study a broad range of ground state properties of even-even nuclei across the periodic table in the…

Nuclear Theory · Physics 2016-03-23 J. R. Stone , P. A. M. Guichon , P. G. Reinhard , A. W. Thomas

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

The connection from the structure and dynamics of atomic nuclei (finite nuclear system) to the nuclear equation of state (thermodynamic limit) is primarily made through nuclear energy-density functional (EDF) theory. Failure to describe…

Nuclear Theory · Physics 2018-10-29 Panagiota Papakonstantinou , Hana Gil

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

I propose a simple and manageable method that allows for deriving coupling constants of model energy density functionals (EDFs) directly from ab initio calculations performed for finite fermion systems. A proof-of-principle application…

Nuclear Theory · Physics 2016-02-19 J. Dobaczewski

The Green function formalism with a consistent account for phonon coupling (PC), based on the self-consistent theory of finite Fermi-systems, is applied for pygmy- and giant multipole resonances in magic nuclei with the aim to consider…

Nuclear Theory · Physics 2020-03-06 S. Kamerdzhiev , M. Shitov

We review an extension of Migdal's Theory of Finite Fermi Systems which has been developed and applied to collective vibrations in closed shell nuclei in the past ten years. This microscopic approach is based on a consistent use of the…

Nuclear Theory · Physics 2015-06-26 S. Kamerdzhiev , J. Speth , G. Tertychny

Recently, Theophilou (J. Chem.Phys {\bf 149} 074104 (2018)) showed that a set of spherically symmetric densities determines uniquely the external potential in molecules and solids. Here, spherically symmetric Kohn-Sham-like equations are…

Chemical Physics · Physics 2021-10-27 Ágnes Nagy , Kalevi Kokko , Jesse Huhtala , Torbjörn Björkman , Levente Vitos

Octupole vibrations are studied in some doubly magic nuclei using the time-dependent Hartree-Fock (TDHF) theory with a Skyrme energy density functional. Through the use of the linear response theory, the energies and transition amplitudes…

Nuclear Theory · Physics 2016-09-07 C. Simenel , J. Buete , K. Vo-Phuoc