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In this paper we present a new formalism to implement the nuclear particle-vibration coupling (PVC) model. The key issue is the proper treatment of the continuum, that is allowed by the coordinate space representation. Our formalism, based…

Nuclear Theory · Physics 2012-09-19 Kazuhito Mizuyama , Gianluca Colò , Enrico Vigezzi

We address the question of how to improve the agreement between theoretical nuclear single-particle energies (SPEs) and experiment. Empirically, in doubly magic nuclei, the SPEs can be deduced from spectroscopic properties of odd nuclei…

Nuclear Theory · Physics 2014-12-24 D. Tarpanov , J. Dobaczewski , J. Toivanen , B. G. Carlsson

We show that single-particle energies in doubly magic nuclei depend almost linearly on the coupling constants of the nuclear energy density functional. Therefore, they can be very well characterized by the linear regression coefficients,…

Nuclear Theory · Physics 2008-11-26 M. Kortelainen , J. Dobaczewski , K. Mizuyama , J. Toivanen

The self-consistent mean-field (SCMF) theory describes many properties of the ground state and excited states of the atomic nucleus, such as masses, radii, deformations and giant resonance energies. SCMF models are based on the independent…

Nuclear Theory · Physics 2014-08-05 Marco Brenna

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

Covariant density functional theory, which has so far been applied only within the framework of static and time dependent mean field theory is extended to include Particle-Vibration Coupling (PVC) in a consistent way. Starting from a…

Nuclear Theory · Physics 2008-11-26 E. Litvinova , P. Ring , V. Tselyaev

A self-consistent particle-vibration coupling (PVC) model without diagonal approximation is presented. The diagonal approximation, that neglects completely the interaction between the doorway states, has been removed by taking into account…

Nuclear Theory · Physics 2020-04-29 Shihang Shen , Gianluca Colò , Xavier Roca-Maza

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

We discuss different approaches to the problem of reproducing the observed features of nuclear single-particle (s.p.) spectra. In particular, we analyze the dominant energy peaks, and the single-particle strength fragmentation, using the…

Nuclear Theory · Physics 2015-05-18 P. F. Bortignon , G. Colò , H. Sagawa

The impact of particle-vibration coupling and polarization effects due to deformation and time-odd mean fields on single-particle spectra is studied systematically in doubly magic nuclei from low mass $^{56}$Ni up to superheavy ones.…

Nuclear Theory · Physics 2015-05-30 E. V. Litvinova , A. V. Afanasjev

The Relativistic Mean Field (RMF) approach describing the motion of independent particles in effective meson fields is extended by a microscopic theory of particle vibrational coupling. It leads to an energy dependence of the relativistic…

Nuclear Theory · Physics 2009-11-11 E. Litvinova , P. Ring

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

We investigate single-particle properties of a strongly interacting ultracold Fermi gas with mass imbalance. Using an extended $T$-matrix theory, we calculate the density of states, as well as the single-particle spectral weight, in the…

Quantum Gases · Physics 2013-07-11 Ryo Hanai , Yoji Ohashi

Recent studies of core-level X-ray photoelectron spectroscopy (XPS) spectra of silicene on ZrB$_2$(0001) were found to be inconsistent with the density of states (DOS) of a planar-like structure that has been proposed as the ground state by…

The Energy Density Functional theory is one of the most used methods developed in nuclear structure. It is based on the assumption that the energy of the ground state is a functional only of the density profile. The method is extremely…

Nuclear Theory · Physics 2015-07-10 M. Baldo , P. F. Bortignon , G. Colo' , D. Rizzo , L. Sciacchitano

In this article, we combine the ideas introduced by us earlier in various proportions to arrive at a simple and yet powerful means of studying single-particle properties of homogeneous Fermi systems in detail without making assumptions…

Condensed Matter · Physics 2007-05-23 Girish S. Setlur

We investigate the spin dependent part of the Skyrme energy-density functional, in particular its impact on the residual particle-hole interaction in self-consistent calculations of excitations. Test cases are the low-energy M1 excitations…

Nuclear Theory · Physics 2019-07-03 V. Tselyaev , N. Lyutorovich , J. Speth , P. -G. Reinhard , D. Smirnov

We study a single component (i.e., single valley, spin-polarized) two-dimensional electron gas with $C_{3v}$ symmetry tuned to a Van-Hove (VH) singularity. Generically, there may be either three or six VH points at the Fermi level, related…

Strongly Correlated Electrons · Physics 2025-04-29 Avigail Gil , Erez Berg

The spectroscopic quality of covariant density functional theory has been accessed by analyzing the accuracy and theoretical uncertainties in the description of spectroscopic observables. Such analysis is first presented for the energies of…

Nuclear Theory · Physics 2015-08-25 A. V. Afanasjev

Making use of the operator product expansion, we derive a general class of sum rules for the imaginary part of the single-particle self-energy of the unitary Fermi gas. The sum rules are analyzed numerically with the help of the maximum…

Quantum Gases · Physics 2015-04-10 Philipp Gubler , Naoki Yamamoto , Tetsuo Hatsuda , Yusuke Nishida
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