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We review Migdal's Theory of Finite Fermi Systems and its application to the structure of nuclei. The theory is an extension of Landau's Theory of Interacting Fermi Systems. In the first part the basic formulas are derived within the many…

Nuclear Theory · Physics 2009-11-11 Frank Gruemmer , Josef Speth

The problem of the determination of the nuclear surface and surface symmetry energy is addressed in the framework of the Extended Thomas Fermi (ETF) approximation using Skyrme functionals. We propose an analytical model for the density…

Nuclear Theory · Physics 2016-03-23 F. Aymard , F. Gulminelli , J. Margueron

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

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

Self-consistent mean-field models are a powerful tool in the investigation of nuclear structure and low-energy dynamics. They are based on effective energy-density functionals, often formulated in terms of effective density-dependent…

Nuclear Theory · Physics 2008-11-26 J. R. Stone , P. -G. Reinhard

New energy-density functionals (EDFs) inspired by effective-field theories (EFTs) have been recently proposed. The present work focuses on three of such functionals which were developed to produce satisfactory equations of state for nuclear…

Nuclear Theory · Physics 2018-09-26 Jérémy Bonnard , Marcella Grasso , Denis Lacroix

Fusion barriers are determined in the framework of the Skyrme energy-density functional together with the semi-classical approach known as the Extended Thomas-Fermi method. The barriers obtained in this way with the Skyrme interaction SkM*…

Nuclear Theory · Physics 2015-06-26 A. Dobrowolski , K. Pomorski , J. Bartel

we use the nuclear proximity potential obtained recently for the Skyrme nucleus-nucleus interaction in the semiclassical extended Thomas Fermi (ETF) approach using Skyrme energy density formalism (SEDF) under frozen-density…

Nuclear Theory · Physics 2010-10-07 Raj Kumar , Raj K Gupta

Recent progress in theory, experiment and observation challenges the mean field models using the conventional Skyrme interaction, suggesting that the extension of the conventional Skyrme interaction is necessary. In this work, by fitting…

Nuclear Theory · Physics 2017-01-04 Zhen Zhang , Lie-Wen Chen

A completely microscopic beyond mean-field approach has been elaborated to overcome some intrinsic limitations of self-consistent mean-field schemes applied to nuclear systems, such as the incapability to produce some properties of…

Nuclear Theory · Physics 2015-06-16 M. Brenna , G. Colò , X. Roca-Maza , P. F. Bortignon , K. Moghrabi , M. Grasso

In a quantum Fermi system the energy per particle calculated at the second order beyond the mean-field approximation diverges if a zero-range interaction is employed. We have previously analyzed this problem in symmetric nuclear matter by…

Nuclear Theory · Physics 2015-06-04 Kassem Moghrabi , Marcella Grasso , Xavier Roca-Maza , Gianluca Colo'

We propose a new scheme for constructing an effective-field-theory-based interaction to be used in the energy-density-functional (EDF) theory with specific assumptions for defining a power counting. This procedure is developed through the…

Nuclear Theory · Physics 2017-09-27 C. -J. Yang , M. Grasso , D. Lacroix

We study the effect of time-odd components of the Skyrme energy density functionals on the ground state of finite nuclei and in nuclear matter. The spin-density dependent terms, which have been recently proposed as an extension of the…

The density matrix expansion (DME) of Negele and Vautherin is a convenient tool to map finite-range physics associated with vacuum two- and three-nucleon interactions into the form of a Skyme-like energy density functional (EDF) with…

Nuclear Theory · Physics 2015-03-13 B. Gebremariam , S. K. Bogner , T. Duguet

It is important to develop a unified theoretical framework to describe the nuclear experiments and astrophysical observations based on the same effective nuclear interactions. Based on the so-called Skyrme pseudopotential up to…

Nuclear Theory · Physics 2024-04-23 Si-Pei Wang , Rui Wang , Jun-Ting Ye , Lie-Wen Chen

The nuclear collective response at finite temperature is investigated for the first time in the quantum framework of the small amplitude limit of the extended TDHF approach, including a non-Markovian collision term. It is shown that the…

Nuclear Theory · Physics 2008-11-26 Denis Lacroix , Philippe Chomaz , Sakir Ayik

We review the effective field theories (EFTs) developed for few-nucleon systems. These EFTs are controlled expansions in momenta, where certain (leading-order) interactions are summed to all orders. At low energies, an EFT with only contact…

Nuclear Theory · Physics 2009-11-07 P. F. Bedaque , U. van Kolck

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

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

In a recent series of papers, Gebremariam, Bogner, and Duguet derived a microscopically based nuclear energy density functional by applying the Density Matrix Expansion (DME) to the Hartree-Fock energy obtained from chiral effective field…

Nuclear Theory · Physics 2010-12-02 M. Stoitsov , M. Kortelainen , S. K. Bogner , T. Duguet , R. J. Furnstahl , B. Gebremariam , N. Schunck
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