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One of the most interesting open problems concerning the Skyrme model of nuclear physics is the regularity of its solutions. In this article, we study 2+1 dimensional equivariant Skyrme maps, for which we prove, using the method of…

Analysis of PDEs · Mathematics 2011-06-21 Dan-Andrei Geba , Daniel da Silva

Apparent inconsistencies between different formulations of nucleon sum rules at finite density are resolved through a proper accounting of asymmetries in the spectral functions between positive- and negative-energy states.

Nuclear Theory · Physics 2008-11-26 R. J. Furnstahl

We investigate the role of the effective nucleon-nucleon interaction in the description of giant dipole resonances in hot nuclei. For this purpose we calculate the response function of hot nuclear matter to a small isovector external…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. L. Braghin , D. Vautherin , A. Abada

Zero-range effective interactions are commonly used in nuclear physics to describe a many-body system in the mean-field framework. If they are employed in beyond- mean-field models, an artificial ultraviolet divergence is generated by the…

Nuclear Theory · Physics 2013-04-19 K. Moghrabi , M. Grasso , X. Roca-Maza , G. Coló , N. Van Giai

We present the explicit form of the next-to-next-to-leading order (N$^2$LO) Skyrme interaction in momentum space by including the fourth-order gradient potentials to the standard Skyrme interaction. With the N$^2$LO Skyrme interaction, we…

Nuclear Theory · Physics 2016-07-21 Kassem Moghrabi

The conventional Skyrme interaction is generalized by adding zero-range charge-symmetry-breaking and charge-independence-breaking terms, and the corresponding energy density functional is derived. It is shown that the extended model…

Nuclear Theory · Physics 2016-01-18 Pawel Baczyk , Jacek Dobaczewski , Maciej Konieczka , Wojciech Satula

Based on the semi-classical extended Thomas-Fermi approach, we study the mass dependence of the symmetry energy coefficients of finite nuclei for 36 different Skyrme forces. The reference densities of both light and heavy nuclei are…

Nuclear Theory · Physics 2015-12-21 N. Wang , M. Liu , H. Jiang , J. L. Tian , Y. M. Zhao

State-of-the-art models based on nuclear Density Functional Theory are successful in the description of nuclei throughout the whole nuclear chart. Among them, some differences arise regarding their accuracy. For a given nuclear model, this…

Nuclear Theory · Physics 2025-10-23 Pietro Klausner , Gianluca Colò , Xavier Roca-Maza , Enrico Vigezzi

In an effort to find an effective interaction which can consistently be used for both the mean-field part and the residual part in beyond mean-field theories, properties of the Skyrme interactions as a residual interaction are investigated.…

Nuclear Theory · Physics 2021-07-07 Mitsuru Tohyama

We have recently developed a set of equations of state based on the nuclear energy density functional theory providing a unified description of the different regions constituting the interior of neutron stars and magnetars. The nuclear…

The density dependence of the nuclear symmetry energy is inspected using the Statistical Multifragmentation Model with Skyrme effective interactions. The model consistently considers the expansion of the fragments' volumes at finite…

Nuclear Theory · Physics 2009-10-29 S. R. Souza , M. B. Tsang , B. V. Carlson , R. Donangelo , W. G. Lynch , A. W. Steiner

Numerical simulations of core-collapse supernovae, mergers of binary neutron stars and formation of stellar black holes, which employed standard Skyrme interactions, established clear correlations between the evolution of these processes,…

Nuclear Theory · Physics 2026-01-16 Adriana R. Raduta , Mikhail V. Beznogov

Linear density response functions are calculated for symmetric nuclear matter of normal density by time-evolving two-time Green's functions in real time. The feasability and convenience of this approach to this particular problem has been…

Nuclear Theory · Physics 2017-06-21 H. S. Köhler

This review focuses on the calculation of infinite nuclear matter response functions using phenomenological finite-range interactions, equipped or not with tensor terms. These include Gogny and Nakada families, which are commonly used in…

Nuclear Theory · Physics 2021-07-28 Dany Davesne , Alessandro Pastore , Jesus Navarro

It has been recently shown, that some Skyrme functionals can lead to non-converging results in the calculation of some properties of atomic nuclei. A previous study has pointed out a possible link between these convergence problems and the…

Nuclear Theory · Physics 2015-05-20 A. Pastore , D. Tarpanov , D. Davesne , J. Navarro

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

Nuclear density functional theory is the only microscopical theory that can be applied throughout the entire nuclear landscape. Its key ingredient is the energy density functional. In this work, we propose a new parameterization UNEDF2 of…

We calculate the contribution of the nucleon-nucleon tensor interaction to single-particle energies with finite-range $ G $ matrix potentials and with zero-range Skyrme potentials. The Skx Skyrme parameters including the zero-range tensor…

Nuclear Theory · Physics 2008-11-26 B. A. Brown , T. Duguet , T. Otsuka , D. Abe , T. Suzuki

We extend the definition of the Szekeres-Iyer power-law singularities to supergravity, string and M-theory backgrounds, and find that are characterized by Kasner type exponents. The near singularity geometries of brane and some intersecting…

High Energy Physics - Theory · Physics 2009-10-09 G. Papadopoulos

We construct nuclear energy density functionals in terms of derivatives of densities up to sixth, next-to-next-to-next-to-leading order (N3LO). A phenomenological functional built in this way conforms to the ideas of the density matrix…

Nuclear Theory · Physics 2014-11-18 B. G. Carlsson , J. Dobaczewski , M. Kortelainen