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Based on the nuclear equation of state, the curvature correction term to the surface tension coefficient is calculated. Tolman $\delta$ correction is shown to be sensitive to the Skyrme force parametrization. The temperature dependence of…

Nuclear Theory · Physics 2014-09-05 K. V. Cherevko , L. A. Bulavin , L. L. Jenkovszky , V. M. Sysoev , F. -S. Zhang

Within the framework of Skyrme energy density formalism, we investigate the role of surface corrections on the fusion of colliding nuclei. For this, the coefficient of surface correction was varied between 1/36 and 4/36, and its impact was…

Nuclear Theory · Physics 2011-07-08 Ishwar Dutt , Narinder K. Dhiman

The effect of correlations between the slope and the curvature of the symmetry energy on ground state nuclear observables is studied within the extended Thomas-Fermi approximation. We consider different isovector probes of the symmetry…

Nuclear Theory · Physics 2018-06-20 Ad. R. Raduta , F. Gulminelli

This paper presents a detailed assessment of the ability of the 240 Skyrme interaction parameter sets in the literature to satisfy a series of criteria derived from macroscopic properties of nuclear matter in the vicinity of nuclear…

Nuclear Theory · Physics 2014-06-26 M. Dutra , O. Lourenço , J. S. Sá Martins , A. Delfino , J. R. Stone , P. D. Stevenson

In the present paper, we show a simple method to obtain fittings for the surface and curvature tensions. The method uses the nuclear mass of a spherical fully ionized atom and a simple expression for the binding energy such that a least…

Nuclear Theory · Physics 2024-06-14 Mariana Dutra , Odilon Lourenço , Débora P. Menezes

A state-of-the-art approach for calculating the finite nuclear size correction to atomic energy levels and the bound-electron $g$ factor is introduced and demonstrated for a series of highly charged hydrogen-like ions. Firstly,…

Atomic Physics · Physics 2020-07-01 Igor A. Valuev , Zoltán Harman , Christoph H. Keitel , Natalia S. Oreshkina

We redefine the surface tension coefficient for a nuclear Fermi-liquid drop with a finite diffuse layer. Following Gibbs-Tolman concept, we introduce the equimolar radius R_e of sharp surface droplet at which the surface tension is applied…

Nuclear Theory · Physics 2015-05-30 V. M. Kolomietz , S. V. Lukyanov , A. I. Sanzhur

In the framework of nuclear energy density functional (EDF) methods, many nuclear phenomena can be related to the deformation of intrinsic states. Their accurate modeling relies on the correct description of the change of nuclear binding…

Nuclear Theory · Physics 2024-03-26 Philippe Da Costa , Karim Bennaceur , Jacques Meyer , Wouter Ryssens , Michael Bender

Surface and curvature properties of asymmetric nuclear matter are studied beyond the proton drip. Using the semiclassical extended Thomas-Fermi method, the calculations are performed in the non-relativistic and relativistic meson field…

Nuclear Theory · Physics 2009-10-30 M. Centelles , M. Del Estal , X. Vinas

Surface tension is a macroscopic manifestation of the cohesion of matter, and its value $\sigma_\infty$ is readily measured for a flat liquid-vapor interface. For interfaces with a small radius of curvature $R$, the surface tension might…

Chemical Physics · Physics 2016-02-04 Nicolas Bruot , Frédéric Caupin

In the present work, we use a finite range effective interaction to calculate the neutron skin thickness in $^{48}$Ca and correlate these quantities with the parameters of nuclear symmetry energy. Available experimental data on the neutron…

Nuclear Theory · Physics 2020-09-02 S. K. Tripathy , D. Behera , T. R. Routray , B. Behera

We suggest a particular procedure of derivation of the beta-stability line and isotopic symmetry energy. The behavior of the symmetry energy coefficient $b(A,N-Z)$ is analyzed. We redefine the surface tension coefficient and the surface…

Nuclear Theory · Physics 2014-11-11 V. M. Kolomietz , A. I. Sanzhur

The Statistical Multifragmentation Model is modified to incorporate the Helmholtz free energies calculated in the finite temperature Thomas-Fermi approximation using Skyrme effective interactions. In this formulation, the density of the…

Nuclear Theory · Physics 2009-12-31 S. R. Souza , B. V. Carlson , R. Donangelo , W. G. Lynch , A. W. Steiner , M. B. Tsang

An alternative way to constrain the density dependence of the symmetry energy with the slope of the neutron skin thickness of nuclei which shows a linear relation to both the isospin asymmetry and the nuclear charge with a form of Z^{2/3}…

Nuclear Theory · Physics 2011-08-02 Min Liu , Zhuxia Li , Ning Wang , Fengshou Zhang

This work investigates curvature-induced modifications to the Yukawa potential in static, spherically symmetric spacetimes described by Tolman metrics, focusing on their implications for compact stellar objects, with particular application…

General Relativity and Quantum Cosmology · Physics 2026-04-01 J. V. Zamperlini , C. C. Barros

The purpose of this study is threefold: first, to identify a scheme for the determination of the surface energy coefficient a_surf that offers the best compromise between robustness, precision, and numerical efficiency; second, to analyze…

Nuclear Theory · Physics 2018-03-06 R. Jodon , M. Bender , K. Bennaceur , J. Meyer

We perform extended Thomas-Fermi calculations in the Wigner-Seitz cell below and above neutron drip with realistic functionals. The resulting energy density is decomposed as a sum of bulk terms and a surface term, and a compressible liquid…

Nuclear Theory · Physics 2020-10-06 Ubiratãn José Furtado , Francesca Gulminelli

The full relaxed-density potential between spherical nuclei is considered as a sum of the macroscopic and shell-correction contributions. The macroscopic part of the potential is related to a nucleus-nucleus potential obtained in the…

Nuclear Theory · Physics 2015-06-23 V. Yu. Denisov

A Skyrme-like effective interaction is built up from the equation of state of nuclear matter. The latter is calculated in the framework of the Brueckner-Hartree-Fock approximation with two and three body forces. A complete Skyrme…

Nuclear Theory · Physics 2009-11-11 L. G. Cao , U. Lombardo , C. W. Shen , Nguyen Van Giai

Mass calculations carried out by Strutinsky's shell correction method are based on the notion of smooth single particle level density. The smoothing procedure is always performed using curvature correction. In the presence of curvature…

Nuclear Theory · Physics 2014-11-20 P. Salamon , A. T. Kruppa
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