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There is an ongoing quest to improve on the spectroscopic quality of nuclear energy density functionals (EDFs) of the Skyrme type through extensions of its traditional form. One direction for such activities is the inclusion of terms of…

Nuclear Theory · Physics 2021-10-12 Wouter Ryssens , Michael Bender

We have systematically studied the surface properties, such as symmetric energy, neutron pressure, and symmetry energy curvature coefficient for Ne, Na, Mg, Al, and Si nuclei from the proton to neutron drip-lines. The Coherent Density…

Nuclear Theory · Physics 2022-11-11 Jeet Amrit Pattnaik , R. N. Panda , M. Bhuyan , S. K. Patra

The deviation of the electron density around the nuclei from spherical symmetry determines the electric field gradient (EFG), which can be measured by various types of spectroscopy. Nuclear Quadrupole Resonance (NQR) is particularly…

Materials Science · Physics 2020-10-27 Kamal Choudhary , Jaafar N. Ansari , Igor I. Mazin , Karen L. Sauer

We use a finite range simple effective interaction to construct nuclear equations of state for the study of the density dependence of the nuclear symmetry energy. The EoSs provide good descriptions of the nuclear symmetry energy at a…

Nuclear Theory · Physics 2020-12-01 D. Behera , S. K. Tripathy , T. R. Routray , B. Behera

The Thomas-Fermi (TF) approximation for the static dielectric constant of a three-dimensional electron liquid can be derived from minimizing the TF local-density approximation for the kinetic-energy functional. Here we show that this…

Materials Science · Physics 2009-11-11 A. P. Favaro , Joao Vitor Batista Ferreira , K. Capelle

A new Skyrme-like energy density suitable for studies of strongly elongated nuclei has been determined in the framework of the Hartree-Fock-Bogoliubov theory using the recently developed model-based, derivative-free optimization algorithm…

In one way or the other, all modern parametrizations of the nuclear energy density functional (EDF) do not respect the exchange symmetry associated with Pauli's principle. It has been recently shown that this practice jeopardizes…

Nuclear Theory · Physics 2014-06-25 J. Sadoudi , T. Duguet , J. Meyer , M. Bender

Excitation energies to isobaric states, that are analogs of ground states, are dominated by contributions from the symmetry energy. This opens up a possibility of investigating the symmetry energy on nucleus-by-nucleus basis. Upon…

Nuclear Theory · Physics 2015-06-03 Pawel Danielewicz , Jenny Lee

We further progress along the line of Ref. [Phys. Rev. {\bf A 94}, 043614 (2016)] where a functional for Fermi systems with anomalously large $s$-wave scattering length $a_s$ was proposed that has no free parameters. The functional is…

Nuclear Theory · Physics 2017-05-24 Denis Lacroix , Antoine Boulet , Marcella Grasso , C. -J. Yang

The semi-classical approach leading to the Thomas-Fermi (TF) model provides a simple universal thermodynamic description of the electronic cloud surrounding the nucleus in an atom. This model is known to be exact at the limit of…

Materials Science · Physics 2016-09-06 Eyal Segev , Doron Gazit

We propose an energy-stable parametric finite element method (ES-PFEM) to discretize the motion of a closed curve under surface diffusion with an anisotropic surface energy $\gamma(\theta)$ -- anisotropic surface diffusion -- in two…

Numerical Analysis · Mathematics 2021-10-26 Yifei Li , Weizhu Bao

We develop a self-consistent description of hot nuclei within the relativistic Thomas--Fermi approximation using the relativistic mean-field model for nuclear interactions. The temperature dependence of the symmetry energy and other…

Nuclear Theory · Physics 2014-11-07 Z. W. Zhang , S. S. Bao , J. N. Hu , H. Shen

The tensor optimized Fermi sphere (TOFS) method is applied first for the study of the property of nuclear matter using the Argonne V4' $NN$ potential. In the TOFS method, the correlated nuclear matter wave function is taken to be a…

Nuclear Theory · Physics 2018-08-27 Taiichi Yamada , Takayuki Myo , Hisashi Horiuchi , Kiyomi Ikeda , Hiroshi Toki

Using a density functional approach based on a Skyrme interaction, thermodynamic properties of finite nuclei are investigated at non-zero temperture. The role of a momentum dependent isovector term is now studied besides volume, symmetry,…

Nuclear Theory · Physics 2009-12-31 S. J. Lee , A. Z. Mekjian

We study the effects of the symmetry energy on the neutron drip density and properties of nuclei in neutron star crusts. The nonuniform matter around the neutron drip point is calculated by using the Thomas--Fermi approximation with the…

Nuclear Theory · Physics 2015-06-23 S. S. Bao , J. N. Hu , Z. W. Zhang , H. Shen

Spectral functions do not fully describe quasielastic electron and neutrino scattering from nuclei because they only model the initial state. Final state interactions distort the shape of the differential cross section at the peak and…

Nuclear Theory · Physics 2016-06-02 A. Bodek , M. E. Christy , B. Coopersmith

Nuclear and neutron matters are investigated in the low density region, well below the nuclear saturation density. Microscopic calculations, based on the Bethe-Brueckner approach with a few realistic nucleon-nucleon potentials, are compared…

Nuclear Theory · Physics 2011-07-19 M. Baldo , C. Maieron , P. Schuck , X. Vinas

The density dependence of nuclear symmetry energy remains poorly constrained. Starting from precise empirical values of the nuclear volume and surface symmetry energy coefficients and the nuclear saturation density, we show how in the ambit…

Nuclear Theory · Physics 2015-06-12 B. K. Agrawal , J. N. De , S. K. Samaddar

Surface-response functions are one of the most promising routes for bridging the gap between fully quantum-mechanical calculations and phenomenological models in quantum nanoplasmonics. Within all the currently available recipes for…

The Thomas-Fermi approximation is a powerful method that has been widely used to describe atomic structures, finite nuclei, and nonuniform matter in supernovae and neutron-star crusts. Nonuniform nuclear matter at subnuclear density is…

Nuclear Theory · Physics 2025-08-05 Shuying Li , Hong Shen , Jinniu Hu
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