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The nuclear symmetry energy $E_{sym}(\rho)$ and its density slope $L(\rho)$ can be decomposed analytically in terms of the single-nucleon potential in isospin asymmetric nuclear matter. Using three popular nuclear effective interaction…

Nuclear Theory · Physics 2012-03-27 Rong Chen , Bao-Jun Cai , Lie-Wen Chen , Bao-An Li , Xiao-Hua Li , Chang Xu

Electron-capture rates at different density and temperature conditions are evaluated for a set of pf-shell nuclei representative of the constituents in presupernova formations. The nuclear structure part of the problem is described within a…

Nuclear Theory · Physics 2013-04-09 P. Sarriguren

Neutrino-nucleus quasielastic scattering is studied in the plane wave impulse approximation for three nuclear models: the relativistic Fermi gas (RFG), the independent-particle shell model (IPSM) and the natural orbitals (NO) model with…

Nuclear Theory · Physics 2021-01-04 J. M. Franco-Patino , J. Gonzalez-Rosa , J. A. Caballero , M. B. Barbaro

The nuclear mean-field potentials obtained in the Hartree-Fock method with different choices of the in-medium nucleon-nucleon (NN) interaction have been used to study the equation of state (EOS) of the neutron star (NS) matter. The EOS of…

Nuclear Theory · Physics 2011-08-02 Doan Thi Loan , Ngo Hai Tan , Dao T. Khoa , Jerome Margueron

In order to study structure of the crust in neutron stars, we develop a finite-temperature Skyrme-Hartree-Fock method in the full three-dimensional coordinate space using the Fermion operator expansion method. It provides us with a possible…

Nuclear Theory · Physics 2023-03-02 Takashi Nakatsukasa

We obtain the combined mean-field and semiclassical limit from the $N$-body Schr\"{o}dinger equation for fermions interacting via singular potentials. To obtain the result, we first prove the uniformity in Planck's constant $h$ propagation…

Analysis of PDEs · Mathematics 2024-10-03 Jacky J. Chong , Laurent Lafleche , Chiara Saffirio

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

The ground-state properties of neutron-rich nuclear clusters in the inner crust of neutron stars are investigated within the Wigner-Seitz approximation using a relativistic mean-field framework. The radial Dirac equations are solved with an…

Nuclear Theory · Physics 2026-05-08 Jinzhe Zhang , Hong Shen , Ying Zhang , Jinniu Hu

Motivated by the recently observed hypernucleus (Kiso event) $^{15}_{\Xi}$C ($^{14}$N$+\Xi^-$), we identify the state of this system theoretically within the framework of the relativistic-mean-field and Skyrme-Hartree-Fock models. The $\Xi…

Nuclear Theory · Physics 2017-01-04 T. T. Sun , E. Hiyama , H. Sagawa , H. -J. Schulze , J. Meng

The effective-surface approximation is extended taking into account derivatives of the symmetry-energy density per particle with respect to the mean particle density. The isoscalar and isovector particle densities in this extended…

Nuclear Theory · Physics 2016-01-20 J. P. Blocki , A. G. Magner , P. Ring

We calculate neutrino processes involving two nucleons at subnuclear densities using chiral effective field theory. Shorter-range noncentral forces reduce the neutrino rates significantly compared with the one-pion exchange approximation…

Nuclear Theory · Physics 2009-11-06 S. Bacca , K. Hally , C. J. Pethick , A. Schwenk

The time-dependent version of nuclear density functional theory, using functionals derived from Skyrme interactions, is able to approximately describe nuclear dynamics. We present time-dependent results of calculations of dipole resonances,…

Nuclear Theory · Physics 2016-02-17 P. D. Stevenson

The standard relativistic mean-field model is extended by including dynamical effects that arise in the coupling of single-nucleon motion to collective surface vibrations. A phenomenological scheme, based on a linear ansatz for the energy…

Nuclear Theory · Physics 2009-11-07 D. Vretenar , T Niksic , P. Ring

We aim to develop a nuclear energy density functional that can be simultaneously applied to finite nuclei and neutron stars. We use the self-consistent nuclear density functional theory (DFT) with Skyrme energy density functionals and…

Nuclear Theory · Physics 2015-01-28 J. Erler , C. J. Horowitz , W. Nazarewicz , M. Rafalski , P. -G. Reinhard

Proton and neutron densities have been obtained for the even-even isotopes of Sn from $^{100}$Sn to $^{176}$Sn using a Hartree-Fock-Bogoliubov model with a Skyrme interaction. The matter densities so defined have been used with realistic…

Nuclear Theory · Physics 2009-11-10 K. Amos , S. Karataglidis , J. Dobaczewski

It is a well known fact that Dirac phenomenology of nuclear forces predicts the existence of large scalar and vector mean fields in matter. To analyse the relativistic self-energy in a model independent way, modern high precision…

Nuclear Theory · Physics 2008-11-26 O. Plohl , C. Fuchs

This work continues a program to systematically generalize the Skyrme Hartree-Fock method for medium and heavy nuclei by applying effective field theory (EFT) methods to Kohn-Sham density functional theory (DFT). When conventional Kohn-Sham…

Nuclear Theory · Physics 2007-05-23 Anirban Bhattacharyya , R. J. Furnstahl

A simple position probability density formulation is presented for the motion of a particle in a spherically symmetric potential. The approach provides an alternative to Newtonian methods for presentation in an elementary course, and…

Physics Education · Physics 2007-05-23 Lorenzo J. Curtis , David G. Ellis

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

We propose a new semiclassical approach based on the dynamical mean field theory to treat the interactions of electrons with local lattice fluctuations. In this approach the classical (static) phonon modes are treated exactly whereas the…

Strongly Correlated Electrons · Physics 2009-11-07 S. Blawid , A. Deppeler , A. J. Millis
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