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We implement for the first time the simulated annealing method (SAM) to the problem of searching for the global minimum in the hyper-surface of the chi-square function which depends on the values of the parameters of a Skyrme type effective…

Nuclear Theory · Physics 2008-11-26 B. K. Agrawal , S. Shlomo , V. Kim Au

In this review we present a pedagogical introduction to recent, more mathematical developments in the Skyrme model. Our aim is to render these advances accessible to mainstream nuclear and particle physicists. We start with the static…

High Energy Physics - Theory · Physics 2011-07-19 T. Gisiger , M. B. Paranjape

We present the evolution of the shell structure of nuclei in Hartree-Fock calculations using Skyrme's density-dependent effective nucleon-nucleon interaction. The role of the tensor part of the Skyrme interaction to the Hartree-Fock…

Nuclear Theory · Physics 2008-11-26 D. M. Brink , Fl. Stancu

We investigate the structure of neutron star crusts, including the crust-core boundary, based on new Skyrme mean field models constrained by the bulk-matter equation of state from chiral effective field theory and the ground-state energies…

Nuclear Theory · Physics 2017-07-05 Yeunhwan Lim , Jeremy W. Holt

The properties of spin polarized pure neutron matter and symmetric nuclear matter are studied using the finite range simple effective interaction, upon its parametrization revisited. Out of the total twelve parameters involved, we now…

Nuclear Theory · Physics 2015-02-04 B. Behera , X. Viñas , T. R. Routray , M. Centelles

The unknown state of matter at ultra-high density, large proton/neutron number asymmetry, and low temperature is a major long-standing problem in modern physics. Neutron stars provide the only known setting in the Universe where matter in…

The study of CNO cycle involves the examination of the proton radiative capture, or the $(p,\gamma)$ reactions below 2 MeV. The astrophysical $\mathcal{S}$ factor characterizing the $(p,\gamma)$ reaction is usually reduced to the electric…

Nuclear Theory · Physics 2021-03-31 Le-Anh Nguyen , Minh-Loc Bui

{Full three dimensional static and dynamic mean field calculations using collocation basis splines with a Skyrme type Hamiltonian are described. This program is developed to address the difficult theoretical challenges offered by exotic…

Nuclear Theory · Physics 2009-09-25 C. R. Chinn , A. S. Umar , M. Vallières , M. R. Strayer

A systematic study of the microscopic and thermodynamical properties of pure neutron matter at finite temperature within the Self-Consistent Green's Function approach is performed. The model dependence of these results is analyzed by both…

Nuclear Theory · Physics 2009-04-28 A. Rios , A. Polls , I. Vidaña

The properties of inhomogeneous neutron matter are crucial to the physics of neutron-rich nuclei and the crust of neutron stars. Advances in computational techniques now allow us to accurately determine the binding energies and densities of…

Nuclear Theory · Physics 2011-02-01 S. Gandolfi , J. Carlson , Steven C. Pieper

We calculate several neutron star properties, for static and/or rotating stars, using equations of state based on different microscopic models. These include our Dirac-Brueckner-Hartree-Fock model and others derived from the…

Nuclear Theory · Physics 2009-06-02 F. Sammarruca , Pei Liu

The nuclear binding energy is studied using a finite temperature density functional theory. A Skyrme interaction is used in this work. Volume, surface, and symmetry energy contributions to the binding energy are investigated. The case of…

Nuclear Theory · Physics 2012-10-02 S. J. Lee , A. Z. Mekjian

We report on an undergraduate student project initiated in the summer semester of 2004 with the aim to establish equations of state for white dwarfs and neutron stars for computing mass-radius relations as well as corresponding maximum…

Astrophysics · Physics 2009-11-13 Irina Sagert , Matthias Hempel , Carsten Greiner , Juergen Schaffner-Bielich

The problem of having an accurate description of the spacetime around neutron stars is of great astrophysical interest. For astrophysical applications, one needs to have a metric that captures all the properties of the spacetime around a…

General Relativity and Quantum Cosmology · Physics 2017-02-09 George Pappas

With the equations of state provided by the newly developed density dependent relativistic Hartree-Fock (DDRHF) theory for hadronic matter, the properties of the static and $\beta$-equilibrium neutron stars without hyperons are studied for…

Nuclear Theory · Physics 2010-11-23 Bao Yuan Sun , Wen Hui Long , Jie Meng , U. Lombardo

The microscopic origin of the $^{229m}$Th isomer and its possible manifestation also in neighboring nuclei is explored within a selfconsistent Skyrme Hartree-Fock plus Bardeen-Cooper-Schrieffer approach. By using the well established SIII…

Nuclear Theory · Physics 2024-09-30 Nikolay Minkov , Adriana Pálffy , Philippe Quentin , Ludovic Bonneau

The proper understanding of the equation of state (EoS) of highly asymmetric nuclear matter is essential when studying systems such as neutron stars (NSs). Using zero-range Skyrme interactions and finite-range interactions such as Gogny…

Nuclear Theory · Physics 2020-03-03 Claudia Gonzalez-Boquera

We apply the direct variational method to derive the equation of state for finite nuclei within the stability valley. The extended Thomas-Fermi approximation for the energy functional with Skyrme forces is used. Using the leptodermous…

Nuclear Theory · Physics 2008-11-11 V. M. Kolomietz , A. I. Sanzhur

Multi-messenger astronomical observations of neutron stars, together with more precise calculations and constraints coming from dense matter microphysics, are generating tension with regard to equations of state models used to describe…

High Energy Astrophysical Phenomena · Physics 2026-02-09 Mauro Mariani , Ignacio F. Ranea-Sandoval

Inspired by the low--density Lee-Yang expansion for the energy of a dilute Fermi gas of density $\rho$ and momentum $k_F$, we introduce here a Skyrme--type functional that contains only $s$-wave terms and provides, at the mean--field level,…

Nuclear Theory · Physics 2017-06-07 M. Grasso , D. Lacroix , C. J. Yang