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We present results for the equation of state of symmetric nuclear matter and pure neutron matter obtained in many-body-perturbation theory (MBPT) up to third order, based on various chiral two- and three-nucleon interactions used in ab…

Nuclear Theory · Physics 2025-12-03 Faruk Alp , Yannick Dietz , Kai Hebeler , Achim Schwenk

The thermal evolution of a few thermodynamic properties of the nuclear surface like its thermodynamic potential energy, entropy and the symmetry free energy are examined for both semi-infinite nuclear matter and finite nuclei. The…

Nuclear Theory · Physics 2015-06-19 B. K. Agrawal , D. Bandyopadhyay , J. N. De , S. K. Samaddar

By using the scaling method we derive the virial theorem for the relativistic mean field model of nuclei treated in the Thomas-Fermi approach. The Thomas-Fermi solutions statisfy the stability condition against scaling. We apply the…

Nuclear Theory · Physics 2010-12-23 S. K. Patra , M. Centelles , X. Vinas , M. Del Estal

A new parameterization for an effective non-linear Lagrangian density of relativistic mean field (RMF) theory is proposed, which is able to provide an excellent description not only for the properties of stable nuclei but also for those far…

Nuclear Theory · Physics 2008-11-26 G. A. Lalazissis , J. König , P. Ring

Extending beyond the Egidy-Bucurescu systematics, the nuclear level density parameters (LDPs) for the back-shifted Fermi gas model were compiled. Three forms of LDPs were fitted: the liquid-drop model (LDM), the droplet model (DM), and the…

Nuclear Theory · Physics 2025-06-04 Junzhe Zhang , Yanan Zheng , Caixin Yuan , Yangyang Shen , Yingchen Mao

We present numerical calculations of the equation of state for dense matter in high magnetic fields, using a temperature dependent Thomas-Fermi theory with a magnetic field that takes all Landau levels into account. Free energies for atoms…

Astrophysics · Physics 2009-10-30 A. Thorolfsson , O. E. Rognvaldsson , J. Yngvason , E. H. Gudmundsson

We present a systematic characterization of the radio frequency (RF) spectra of homogeneous, paired atomic Fermi gases at finite temperatures, $T$, in the presence of final state interactions. The spectra, consisting of possible bound…

Superconductivity · Physics 2011-09-13 Yan He , Chih-Chun Chien , Qijin Chen , K. Levin

Partial differential equations for the electric potential at finite temperature, taking into account the thermal Euler-Heisenberg contribution to the electromagnetic Lagrangian are derived. This complete temperature dependence introduces…

Nuclear Theory · Physics 2017-10-11 A. Bermudez Manjarres , N. G. Kelkar , Marek Nowakowski

We propose a neural-network-based variational framework for nuclear Density Functional Theory based on the extended Thomas--Fermi (ETF) model, in which proton and neutron number densities are represented by multilayer perceptrons and…

Nuclear Theory · Physics 2026-05-12 Kenta Yoshimura

Level density $\rho$ is derived for a finite system with strongly interacting nucleons at a given energy E, neutron N and proton Z particle numbers, projection of the angular momentum M, and other integrals of motion, within the…

Nuclear Theory · Physics 2023-08-22 A. G. Magner , A. I. Sanzhur , S. N. Fedotkin , A. I. Levon , U. V. Grygoriev , S. Shlomo

An extended version of the Nambu-Jona-Lasinio (NJL) model is applied to describe both nuclear matter and surface properties of finite nuclei. Several parameter sets are discussed and a comparison of the saturation properties and equation of…

The application of van der Waals equation of state to the asymmetric nuclear matter is considered in a critical state region. The corrections to the van der Waals pressure and free energy due to the Fermi statistics are obtained starting…

Nuclear Theory · Physics 2022-10-12 A. I. Sanzhur

We illustrate how to apply modern effective field theory techniques and dimensional regularization to factorize the various scales which appear in non-relativistic bound states at finite temperature. We focus here on the simplest case: the…

High Energy Physics - Phenomenology · Physics 2009-11-13 Miguel Angel Escobedo , Joan Soto

Nuclear physics can be applied in various ways to the study of neutron stars. This thesis reports on one such application, where the relativistic mean-field approximation has been employed to calculate the equations of state of matter in…

Nuclear Theory · Physics 2010-06-28 J. P. W. Diener

We present a detailed analysis of three models predicting the properties of non-uniform matter in the crust of neutron stars: the compressible liquid-drop model, the fourth order Extended Thomas Fermi (ETF) method, and ETF plus Strutinsky…

We construct the equation of state (EOS) in a wide density range for neutron stars using the relativistic mean field theory. The properties of neutron star matter with both uniform and non-uniform distributions are studied consistently. The…

Nuclear Theory · Physics 2009-11-07 H. Shen

We explore three different classes of relativistic approaches applied to the description of dense nuclear matter: a Walecka-type relativistic mean field model (RMF), an extension including an effective chiral potential (RMF-C) and a further…

Nuclear Theory · Physics 2022-05-17 R. Somasundaram , J. Margueron , G. Chanfray , H. Hansen

A relativistic quantum field theory is presented for finite density problems based on the principle of locality. It is found that, in addition to the conventional ones, a local approach to the relativistic quantum field theories at both…

High Energy Physics - Theory · Physics 2014-11-18 S. Ying

The equation of state of neutron-rich nuclear matter is of interest to both nuclear physics and astrophysics. We have demonstrated the consistency between laboratory and astrophysical nuclear matter in neutron stars by considering…

Nuclear Theory · Physics 2023-10-06 Zhenyu Zhu , Ang Li , Jinniu Hu , Hong Shen

We investigate Fermi gases at finite temperature for which the in-medium effective mass may not be constant as a function of the density, the temperature, or the chemical potential. We suggest a formalism that separates the terms for which…

Nuclear Theory · Physics 2023-07-17 Mariana Dutra , Odilon Lourenço , Jérôme Margueron