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We present a fully self-consistent and relativistic calculation of the nucleon mean free path in nuclear matter and finite nuclei. Starting from the Bonn potential, the Dirac-Brueckner-Hartree-Fock results for nuclear matter are…

Nuclear Theory · Physics 2011-07-19 G. Q. Li , R. Machleidt , Y. Z. Zhuo

In this paper we review the semiclassical extended Thomas-Fermi theory for describing the ground-state properties of nuclei. The binding energies calculated in this approach do not contain shell effects and, in this sense, they are…

Nuclear Theory · Physics 2017-04-13 K. A. Gridnev , V. B. Soubbotin , X. Viñas , M. Centelles

A new decomposition of the Dirac structure of nucleon self-energies in the Dirac Brueckner-Hartree-Fock (DBHF) approach is adopted to investigate the equation of state for asymmetric nuclear matter. The effective coupling constants of…

Nuclear Theory · Physics 2009-11-07 Zhong-yu Ma , Ling Liu

The relativistic mean-field theory provides a framework in which the nuclear many-body problem is described as a self-consistent system of nucleons and mesons. In the mean-field approximation, the self-consistent time evolution of the…

Nuclear Theory · Physics 2007-05-23 Dario Vretenar

The formalism of the relativistic (or Dirac-) Brueckner approach in infinite nuclear matter is described. As nucleon-nucleon interaction the one-boson exchange potentials Bonn A,B,C and for comparison the Walecka model are used. The…

Nuclear Theory · Physics 2008-11-26 L. Sehn , C. Fuchs , Amand Faessler

A self-consistent method for calculating electron transport through a molecular device is proposed. It is based on density functional theory electronic structure calculations under periodic boundary conditions and implemented in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 San-Huang Ke , Harold U. Baranger , Weitao Yang

We present an efficient and accurate method for calculating electronic structure and related properties of random alloys with a proper treatment of local environment effects. The method is a generalization of the locally self-consistent…

Materials Science · Physics 2012-05-15 Oleg E. Peil , Andrei V. Ruban , Börje Johansson

A generalization of the Density Functional Theory is proposed. The theory developed leads to single-particle equations of motion with a quasi-local mean-field operator, which contains a quasi-particle position-dependent effective mass and a…

Nuclear Theory · Physics 2009-11-07 V. B. Soubbotin , V. I. Tselyaev , X. Vinas

We analyze the range of validity of Thomas Fermi theory for describing charge density modulations induced by external potentials in neutral graphene. We compare exact results obtained from a tight-binding calculation with those of linear…

Mesoscale and Nanoscale Physics · Physics 2010-09-07 L. Brey , H. A. Fertig

The nuclear charge density distribution plays an important role in nuclear physics and atomic physics. As one of the most frequently used models to obtain charge density distribution, the two-parameter fermi (2pF) model has been widely…

Nuclear Theory · Physics 2024-04-17 Tian-Shuai Shang , Jian Li , Zhong-Ming Niu

In the present paper, the pasta phase is studied at finite temperatures within a Thomas-Fermi (TF) approach. Relativistic mean field models, both with constant and density-dependent couplings, are used to describe this frustrated system. We…

Nuclear Theory · Physics 2012-05-14 S. S. Avancini , S. Chiacchiera , D. P. Menezes , C. Providência

We construct new equations of state for baryons at sub-nuclear densities for the use in core-collapse supernova simulations. The abundance of various nuclei is obtained together with thermodynamic quantities. The formulation is an extension…

Nuclear Theory · Physics 2017-07-21 Shun Furusawa , Kohsuke Sumiyoshi , Shoichi Yamada , Hideyuki Suzuki

The simple one-parameter nearest neighbor-spacing distribution (NNSD) is suggested for statistical analysis of nuclear spectra. This distribution is derived within the Wigner-Dyson approach in the linear approximation for the level…

Nuclear Theory · Physics 2018-12-27 A. G. Magner , A. I. Levon , S. V. Radionov

We analyze the convergence of the electron density and relative energy with respect to a perfect crystal of a class of volume defects that are compactly contained along one direction while being of infinite extent along the other two using…

Mathematical Physics · Physics 2025-11-19 Dharamveer Kumar , Amuthan A. Ramabathiran

We improve on the Thomas-Fermi approximation for the single-particle density of fermions by introducing inhomogeneity corrections. Rather than invoking a gradient expansion, we relate the density to the unitary evolution operator for the…

Quantum Gases · Physics 2019-03-04 Thanh Tri Chau , Jun Hao Hue , Martin-Isbjörn Trappe , Berthold-Georg Englert

The Kohn-Sham (KS) equations determine, in a self-consistent way, the particle density of an interacting fermion system at thermal equilibrium. We consider a situation when the KS equations are known to have a unique solution at high…

Statistical Mechanics · Physics 2007-05-23 E. Prodan

We investigate the relation between the binding energy and the Fermi energy and between different expressions for the pressure in cold nuclear matter. For a self-consistent calculation based on a $\Phi$ derivable $T-$matrix approximation…

Nuclear Theory · Physics 2009-11-07 P. Bozek , P. Czerski

A new model for calculating nuclear level densities is investigated. The single-nucleon spectra are calculated in a relativistic mean-field model with energy-dependent effective mass, which yields a realistic density of single-particle…

Nuclear Theory · Physics 2008-11-26 R. Pezer , A. Ventura , D. Vretenar

A Symplectic Effective Field Theory that unveils the observed emergence of symplectic symmetry in atomic nuclei is advanced. Specifically, starting from a simple extension of the harmonic-oscillator Lagrangian, an effective field theory…

Nuclear Theory · Physics 2022-07-20 D. Kekejian , J. P. Draayer , V. I. Mokeev , C. D. Roberts

We theoretically propose an idea to use an ultracold Fermi gas as a quantum simulator for the study of the neutron-star equation of state (EoS) in the low-density region. Our idea is different from the standard quantum simulator that heads…

Quantum Gases · Physics 2018-01-10 Pieter van Wyk , Hiroyuki Tajima , Daisuke Inotani , Akira Ohnishi , Yoji Ohashi
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