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The effective field theory motivated relativistic mean-field (E-RMF) formalism is employed to study the equation of state (EoS) for the infinite symmetric nuclear matter at finite temperature using the recently developed forces FSUGarnet,…

Nuclear Theory · Physics 2023-03-15 Vishal Parmar , Manoj K Sharma , S K Patra

Working on the framework of Relativistic Mean Field theory, we exposed the effect of nonlinear isoscalar-isovector coupling on G2 parameter set on the density dependence of nuclear symmetry energy in infinite nuclear matter. The observables…

Nuclear Theory · Physics 2015-06-12 S. K. Singh , M. Bhuyan , P. K. Panda , S. K. Patra

We relate the relativistic finite range mean-field model (RMF-FR) to the point-coupling variant and compare the nonlinear density dependence. From this, the effective Hamiltonian of the nonlinear point-coupling model in the nonrelativistic…

Nuclear Theory · Physics 2010-05-27 A. Sulaksono , T. Buervenich , J. A. Maruhn , P. -G. Reinhard , W. Greiner

We study a particular class of relativistic nuclear energy density functionals in which only nucleon degrees of freedom are explicitly used in the construction of effective interaction terms. Short-distance (high-momentum) correlations, as…

Nuclear Theory · Physics 2008-11-26 T. Niksic , D. Vretenar , P. Ring

Relativistic energy density functionals have become a standard framework for nuclear structure studies of ground-state properties and collective excitations over the entire nuclide chart. We review recent developments in modeling nuclear…

Nuclear Theory · Physics 2015-10-28 N. Paar , T. Marketin , D. Vale , D. Vretenar

The present contribution reports the first systematic finite-nucleus calculations performed using the Energy Density Functional method and a non-empirical pairing functional derived from low-momentum interactions. As a first step, the…

Nuclear Theory · Physics 2008-11-26 T. Duguet , T. Lesinski

The exchange part of energy density of the linear Dirac--Hartree--Fock (DHF) model in symmetric nuclear matter is evaluated in a parameter--free closed form and expressed as density functional. After the rearranging terms the relativistic…

Nuclear Theory · Physics 2021-04-27 S. Gmuca , K. Petrik , J. Leja

The relativistic mean-field models tested in previous works against nuclear matter experimental values, critical parameters and macroscopic stellar properties are revisited and used in the evaluation of the symmetry energy $\gamma$…

Nuclear Theory · Physics 2021-02-16 Mariana Dutra , Odilon Lourenço , Or Hen , Eliezer Piasetzky , Débora P. Menezes

We study 1S0 pairing gaps in neutron and nuclear matter as well as in finite nuclei on the basis of microscopic two-nucleon interactions. Special attention is paid to the consistency of the pairing interaction and normal self-energy…

Nuclear Theory · Physics 2009-10-29 K. Hebeler , T. Duguet , T. Lesinski , A. Schwenk

By assuming that the isospin- and momentum-dependent MDI interaction has a form similar to the Gogny-like effective two-body interaction with a Yukawa finite-range term and the momentum dependence only originates from the finite-range…

Nuclear Theory · Physics 2010-10-19 Jun Xu , Che Ming Ko

A Quark-Meson Coupling (QMC) model is extended to finite nuclei in the relativistic mean-field or Hartree approximation. The ultra-relativistic quarks are assumed to be bound in non-overlapping nucleon bags, and the interaction between…

Nuclear Theory · Physics 2008-11-26 Peter G. Blunden , Gerald A. Miller

In nuclear physics, the relativistic mean-field theory describes the nucleus as a system of Dirac nucleons which interact via meson fields. In a static case and without nonlinear self-coupling of the $\sigma$ meson, the relativistic…

Mathematical Physics · Physics 2015-05-20 Simona Rota Nodari

In this paper we consider a model for a nucleon interacting with the $\omega$ and $\sigma$ mesons in the atomic nucleus. The model is relativistic, but we study it in the nuclear physics nonrelativistic limit, which is of a very different…

Analysis of PDEs · Mathematics 2015-06-04 Maria J. Esteban , Simona Rota Nodari

The relation between nuclear saturation and NN-correlations is examined. Nucleons bound in a nucleus have a reduced effective mass due to the mean field. This results in off-energy-shell scatterings modifying the free-space NN-interaction…

Nuclear Theory · Physics 2007-05-23 H. S. Köhler , S. A. Moszkowski

The density dependencies of various effective interaction strengths in the relativistic mean field are studied and carefully compared for nuclear matter and neutron stars. The influences of different density dependencies are presented and…

Nuclear Theory · Physics 2009-11-10 S. F. Ban , J. Li , S. Q. Zhang , H. Y. Jia , J. P. Sang , J. Meng

Relationships between general long-range interacting classical systems on a lattice and the corresponding mean-field models (infinitely long-range interacting models) are investigated. We study systems in arbitrary dimension d for periodic…

Statistical Mechanics · Physics 2015-03-14 Takashi Mori

We extend the relativistic mean field theory model of Sugahara and Toki (TM1) by adding new couplings suggested by modern effective field theories. An improved set of parameters (TM1*) is developed with the goal to test the ability of the…

Nuclear Theory · Physics 2007-05-23 M. Del Estal , M. Centelles , X. Viñas , S. K. Patra

An extension of the relativistic density functional approach to the equation of state for strongly interacting matter is suggested which generalizes a recently developed modified excluded-volume mechanism to the case of temperature and…

Nuclear Theory · Physics 2018-02-16 Stefan Typel , David Blaschke

We perform a detailed analysis of the properties of the finite-range tensor term associated with the Gogny and M3Y effective interactions. In particular, by using a partial wave decomposition of the equation of state of symmetric nuclear…

Nuclear Theory · Physics 2016-06-15 D. Davesne , P. Becker , A. Pastore , J. Navarro

Regularization and renormalization is discussed in the context of low-energy effective field theory treatments of two or more heavy particles (such as nucleons). It is desirable to regulate the contact interactions from the outset by…

Nuclear Theory · Physics 2008-11-26 Thomas D. Cohen