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The use of effective field theory offers a systematic way to improve calculations of nuclear reactions and the properties of atomic nuclei. Its successes have led to the widespread belief that the predictions of this approach are model…

Nuclear Theory · Physics 2025-10-17 Anthony W. Thomas

The $\sigma$-$\omega$ model of nuclei is studied at leading order in the $1/N$ expansion thereby introducing the self consistent Hartree approximation, the Dirac sea corrections and the one fermion loop meson self energies in a unified way.…

Nuclear Theory · Physics 2008-11-26 J. Caro , E. Ruiz Arriola , L. L. Salcedo

The properties of infinite matter and finite nuclei are studied by using the chiral sigma model in the framework of the relativistic mean field theory. We reconstruct an extended chiral sigma model in which the omega meson mass is generated…

Nuclear Theory · Physics 2009-11-10 Y. Ogawa , H. Toki , S. Tamenaga , H. Shen , A. Hosaka , S. Sugimoto , K. Ikeda

Electromagnetic (EM) interactions are incorporated in a recently proposed effective field theory of the nuclear many-body problem. Earlier work with this effective theory exhibited EM couplings that are correct only to lowest order in both…

Nuclear Theory · Physics 2008-11-26 Brian D. Serot

We perform a calculation of dense and hot nuclear matter where the mean interaction between nucleons is described by in-medium effective fields and where we employ analytical approximations of the Fermi integrals. We generalize a previous…

Nuclear Theory · Physics 2024-04-19 Odilon Lourenço , Mariana Dutra , Jérôme Margueron

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

We calculate the effective mass m_\omega^* of the \omega-meson in nuclear medium by the \sigma-\omega model with a vector field self-interaction (VFSI). We found that the direct and the indirect effects of the VFSI almost cancel each other…

Nuclear Theory · Physics 2007-05-23 Katsuaki Sakamoto , Hiroaki Kouno , Akira Hasegawa , Masahiro Nakano

In this paper we consider a variational problem related to a model for a nucleon interacting with the $\omega$ and $\sigma$ mesons in the atomic nucleus. The model is relativistic, and we study it in a nuclear physics nonrelativistic limit,…

Analysis of PDEs · Mathematics 2018-03-28 Maria J. Esteban , Simona Rota Nodari

Relativistic mean field (RMF) theory of nuclear matter with the isovector scalar mean field corresponding to the delta-meson [a_0(980)] is studied. While the delta-meson mean field vanishes in symmetric nuclear matter, it can influence…

Astrophysics · Physics 2009-10-30 S. Kubis , M. Kutschera

An improved quark mass density- dependent model with the non-linear scalar sigma field and the $\omega$-meson field is presented. We show that the present model can describe saturation properties, the equation of state, the compressibility…

Nuclear Theory · Physics 2008-11-26 Chen Wu , Wei-Liang Qian , Ru-Keng Su

The effect of $\delta-$ and $\omega-\rho-$meson cross couplings on asymmetry nuclear systems are analyzed in the frame-work of an effective Field theory motivated relativistic mean field formalism. The calculations are done on top of the G2…

Nuclear Theory · Physics 2015-06-17 Shailesh K. Singh , S. K. Biswal , M. Bhuyan , S. K. Patra

This review gives an overview of effective field theory (EFT) as applied at finite density, with a focus on nuclear many-body systems. Uniform systems with short-range interactions illustrate the ingredients and virtues of many-body EFT and…

Nuclear Theory · Physics 2009-11-19 R. J. Furnstahl , G. Rupak , T. Schaefer

The sigma-omega model in mean-field approximation where the meson fields are treated classically, describes much of observed nuclear structure and has been employed to describe the nuclear equation of state up to the quark-gluon phase…

Nuclear Theory · Physics 2009-10-30 Bryan E. Barmore

Effetive field theory is believed to provide a useful framework for describing low-energy nuclear phenomena in a model-independent fashion. I give here a brief account of the basic features of this approach, some of its latest developments,…

Nuclear Theory · Physics 2007-05-23 K. Kubodera

We derive the equation of state of nuclear matter including vacuum polarization effects arising from the nucleons and the sigma mesons in the quark-meson coupling model which incorporates explicitly quark degrees of freedom with quark…

Nuclear Theory · Physics 2009-11-07 P. K. Panda , F. L. Braghin

Lattice effective field theory applies the principles of effective field theory in a lattice framework where space and time are discretized. Nucleons are placed on the lattice sites, and the interactions are tuned to replicate the observed…

Nuclear Theory · Physics 2025-10-07 Dean Lee

Nucleon and meson effective masses in the nonlinear Relativistic Mean - Field Theory (RMF) introducing a nonlinear omega - rho and sigma coupling motivated by the Quark Meson Coupling model (QMC) is explored. It is shown that, in contrast…

Nuclear Theory · Physics 2008-11-26 Ryszard Manka , Ilona Bednarek

Recent progress in Lorentz-covariant quantum field theories of the nuclear many-body problem (quantum hadrodynamics or QHD) is discussed. The effective field theory studied here contains nucleons, pions, isoscalar scalar (\sigma) and vector…

Nuclear Theory · Physics 2017-01-25 Brian D. Serot

A statistical theory of the mean field is developed. It is based on the proposition that the mean field can be obtained as an energy average. Moreover, it is assumed that the matrix elements of the residual interaction, obtained after the…

Nuclear Theory · Physics 2009-10-30 R. Caracciolo , A. De Pace , H. Feshbach , A. Molinari

We study the random-field Ising model with long-range interactions and show the exactness of the mean-field theory under certain mild conditions. This is a generalization of the result of Mori for the non-random and spin-glass cases. To…

Statistical Mechanics · Physics 2015-06-18 Junichi Tsuda , Hidetoshi Nishimori