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The aim of this chapter, focused on relativistic mean-field models and part of the Encyclopedia of Nuclear Physics, is to provide an introductory, self-contained discussion accessible to a broad audience, including advanced undergraduate…

Nuclear Theory · Physics 2026-04-10 J. Piekarewicz

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

Within the relativistic mean-field approach, we extend the Miyazaki model, where the NN$\sigma$ and NN$\omega$ interactions are modified to suppress the couplings between positive- and negative-energy states of a nucleon in matter. Assuming…

Nuclear Theory · Physics 2008-11-26 Kenta Minagawa , Masahiro Kawabata , Koichi Saito

We analyzed the results for finite nuclei and infinite nuclear and neutron matter using the standard $\sigma-\omega$ model and with the effective field theory. For the first time, we have shown here quantitatively that the inclusion of…

Nuclear Theory · Physics 2007-05-23 P. Arumugam , B. K. Sharma , P. K. Sahu , S. K. Patra

We analyze the results for infinite nuclear and neutron matter using the standard relativistic mean field model and its recent effective field theory motivated generalization. For the first time, we show quantitatively that the inclusion in…

Nuclear Theory · Physics 2010-12-23 P. Arumugam , B. K. Sharma , P. K. Sahu , S. K. Patra , Tapas Sil , M. Centelles , X. Vinas

The properties of high-density nuclear and neutron matter are studied using a relativistic mean-field approximation to the nuclear matter energy functional. Based on ideas of effective field theory, nonlinear interactions between the fields…

Nuclear Theory · Physics 2009-10-30 Horst Mueller , Brian D. Serot

We investigate the influence of the adjustment procedure and the set of measured observables on the properties and predictive power of relativistic self-consistent mean-field models for the nuclear ground state. These studies are performed…

Nuclear Theory · Physics 2009-11-10 T. J. Buervenich , D. G. Madland , P. -G. Reinhard

We apply recently developed effective field theory nuclear models in mean field approximation (parameter sets G1 and G2) to describe ground-state properties of nuclei from the valley of $\beta$-stability up to the drip lines. For faster…

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

The Lagrangian density of standard relativistic mean-field (RMF) models with density-dependent meson-nucleon coupling vertices is modified by introducing couplings of the meson fields to derivative nucleon densities. As a consequence, the…

Nuclear Theory · Physics 2007-05-23 S. Typel

The aim of our contribution is to shed some light on open questions facing the high density nuclear many-body problem. We focus our attention on the conceptual issue of naturalness and its role for the baryon-meson coupling for nuclear…

Solar and Stellar Astrophysics · Physics 2014-09-04 C. A. Z. Vasconcellos , R. O. Gomes , V. Dexheimer , R. P. Negreiros , J. Horvath , D. Hadjimichef

A relativistic mean-field model is used to study the ground-state properties of neutron-rich nuclei. Nonlinear isoscalar-isovector terms, unconstrained by present day phenomenology, are added to the model Lagrangian in order to modify the…

Nuclear Theory · Physics 2009-11-10 B. G. Todd , J. Piekarewicz

Pairing correlations in symmetric nuclear matter are studied within a relativistic mean-field approximation based on a field theory of nucleons coupled to neutral ($\sigma$ and $\omega$) and to charged ($\varrho$) mesons. The Hartree-Fock…

Nuclear Theory · Physics 2016-09-08 F. Matera , G. Fabbri , A. Dellafiore

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

A recent paper [M. Rashdan, Phys. Rev. C 63, 044303 (2001)] introduces the new parameterization NL-RA1 of the relativistic mean-field model which is claimed to give a better description of nuclear properties than earlier ones. Using this…

Nuclear Theory · Physics 2009-11-07 M. Bender

The quantum hadrodynamics (QHD) model with minimal nucleon-meson couplings is generalized by introducing couplings of mesons to derivatives of the nucleon field in the Lagrangian density. This approach allows an effective description of a…

Nuclear Theory · Physics 2009-11-07 S. Typel , T. v. Chossy , H. H. Wolter

We describe and implement a procedure for determining the couplings of a Relativistic Mean-Field Theory (RMFT) that is optimized for application to neutron star phenomenology. In the standard RMFT approach, the couplings are constrained by…

Nuclear Theory · Physics 2022-11-23 Mark G. Alford , Liam Brodie , Alexander Haber , Ingo Tews

The relativistic mean field theory is applied to study some exotic properties of neutron rich nuclei as recently observed, namely, extension of the drip-line for $F$ nuclei from $^{29}F$ to $^{31}F$ and the appearence of a new shell closure…

Nuclear Theory · Physics 2007-05-23 B. K. Agrawal , Tapas Sil , S. K. Samaddar , J. N. De

Nuclear effective field theories (EFTs) have been developed over the last quarter-century with considerable impact on the description of light and even medium-mass nuclei. At the core of any EFT is a systematic expansion of observables,…

Nuclear Theory · Physics 2020-04-22 U. van Kolck

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

A relativistic approach to describe nuclear and in general strongly interacting matter is introduced and discussed. Here, not only the nuclear forces but also the masses of the nucleons are generated through meson fields. Within this…

Nuclear Theory · Physics 2015-09-02 S. Schramm
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