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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

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

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

A nuclear model is proposed where the nucleons interact by emitting and absorbing mesons, and where the mesons are treated explicitly. A nucleus in this model finds itself in a quantum superposition of states with different number of…

Nuclear Theory · Physics 2021-02-02 D. V. Fedorov

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

We have constructed a Lagrangian model (SIG-OM) with coupling of sigma and omega mesons in the relativistic mean-field theory. Properties of finite nuclei and nuclear matter have been explored with the new Lagrangian model. The study shows…

Nuclear Theory · Physics 2008-11-26 Maryam M. Haidari , Madan M. Sharma

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

In view of new constraints put forth by recent observations and measurements in the realm of astrophysics and nuclear physics, we update the non-linear realization of the sigma model as to reflect such constraints. By doing this, we obtain…

High Energy Astrophysical Phenomena · Physics 2015-07-17 V. Dexheimer , R. Negreiros , S. Schramm

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

A detailed study is made for the nucleon-nucleon interaction based on relativistic mean field theory in which the potential is explicitly expressed in terms of mass and the coupling constant of the meson fields. A unified treatment for…

Nuclear Theory · Physics 2015-05-20 S. K. Biswal , S. K. Singh , M. Bhuyan , S. K. Patra

This work presents a preliminary study of 147 relativistic mean-field (RMF) hadronic models used in the literature, regarding their behavior in the nuclear matter regime. We analyze here different kinds of such models, namely: (i) linear…

Starting from many quark interactions, we construct a nonlinear sigma-omega model at finite temperature and density. The mesons are introduced as auxiliary fields. Effective quark-meson couplings are strongly related to effective meson…

Nuclear Theory · Physics 2007-05-23 H. Kouno , T. Sakaguchi , K. Kashiwa , M. Hamada , H. Tokudome , M. Matsuzaki , M. Yahiro

The quark-meson coupling model, based on a mean field description of non-overlapping nucleon bags bound by the self-consistent exchange of $\sigma$, $\omega$ and $\rho$ mesons, is extended to investigate the properties of finite nuclei.…

Nuclear Theory · Physics 2010-02-17 P. A. M. Guichon , K. Saito , E. Rodionov , A. W. Thomas

We propose a few selected experimental approaches to show that new-generation instruments can give a direct access to significant observables on the density dependence of the symmetry energy in the nuclear equation of state. The form of…

Nuclear Theory · Physics 2010-05-12 P. Napolitani , M. Colonna , F. Gulminelli , E. Galichet , S. Piantelli , G. Verde , E. Vient

The search for a quasi bound $\eta$ meson in atomic nuclei is reviewed. This tentative state is studied theoretically as well as experimentally. The theory starts from elastic $\eta$ nucleon scattering which is derived from production data…

Nuclear Theory · Physics 2015-06-23 H. Machner

Strong interaction level shifts and widths in $\Sigma^-$ atoms are analyzed by using a $\Sigma$ nucleus optical potential constructed within the relativistic mean field approach. The analysis leads to potentials with a repulsive real part…

Nuclear Theory · Physics 2009-10-28 J. Mares , E. Friedman , A. Gal , B. K. Jennings

The possibility of extending the linear sigma-omega model by introducing a sigma-omega coupling phenomenologically is explored. It is shown that, in contrast to the usual Walecka model, not only the effective nucleon mass M* but also the…

Nuclear Theory · Physics 2009-11-06 K. C. Chung , C. S. Wang , A. J. Santiago , J. W. Zhang

The quark sigma model describes the quarks interacting via exchange the pions and sigma meson fields. A new version of mesonic potential is suggested in the frame of some aspects of the quantum chromodynamics (QCD). The field equations have…

Nuclear Theory · Physics 2013-08-07 M. Abu-Shady

Recent experiments studying the meson-nucleus interaction to extract meson-nucleus potentials are reviewed. The real part of the potentials quantifies whether the interaction is attractive or repulsive while the imaginary part describes the…

Nuclear Experiment · Physics 2017-10-25 V. Metag , M. Nanova , E. Ya. Paryev

In the annihilation of a positron with a bound atomic electron, the virtual gamma photon created may excite the atomic nucleus. We put forward this effect as a spectroscopic tool for an energy-selective excitation of nuclear transitions.…

Nuclear Theory · Physics 2018-05-09 N. A. Belov , Z. Harman
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