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We explore three different classes of relativistic approaches applied to the description of dense nuclear matter: a Walecka-type relativistic mean field model (RMF), an extension including an effective chiral potential (RMF-C) and a further…

Nuclear Theory · Physics 2022-05-17 R. Somasundaram , J. Margueron , G. Chanfray , H. Hansen

Considering well localized atom, the mean field theory (MFT) was applied to replace the operators by equivalent expectation values. The Rabi model was reduced to a fourth orders NDE describing atoms position. Solution by the harmonic…

Quantum Physics · Physics 2020-04-22 Ghasem Asadi Cordshooli , Mehdi Mirzaee

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

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

The link between non-linear chiral effective Lagrangians and the Walecka model description of bulk nuclear matter [1] is questioned. This fact is by itself due to the Mean Field Approximation (MFA) which in nuclear mater makes the picture…

Nuclear Theory · Physics 2007-05-23 A. Delfino , M. Malheiro , T. Frederico

The relativistic mean field approach (RMF) is well known for describing accurately binding energies and nucleon distributions in atomic nuclei throughout the nuclear chart. The random phase approximation (RPA) built on top of the RMF is…

Nuclear Theory · Physics 2008-11-26 Nguyen Van Giai , Haozhao Liang , Jie Meng

We study nuclear matter and finite nuclei in terms of the quark mean field (QMF) model, in which we describe the nucleon using the constituent quark model. The meson mean fields, in particular the sigma meson, created by other nucleons act…

Nuclear Theory · Physics 2009-10-31 H. Shen , H. Toki

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

The Debye screening masses of the $\sigma$, $\omega$ and neutral $\rho$ mesons and the photon are calculated in the relativistic mean-field approximation. As the density of the nucleon increases, all the screening masses of mesons increase.…

Nuclear Theory · Physics 2009-11-07 Bao-Xi Sun , Xiao-Fu Lu , Peng-Nian Shen , En-Guang Zhao

A regularization renormalization method ($RRM$) in quantum field theory ($QFT$) is discussed with simple rules: Once a divergent integral $I$ is encountered, we first take its derivative with respect to some mass parameter enough times,…

Quantum Physics · Physics 2010-07-20 Guang-jiong Ni , Jianjun Xu , Senyue Lou

The development of systematic effective field theories (EFTs) for nuclear forces and advances in solving the nuclear many-body problem have greatly improved our understanding of dense nuclear matter and the structure of finite nuclei. For…

Nuclear Theory · Physics 2025-09-30 Brendan T. Reed , Matthias Heinz , Pierre Arthuis , Achim Schwenk , Ingo Tews

A Fortran program for the calculation of the ground state properties of axially deformed even-even nuclei in the relativistic framework is presented. In this relativistic mean field (RMF) approach a set of coupled differential equations…

Nuclear Theory · Physics 2009-10-30 P. Ring , Y. K. Gambhir , G. A. Lalazissis

We develop a relativistic mean field (RMF) description of deformed nuclei with the pairing correlations in the BCS approximation. The treatment of the pairing correlations for nuclei with the Fermi surface being close to the threshold of…

Nuclear Theory · Physics 2009-11-10 L. S. Geng , H. Toki , S. Sugimoto , J. Meng

Relativistic mean-field models (RMF) based on the exchange of $\sigma$, $\omega$, and $\rho$ mesons including non-linear nucleon-$\sigma$ couplings and density-dependent $\rho$ coupling, are considered. A large set of models is generated…

Nuclear Theory · Physics 2025-04-01 Luca Passarella , Jerome Margueron , Giuseppe Pagliara

Asymmetric nuclear matter is studied in the frame of relativistic mean-field theory, using scalar-isoscalar sigma, vector-isoscalar omega meson together with their selfinteractions, vector-isovector rho meson with its cross-interaction with…

Nuclear Theory · Physics 2009-11-10 Juraj Kotulic Bunta , Stefan Gmuca

The quark mean field model, which describes the nucleon using the constituent quark model, is applied to investigate the properties of finite nuclei. The couplings of the scalar and vector mesons with quarks are made density dependent…

Nuclear Theory · Physics 2009-11-07 Y. H. Tan , H. Shen , P. Z. Ning

A unified treatment of normal nuclear matter described by Walecka's mean field theory and kaon condensed matter described by chiral perturbation theory is proposed in terms of mean fields of an effective chiral Lagrangian. The BR scaling is…

Nuclear Theory · Physics 2009-10-28 G. E. Brown , Mannque Rho

Starting from full quantum field theory, various mean field approaches are derived systematically. With a full consideration of external source dependence, the stationary phase approximation of an action gives a nuclear mean field theory…

Nuclear Theory · Physics 2007-05-23 Suk-Joon Lee

Based on the Relativistic Mean Field (RMF) approach the existence of the broken pseudo-spin symmetry is investigated. Both spherical RMF and constrained deformed RMF calculations are carried out employing realistic Lagrangian parameters for…

Nuclear Theory · Physics 2009-10-31 G. A. Lalazissis , Y. K. Gambhir , J. P. Maharana , C. S. Warke , P. Ring

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
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