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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

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

We consider strong interactions at finite density in mean field theory, through an effective lagrangian that can describe both nuclear matter and quark matter. This lagrangian has three couplings that are all fixed by experiment and no…

High Energy Physics - Phenomenology · Physics 2007-05-23 Vikram Soni , Dipankar Bhattacharya

We propose a novel idea to construct an effective interaction under energy-density-functional (EDF) theories which is adaptive to the enlargement of the model space. Guided by effective field theory principles, iterations of interactions as…

Nuclear Theory · Physics 2022-07-22 C. J. Yang , W. G. Jiang , S. Burrello , M. Grasso

In the first part of the talk, I discussed the nature of the effective theory that describes the properties of the pion-nucleon-interaction at low energies, using the static model as a starting point. In the second part, I then pointed out…

High Energy Physics - Phenomenology · Physics 2011-04-15 H. Leutwyler

This work aim to study the various thermal characteristics of nuclei in view of the saturation and critical behavior of infinite nuclear matter. The free energy of a nucleus is parametrized using the density and temperature-dependent…

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

Precision spectroscopic measurements of isotope shifts have recently reached a high level of accuracy. Tests of King non-linearity (NL) along isotope chains have been proposed as a tool to search for fifth-force mediators. At the same time,…

High Energy Physics - Phenomenology · Physics 2025-12-10 Benoît Assi , Sam Carey , Sebastian Jäger , Gabriel Lee , Gil Paz , Gilad Perez , Jure Zupan

In this PhD thesis I make use of the "Effective Field Theory of Gravity for Extended Objects" by Goldberger and Rothstein in order to investigate theories of gravity and to take a different point of view on the physical information that can…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Umberto Cannella

Effective field theory provides a powerful framework to exploit a separation of scales in physical systems. In these lectures, we discuss some general aspects of effective field theories and their application to few-body physics. In…

Nuclear Theory · Physics 2017-06-28 H. -W. Hammer , Sebastian König

The $\eta$-nucleon ($\eta$N) interactions are deduced from the heavy baryon chiral perturbation theory up to the next-to-leading-order terms. Combining the relativistic mean-field theory for nucleon system, we have studied the in-medium…

Nuclear Theory · Physics 2009-11-11 X. H. Zhong , G. X. Peng , Lei Li , P. Z. Ning

It is shown that the equation of state of nuclear matter can be determined within the mean-field theory of $\sigma \omega$ model provided only that the nucleon effective mass curve is given. We use a family of the possible nucleon effective…

Nuclear Theory · Physics 2008-11-26 Jae Hwang Lee , Young Jae Lee , Suk-Joon Lee

New effective $\Lambda N$ interactions are proposed for the density dependent relativistic mean field model. The multidimensionally constrained relativistic mean field model is used to calculate ground state properties of eleven known…

Nuclear Theory · Physics 2021-12-08 Yu-Ting Rong , Zhong-Hao Tu , Shan-Gui Zhou

Based on the properties of the critical and the actual effective masses of sigma and omega mesons, criteria to estimate the values of the isoscalar nonlinear terms of the standard relativistic mean field model that reproduce stable…

Nuclear Theory · Physics 2009-12-14 A. Sulaksono , T. J. Buervenich , P. -G. Reinhard , J. A. Maruhn

Zero-range effective interactions are commonly used in nuclear physics to describe a many-body system in the mean-field framework. If they are employed in beyond- mean-field models, an artificial ultraviolet divergence is generated by the…

Nuclear Theory · Physics 2013-04-19 K. Moghrabi , M. Grasso , X. Roca-Maza , G. Coló , N. Van Giai

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

We introduce a new class of effective interactions to be used within the energy-density-functional approaches. They are based on regularized zero-range interactions and constitute a consistent application of the effective-theory methodology…

Nuclear Theory · Physics 2012-10-29 J. Dobaczewski , K. Bennaceur , F. Raimondi

Nuclear processes involving momenta much below the mass of the pion may be described by an effective field theory in which the pions do not appear as explicit degrees of freedom. The effects of the pion and all other virtual hadrons are…

Nuclear Theory · Physics 2008-11-26 Jiunn-Wei Chen , Gautam Rupak , Martin J. Savage

We discuss the relation between the effective vector meson mass and equation of state (EOS) for nuclear matter. In the mean field approximation, the EOS becomes softer due to the reduction of the effective omega-meson mass, if we assume…

Nuclear Theory · Physics 2007-05-23 Hiroaki Kouno

We review the effective field theories (EFTs) developed for few-nucleon systems. These EFTs are controlled expansions in momenta, where certain (leading-order) interactions are summed to all orders. At low energies, an EFT with only contact…

Nuclear Theory · Physics 2009-11-07 P. F. Bedaque , U. van Kolck

Self-consistent mean-field models are a powerful tool in the investigation of nuclear structure and low-energy dynamics. They are based on effective energy-density functionals, often formulated in terms of effective density-dependent…

Nuclear Theory · Physics 2008-11-26 J. R. Stone , P. -G. Reinhard
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