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Two-particle two-hole contributions to electromagnetic response functions are computed in a fully relativistic Fermi gas model. All one-pion exchange diagrams that contribute to the scattering amplitude in perturbation theory are…

Nuclear Theory · Physics 2011-11-10 J. E. Amaro , C. Maieron , M. B. Barbaro , J. A. Caballero , T. W. Donnelly

I describe how effective chiral Lagrangian field theories work for nuclei and nuclear matter by going from the deuteron to dense hadronic matter via BR scaling and Landau Fermi-liquid fixed point parameters, with possible applications to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mannque Rho

A variety of strong and electroweak interaction properties of the pion and the light scalar sigma meson are computed in a relativistic quark model. Under the assumption that the resulting coupling of these mesons to the constituent quarks…

High Energy Physics - Phenomenology · Physics 2009-11-10 Amand Faessler , Th. Gutsche , M. A. Ivanov , V. E. Lyubovitskij , P. Wang

We present a relativistic chiral mean field (RCMF) model, which is a method for the proper treatment of pion-exchange interaction in the nuclear many-body problem. There the dominant term of the pionic correlation is expressed in…

Nuclear Theory · Physics 2012-09-11 Yoko Ogawa , Hiroshi Toki , Setsuo Tamenaga , Akihiro Haga

Interacting fermion systems in one dimension, which in the low energy approximation are described by Luttinger liquid theory, can be reformulated as systems of weakly interacting particles with fractional exchange statistics. This is shown…

Strongly Correlated Electrons · Physics 2021-04-19 Jon Magne Leinaas

We construct an effective Lagrangian for interacting pions with non-relativistic energies. The coupling constants can be expressed in terms of the different scattering lengths and slopes. When used in the calculation of the pionium decay…

High Energy Physics - Phenomenology · Physics 2009-10-31 Xinwei Kong , Finn Ravndal

The logarithmic sigma model describes the interactions between quarks via sigma and pion exchanges. The effective mesonic potential is extended to the finite temperature and it is numerically calculated using n-midpoint rule. Meson…

General Physics · Physics 2013-08-27 M. Abu-shady

We present a relativistic procedure for the chiral expansion of the two-pion exchange component of the $NN$ potential, which emphasizes the role of intermediate $\pi N$ subamplitudes. The relationship between power counting in $\pi N$ and…

Nuclear Theory · Physics 2014-11-18 R. Higa , M. R. Robilotta

We have recently performed a relativistic $O(q^4)$ chiral expansion of the two-pion exchange $NN$ potential, and here we explore its configuration space content. Interactions are determined by three families of diagrams, two of which…

Nuclear Theory · Physics 2009-11-10 Renato Higa , Manoel R. Robilotta , Carlos A. da Rocha

We consider relativistic charged particle dynamics and relativistic magnetohydrodynamics using symplectic structures and actions given in terms of co-adjoint orbits of the Poincar\'e group. The particle case is meant to clarify some points…

High Energy Physics - Theory · Physics 2014-11-19 Dimitra Karabali , V. P. Nair

Machine learning potentials (MLPs) represent atomic interactions with quantum mechanical accuracy offering an efficient tool for atomistic simulations in many fields of science. However, most MLPs rely on local atomic energies without…

Chemical Physics · Physics 2024-10-07 Emir Kocer , Redouan El Haouari , Christoph Dellago , Jörg Behler

In the first part of this paper, we use the framework of the Fermi liquid theory to derive model-independent relations between the slope parameters of the symmetry energy and of the incompressibility in nuclear matter to three-particle…

Nuclear Theory · Physics 2025-12-01 Wolfgang Bentz , Ian C. Cloët

A classical Lagrangian model of the Pauli potential is introduced. It is shown that the kinematic kinetic energy ($\sum \frac{1}{2} m v^2$) in the model approximately reproduces the energy of a free Fermi gas at low temperatures and at…

Nuclear Theory · Physics 2009-10-28 John J. Neumann , George Fai

We calculate the fermionic dispersion relations in the minimal standard model at finite temperature in presence of non-vanishing chemical potentials due to the CP-asymmetric fermionic background. The dispersion relations are calculated for…

High Energy Physics - Phenomenology · Physics 2009-10-31 John Morales , Carlos Quimbay , Frank Fonseca

The self-consistent random phase approximation (RPA) approach with the residual interaction derived from a relativistic point-coupling energy functional is applied to evaluate the isospin symmetry-breaking corrections {\delta}c for the…

Nuclear Theory · Physics 2015-03-19 Z. X. Li , J. M. Yao , H. Chen

The relativistic mean field approach, within a theoretical framework known as the chiral confining model incorporating chiral symmetry breaking and quark confinement effects, is applied for the first time to finite nuclei. Model parameters…

Nuclear Theory · Physics 2026-05-27 M. Chamseddine , J. -P. Ebran , E. Khan , B. K. Pradhan , J. Margueron , H. Hansen , G. Chanfray

A comparison of impulse approximation calculations for the (e,e'p) reaction, based on the Dirac equation and the Schrodinger one is presented. Trivial (kinematics) differences are indicated, as well as how to remove them from the standard…

Nuclear Theory · Physics 2007-05-23 J. M. Udias , Javier R. Vignote , E. Moya de Guerra , A. Escuderos , J. A. Caballero

The quasielastic longitudinal electromagnetic response function R_L is studied within the context of a model that extends our previous investigations of pionic correlations and currents. Four mesons are now employed (pion, rho, sigma and…

Nuclear Theory · Physics 2016-09-08 M. B. Barbaro , A. De Pace , T. W. Donnelly , A. Molinari

Chiral perturbation theory is extended to nonrelativistic systems with spontaneously broken symmetry. In the effective Lagrangian, order parameters associated with the generators of the group manifest themselves as effective coupling…

High Energy Physics - Phenomenology · Physics 2009-10-22 H. Leutwyler

Light meson ( $\pi,\ \sigma,\ a_0$) properties in the environment with chiral imbalance are analyzed with the help of meson effective Lagrangian associated with QCD. New spatial parity violating decays of scalar mesons arise as a result of…

High Energy Physics - Phenomenology · Physics 2017-07-20 A. A. Andrianov , V. A. Andrianov , D. Espriu , A. E. Putilova , A. V. Iakubovich