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We show that from analysis of time-ordered diagrams for the two-nucleon $T$-matrix in chiral perturbation theory it follows that low energy nucleon dynamics is governed by the generalized dynamical equation, which was derived in [J.Phys.A.,…

Nuclear Theory · Physics 2007-05-23 Renat Kh. Gainutdinov , Aigul A. Mutygullina

We review a large body of predictions obtained within the framework of relativistic meson theory together with the Dirac-Brueckner-Hartree-Fock approach to nuclear matter and finite nuclei. The success of this method has been largely…

Nuclear Theory · Physics 2017-01-12 Herbert Müther , Francesca Sammarruca , Zhongyu Ma

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

Studies of competing orders in 1D magnetic chains have attracted considerable attention in recent years, as the presence of long-range Heisenberg interactions is found to allow interesting quantum phase transitions. We investigate here the…

Strongly Correlated Electrons · Physics 2020-11-25 E. Vernek , O. Ávalos-Ovando , S. E. Ulloa

We study the nonperturbative renormalization of the nucleon-nucleon (NN) interaction at next-to-leading order (NLO) and next-to-next-to-leading order (NNLO) of chiral effective field theory. A systematic variation of the cutoff parameter is…

Nuclear Theory · Physics 2013-11-20 E. Marji , A. Canul , Q. MacPherson , R. Winzer , Ch. Zeoli , D. R. Entem , R. Machleidt

I discuss in this lecture how to make a connection between effective chiral Lagrangians -- low-energy effective theory of QCD -- and Landau Fermi liquid theory extended by Migdal to nuclear matter. The practical purpose of such a connection…

Nuclear Theory · Physics 2008-11-26 Mannque Rho

The quantum phase-space approach allows one to define relativistic spatial distributions inside a target with arbitrary spin and arbitrary average momentum. We apply this quasiprobabilistic formalism to the whole electromagnetic…

High Energy Physics - Phenomenology · Physics 2023-01-11 Yi Chen , Cédric Lorcé

In the partonic (or light-front) description of relativistic systems the electromagnetic form factors are expressed in terms of frame-independent charge and magnetization densities in transverse space. This formulation allows one to…

High Energy Physics - Phenomenology · Physics 2015-06-16 C. Granados , C. Weiss

We present a new chiral expansion scheme for the nucleon-nucleon scattering amplitude which preserves unitarity exactly. Our effective field theory builds on the power counting rules for 2-nucleon reducible diagrams proposed in \cite{lutz}.…

Nuclear Theory · Physics 2010-12-16 M. Lutz

We present the first study of pairing in nuclei including three-nucleon forces. We perform systematic calculations of the odd-even mass staggering generated using a microscopic pairing interaction at first order in chiral low-momentum…

Nuclear Theory · Physics 2015-03-19 Thomas Lesinski , Kai Hebeler , Thomas Duguet , Achim Schwenk

Three-nucleon forces are an essential ingredient for an accurate description of nuclear few- and many-body systems. However, implementing them directly in many-body calculations is technically very challenging. Thus, there is a need for an…

Nuclear Theory · Physics 2021-01-07 Lukas Treuer

We derive the short-range contributions and the leading relativistic corrections to the three-nucleon force at next-to-next-to-next-to-leading order in the chiral expansion.

Nuclear Theory · Physics 2013-05-29 V. Bernard , E. Epelbaum , H. Krebs , U. -G. Meißner

The threshold region for processes of hadronic and nuclear interactions is very interesting for a theoretical as well as an experimental point of view. In this region one can apply different physical methods, starting from classical current…

Nuclear Theory · Physics 2007-05-23 Egle Tomasi-Gustafsson , Michail P. Rekalo

We present a relativistic chiral theory of nuclear matter which includes the effect of confinement. Nuclear binding is obtained with a chiral invariant scalar background field associated with the radial fluctuations of the chiral condensate…

Nuclear Theory · Physics 2009-01-19 G. Chanfray , M. Ericson

In this paper, we have applied a three-dimensional approach for calculation of the relativistic nucleon-nucleon potential. The quadratic operator relation between the non-relativistic and the relativistic nucleon-nucleon interactions is…

Nuclear Theory · Physics 2017-02-07 M. R. Hadizadeh , M. Radin

We compute from chiral two- and three-nucleon interactions the energy per particle of symmetric nuclear matter and pure neutron matter at third-order in perturbation theory including self-consistent second-order single-particle energies.…

Nuclear Theory · Physics 2017-04-05 J. W. Holt , N. Kaiser

In the framework of chiral effective field theory of delta resonances, nucleons and pions interacting with background gravitational field we calculate the gravitational form factors of the nucleon up to fourth order in the small scale…

High Energy Physics - Phenomenology · Physics 2024-01-25 H. Alharazin

We have quantified the statistical uncertainties of the low-energy coupling-constants (LECs) of an optimized nucleon-nucleon (NN) interaction from chiral effective field theory ($\chi$EFT) at next-to-next-to-leading order (NNLO). In…

Nuclear Theory · Physics 2015-06-10 A. Ekström , B. D. Carlsson , K. A. Wendt , C. Forssén , M. Hjorth-Jensen , R. Machleidt , S. M. Wild

Realistic nuclear potentials, derived within chiral perturbation theory, are a major breakthrough in modern nuclear structure theory, since they provide a direct link between nuclear physics and its underlying theory, namely the QCD. As a…

Nuclear Theory · Physics 2016-05-18 L. Coraggio , A. Gargano , J. W. Holt , N. Itaco , R. Machleidt , L. E. Marcucci , F. Sammarruca

The standard way to demonstrate the relevance of chiral symmetry for the NN interaction is to consider higher partial waves of NN scattering which are controlled entirely by chiral pion-exchanges (since contacts vanish). However, in…

Nuclear Theory · Physics 2021-01-19 H. Alanazi , R. Machleidt