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The various dynamical scales below the pion mass involved in $\pi^{+}$ $\pi^{-}$ atoms are sequentially integrated out using non-relativistic effective field theory techniques. This allows us to systematically organise the corrections to…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Eiras , J. Soto

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

The three-body force is indispensable in nuclear energy density functionals which leads to a density dependent two-body term in the Hartree-Fock approach. Usually a single factional power of density dependency has been adopted. We consider…

Nuclear Theory · Physics 2016-02-17 Xueyu Xiong , Junchen Pei , Wenjun Chen

The operator product expansion (OPE) is applied in conjunction with Pionless effective field theory to study the short-rang structure of nuclei. By matching the OPE with the selected nuclear potentials for nucleon-nucleon scattering states,…

Nuclear Theory · Physics 2025-07-29 Jiexin Yu , Bingwei Long

The nuclear physics landscape has been redesigned as a sequence of effective field theories (EFTs) connected to the Standard Model through symmetries and lattice simulations of Quantum Chromodynamics (QCD). EFTs in this sequence are…

Nuclear Theory · Physics 2020-07-01 H. -W. Hammer , S. König , U. van Kolck

We optimize the nucleon-nucleon interaction from chiral effective field theory at next-to-next- to-leading order. The resulting new chiral force NNLOopt yields \chi^2 \approx 1 per degree of freedom for laboratory energies below…

We derive the equation of state of symmetric nuclear matter in a relativistic theory with $\sigma$ and $\omega$ exchange. We take a chiral version of this model which insures all the chiral constraints. Going beyond the mean field approach…

Nuclear Theory · Physics 2008-11-26 G. Chanfray , M. Ericson

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

The chiral effective field theory (ChEFT) is an extension of the chiral perturbation theory that includes the nuclear forces and weak currents at the hadronic and nuclear scales. We propose a systematic framework of parametrising the…

High Energy Physics - Phenomenology · Physics 2025-01-27 Hao Sun , Yi-Ning Wang , Jiang-Hao Yu

The present paper is the second of a series of publications that aim at investigating relevant directions to turn the nuclear energy density functional (EDF) method as an effective field theory (EFT). The EDF approach has known numerous…

Strongly Correlated Electrons · Physics 2024-03-07 Kilian Fraboulet , Jean-Paul Ebran

The chiral phase transition is investigated within the framework of the linear sigma model at finite temperature. We concentrate on the meson sector of the model and calculate the finite temperature effective potential in the Hartree…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nicholas Petropoulos

In this review we present the recent advances for calculations of the reactions $NN\to NN\pi$ using chiral effective field theory. Discussed are the next-to-next-to leading order loop contributions with nucleon and Delta-isobar for near…

Nuclear Theory · Physics 2015-06-17 Vadim Baru , Christoph Hanhart , Fred Myhrer

The recent progress in the studies of nuclear charge-exchange excitations with localized covariant density functional theory is briefly presented, by taking the fine structure of spin-dipole excitations in 16O as an example. It is shown…

Nuclear Theory · Physics 2014-03-26 H. Z. Liang , J. Meng , T. Nakatsukasa , Z. M. Niu , P. Ring , X. Roca-Maza , N. Van Giai , P. W. Zhao

Within the framework of Skyrme energy-density functional theory, the nucleus-nucleus potential is calculated and potential energy surface is obtained with different effective forces for accurately estimating the formation cross sections of…

Nuclear Theory · Physics 2022-06-28 Cheng Peng , Zhao-Qing Feng

Low-energy nuclear structure and reactions can be described in a systematically improvable way using the framework of chiral effective field theory. This requires solving the quantum mechanical many-body problem with regularized nuclear…

Nuclear Theory · Physics 2023-12-22 Hermann Krebs , Evgeny Epelbaum

A density dependent, effective nucleon-nucleon force of the Skyrme type is derived from the quark-meson coupling model -- a self-consistent, relativistic quark level description of nuclear matter. This new formulation requires no assumption…

Nuclear Theory · Physics 2010-02-17 P. A. M. Guichon , H. H. Matevosyan , N. Sandulescu , A. W. Thomas

We have developed a relativistic point-coupling model of nuclear many-body dynamics constrained by the low-energy sector of QCD. The effective Lagrangian is characterized by density-dependent coupling strengths determined by chiral one- and…

Nuclear Theory · Physics 2017-08-23 Paolo Finelli , Norbert Kaiser , Dario Vretenar , Wolfram Weise

An explicit expression of the generating functional of two-flavor low-energy QCD with external sources in the presence of non-vanishing nucleon densities has been derived recently [1]. Within this approach we derive power counting rules for…

Nuclear Theory · Physics 2008-11-26 Ulf-G. Meißner , José A. Oller , Andreas Wirzba

The effective field theory of NN interactions in nuclear matter is considered. Due to the Pauli principle the effective NN amplitude is not affected by the shallow bound states. We show that the next-to-leading order terms in the chiral…

Nuclear Theory · Physics 2007-05-23 B. Krippa

Nuclear theory has entered an exciting era. This is due to advances on many fronts, including the development of effective field theory and the renormalization group for nuclear forces, advances in ab-initio methods for nuclear structure,…

Nuclear Theory · Physics 2010-02-25 A. Schwenk