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Since Weinberg's proposal two decades ago, chiral effective field theory in the NN sector has been developed and applied up to order $O((Q/M_{hi})^4)$. In principle it could provide a model-independent description of nuclear force from QCD.…

Nuclear Theory · Physics 2017-08-23 C. J. Yang , Bingwei Long

We study the two-pion exchange potential at next-to-next-to-leading order in chiral effective field theory. We propose a new cut-off scheme for the pion loop integrals based on spectral function regularization. We show that this method…

Nuclear Theory · Physics 2014-11-18 Evgeny Epelbaum , Walter Glöckle , Ulf-G. Meißner

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

Recent successes in {\it ab initio} calculations of light nuclei (A=2-6) will be reviewed and correlated with the dynamical consequences of chiral symmetry. The tractability of nuclear physics evinced by these results is evidence for that…

Nuclear Theory · Physics 2010-05-27 J. L. Friar

Modern theory approaches for describing atomic nuclei often make use of on an effective theory that constructs the interaction between nucleons systematically based on Quantum Chromodynamics (QCD), exploiting constraints arising from the…

Nuclear Theory · Physics 2025-11-18 Songlin Lyu , Lin Zuo , Rui Peng , Sebastian König , Bingwei Long

The extrapolation of nucleon axial charge $g_A$ is investigated within the framework of heavy baryon chiral effective field theory. The intermediate octet and decuplet baryons are included in the one loop calculation. Finite range…

High Energy Physics - Phenomenology · Physics 2017-01-04 Hongna Li , Ping Wang

We construct the three-dimensional effective field theory which reproduces low-momentum static correlation functions in four-dimensional quantum field theories with U(1) axial anomalies and a dynamical vector gauge field, in thermal…

High Energy Physics - Theory · Physics 2013-11-27 Kristan Jensen , Pavel Kovtun , Adam Ritz

By incorporating hidden scale symmetry and hidden local symmetry in nuclear effective field theory, combined with double soft-pion theorem, we predict that the Gamow-Teller operator coming from the space component of the axial current…

Nuclear Theory · Physics 2018-09-26 Yan-Ling Li , Yong-Liang Ma , Mannque Rho

We present the first nucleon-nucleon potential at next-to-next-to-next-to-leading order (fourth order) of chiral perturbation theory. Charge-dependence is included up to next-to-leading order of the isospin-violation scheme. The accuracy…

Nuclear Theory · Physics 2009-11-10 D. R. Entem , R. Machleidt

We report on the recent developments of a new effective field theory for nuclear matter [1,2,3]. We present first the nuclear matter chiral power counting that takes into account both short-- and long--range inter-nucleon interactions. It…

Nuclear Theory · Physics 2011-01-04 A. Lacour , U. -G. Meissner , J. A. Oller

Chiral effective field theory has established itself as the method of choice to study nuclear forces and low-energy nuclear dynamics. I review the status and prospects of this approach and discuss ongoing efforts to advance the precision…

Nuclear Theory · Physics 2015-10-27 Evgeny Epelbaum

We extend the renormalizability study of the formulation of chiral effective field theory with a finite cutoff, applied to nucleon-nucleon scattering, by taking into account non-perturbative effects. We consider the nucleon-nucleon…

Nuclear Theory · Physics 2023-04-19 A. M. Gasparyan , E. Epelbaum

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

The renormalization of singular chiral potentials as applied to NN scattering and the structure of the deuteron is discussed. It is shown how zero range theories may be implemented non-perturbatively as constrained from known long range NN…

Nuclear Theory · Physics 2008-11-26 E. Ruiz Arriola , M. Pavon Valderrama

We derive the leading contribution to the four-nucleon force within the framework of chiral effective field theory. It is governed by the exchange of pions and the lowest-order nucleon-nucleon contact interaction and includes effects due to…

Nuclear Theory · Physics 2009-07-28 E. Epelbaum

The past two decades have seen a revolution in ab initio calculations of nuclear properties. One key element has been the development of a rigorous effective interaction theory, applying unitary transformations to soften the nuclear…

After outlining the basic ideas of nuclear chiral perturbation theory, I discuss its application, presenting three examples which I believe are of great current interest: (1) Exchange currents in those cases where the leading chiral-order…

Nuclear Theory · Physics 2007-05-23 K. Kubodera

We construct the Chiral Perturbation Theory operators for neutron-antineutron oscillations and use these to estimate chiral and finite volume corrections at one-loop order.

High Energy Physics - Phenomenology · Physics 2018-01-17 Johan Bijnens , Erik Kofoed

We will give a short introduction to the one-nucleon sector of chiral perturbation theory and will address the issue of a consistent power counting and renormalization. We will discuss the infrared regularization and the extended…

Nuclear Theory · Physics 2008-11-26 Stefan Scherer

The axial exchange current operator that arises from the coupling of the axial field to the pion and effective scalar field in nuclei is constructed. The spatial dependence of this exchange current operator may be determined directly from…

Nuclear Theory · Physics 2009-10-22 K. Tsushima , D. O. Riska