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I discuss the conditions under which the application of chiral perturbation theory to the NN potential gives reliable results for NN scattering phase shifts. ChiPT also yields a convergent expansion for the deuteron charge operator. For…

Nuclear Theory · Physics 2015-05-20 Daniel R. Phillips

The objectives of the present work are twofold. The first is to address and resolve some of the differences present in independent, chiral-effective-field-theory (\chiEFT) derivations up to one loop, recently appeared in the literature, of…

Nuclear Theory · Physics 2015-06-12 M. Piarulli , L. Girlanda , L. E. Marcucci , S. Pastore , R. Schiavilla , M. Viviani

We present an approach to obtain new forms of the nuclear electromagnetic current, which is based on an integral form of the continuity equation. The procedure can be used to restore current conservation in model calculations in which the…

Nuclear Theory · Physics 2008-11-26 P. J. Barneo , J. E. Amaro , A. M. Lallena

Chiral effective field theory is being developed into a precision tool for low-energy nuclear physics. I review the state of the art in the two-nucleon sector, discuss applications to few-nucleon systems and address challenges that will…

Nuclear Theory · Physics 2019-08-27 E. Epelbaum

Recently developed chiral nucleon-nucleon (NN) forces at next-to-leading order (NLO) that describe NN phase shifts up to about 100 MeV fairly well have been applied to 3N and 4N systems. Faddeev-Yakubovsky equations have been solved…

Nuclear Theory · Physics 2009-11-06 E. Epelbaum , H. Kamada , A. Nogga , H. Witala , W. Glöckle , Ulf-G. Meißner

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

A goal of nuclear theory is to make quantitative predictions of low-energy nuclear observables starting from accurate microscopic internucleon forces. A major element of such an effort is applying unitary transformations to soften the…

Some recent developments in the description of nuclear forces and few-nucleon dynamics derived from chiral effective field theory are reviewed.

Nuclear Theory · Physics 2017-08-23 Ulf-G. Meißner , Véronique Bernard , Evgeny Epelbaum , Walter Glöckle

The effective chiral theory of the in-medium NN interactions is considered. The shallow bound states, which complicate the effective field theory analysis in vacuum do not exist in matter. We show that the next-to-leading order terms in the…

Nuclear Theory · Physics 2016-09-08 B. Krippa

Weak-interaction currents are studied in a recently proposed effective field theory of the nuclear many-body problem. The Lorentz-invariant effective field theory contains nucleons, pions, isoscalar scalar ($\sigma$) and vector ($\omega$)…

Nuclear Theory · Physics 2009-11-07 Sergei M. Ananyan , Brian D. Serot , John Dirk Walecka

A two-nucleon potential and consistent electromagnetic currents are derived in chiral effective field theory ($\chi$EFT) at, respectively, $Q^{2}$ (or N$^2$LO) and $e Q$ (or N$^3$LO), where $Q$ generically denotes the low-momentum scale and…

Nuclear Theory · Physics 2009-11-06 S. Pastore , L. Girlanda , R. Schiavilla , M. Viviani , R. B. Wiringa

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

We calculate the electromagnetic form factors of the nucleon up to fourth order in manifestly Lorentz-invariant chiral perturbation theory with vector mesons as explicit degrees of freedom. A systematic power counting for the renormalized…

Nuclear Theory · Physics 2015-06-26 Matthias R. Schindler , Jambul Gegelia , Stefan Scherer

In this talk I present some of the more recent developments within the Covariant Spectator Theory. My focus will be on aspects of the derivation of gauge invariant electromagnetic three-nucleon currents which are consistent with the…

Nuclear Theory · Physics 2009-11-10 Alfred Stadler

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

We present an accurate nucleon-nucleon ($NN$) potential based upon chiral effective Lagrangians. The model includes one- and two-pion exchange contributions up to chiral order three. We show that a quantitative fit of the $NN$ $D$-wave…

Nuclear Theory · Physics 2010-04-06 D. R. Entem , R. Machleidt

We estimate four-nucleon force effects between different 4He wave functions by calculating the expectation values of four-nucleon potentials which were recently derived within the framework of chiral effective field theory. We find that the…

Nuclear Theory · Physics 2007-05-23 D. Rozpedzik , J. Golak , R. Skibinski , H. Witala , W. Gloeckle , E. Epelbaum , A. Nogga , H. Kamada

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 nucleon-deuteron radiative capture process is investigated using the chiral nuclear potentials and the electromagnetic currents developed by the Bochum-Bonn group. While the strong interaction is taken up to the next-to-next-to-leading…

Nuclear Theory · Physics 2015-06-23 R. Skibinski , J. Golak , D. Rozpedzik , K. Topolnicki , H. Witala

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