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A dynamical model for S-- and P--wave correlated $2 \pi$ (and $K \bar K$) exchange between a kaon and a nucleon is presented, starting from corresponding $N \bar N \rightarrow K \bar K$ amplitudes in the pseudophysical region, which have…

Nuclear Theory · Physics 2009-10-28 M. Hoffmann , J. W. Durso , K. Holinde , B. C. Pearce , J. Speth

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

As the residual interaction of quantum chromodynamics in low-energy region, the nucleon-nucleon (NN) potential can only be exactly described by the model picture now. In the Bonn potential, one of the most well-known NN interaction models,…

Nuclear Theory · Physics 2022-11-23 Jinniu Hu , Chencan Wang

Motivated by the recent progress in developing high-precision relativistic chiral nucleon-nucleon interactions, we study the antinucleon-nucleon interaction in a hybrid approach where the real part of the potential is constructed in the…

Nuclear Theory · Physics 2024-12-06 Yang Xiao , Jun-Xu Lu , Li-Sheng Geng

A supersymmetric inversion method is applied to the singlet $^1S_0$ and $^1P_1$ neutron-proton elastic phase shifts. The resulting central potential has a one-pion-exchange (OPE) long-range behavior and a parity-independent short-range…

Nuclear Theory · Physics 2009-11-07 J. -M. Sparenberg

We study pion--nucleon scattering with a chiral lagrangian of pions, nucleons, and $\Delta$-isobars. The scattering amplitude is evaluated to one-loop $Q^3$ order, where $Q$ is a generic small momentum, using a new approach which is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Paul J. Ellis , Hua-Bin Tang

We develop an extension of chiral perturbation theory to the $\Delta$(1232)-resonance energy region and apply it to investigate the pion electroproduction off the nucleon ($e^- N \to e^- N\pi$). We present a complete calculation of this…

High Energy Physics - Phenomenology · Physics 2008-11-26 Vladimir Pascalutsa , Marc Vanderhaeghen

We have performed a theoretical study of the axial Nucleon to Delta(1232) ($N\to\Delta$) transition form factors up to one-loop order in covariant baryon chiral perturbation theory within a formalism in which the unphysical spin-1/2…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. S. Geng , J. Martin Camalich , L. Alvarez-Ruso , M. J. Vicente Vacas

We present a study of the two-photon-exchange ($2\gamma$-exchange) corrections to the $S$-levels in muonic ($\mu$D) and ordinary (D) deuterium within the pionless effective field theory (pionless EFT). Our calculation proceeds up to…

Nuclear Theory · Physics 2022-11-17 Vadim Lensky , Franziska Hagelstein , Vladimir Pascalutsa

We present improved nucleon-nucleon potentials derived in chiral effective field theory up to next-to-next-to-next-to-leading order. We argue that the nonlocal momentum-space regulator employed in the two-nucleon potentials of Refs. [E.…

Nuclear Theory · Physics 2015-06-11 E. Epelbaum , H. Krebs , U. -G. Meißner

We show how the unitarized description of pion nucleon scattering within Heavy Baryon Chiral Perturbation Theory can be considerably improved, by a suitable reordering of the expansion over the nucleon mass. Within this framework, the…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Gómez Nicola , J. Nieves , J. R. Peláez , E. Ruiz Arriola

We present the results of a third order calculation of the pion-nucleon scattering amplitude in a chiral effective field theory with pions, nucleons and delta resonances as explicit degrees of freedom. We work in a manifestly Lorentz…

High Energy Physics - Phenomenology · Physics 2016-05-25 De-Liang Yao , D. Siemens , V. Bernard , E. Epelbaum , A. M. Gasparyan , J. Gegelia , H. Krebs , Ulf-G. Meißner

The leading order contributions of processes involving anomalous pion-photon vertices to forward spin-dependent Compton scattering from nucleons are considered in heavy-baryon chiral perturbation theory. These all involve the exchange of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Judith A. McGovern , Michael C. Birse

We show how to renormalize chiral two pion exchange perturbatively if one pion exchange has already been fully iterated at leading order. This particular choice corresponds to the implementation of the counting proposal of Nogga, Timmermans…

Nuclear Theory · Physics 2011-02-03 M. Pavon Valderrama

Chiral symmetry is consistently implemented in the two-nucleon problem at low-energy through the general effective chiral lagrangian. The potential is obtained up to a certain order in chiral perturbation theory both in momentum and…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Ordonez , L. Ray , U. van Kolck

Results from an ongoing study of baryon-baryon systems with strangeness S=-1 and -2 within chiral effective field theory are reported. The investigations are based on the scheme proposed by Weinberg which has been applied rather…

Nuclear Theory · Physics 2015-06-12 J. Haidenbauer

Heavy baryon chiral perturbation theory ($\chi$PT), where the $\Delta$ resonance is included, is used in order to examine the axial charged-current component of the weak interaction process at low neutrino energies. At leading chiral order…

Nuclear Theory · Physics 2019-03-13 Fred Myhrer

Quantum mechanical invariance principles dictate the most general operator structure that can be present in the nucleon-nucleon (NN) interaction. Five independent operators appear in the on-shell NN amplitude together with five…

Nuclear Theory · Physics 2025-01-17 B. McClung , Ch. Elster , D. R. Phillips

The present status of the chiral approach to the $NN$ interaction as proposed by Weinberg is discussed. The important role of correlation effects and explicit vector meson ($\rho$, $\omega$) exchange in the dynamics of baryon-baryon…

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

Near threshold neutral pion electroproduction on the deuteron is studied in the framework of baryon chiral perturbation theory at next-to-leading order in the chiral expansion. We develop the multipole decomposition for pion production off…

Nuclear Theory · Physics 2009-11-07 H. Krebs , V. Bernard , Ulf-G. Meißner
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