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The amplitude for ordinary muon capture on the proton is evaluated, through the first four orders in the expansion parameter, in a manifestly Lorentz invariant form of baryon chiral perturbation theory. Expressions for the low energy…

High Energy Physics - Phenomenology · Physics 2008-11-26 Shung-ichi Ando , Harold W. Fearing

We adopt the heavy baryon chiral perturbation theory to calculate the $\Sigma_cN$ interaction to the next-to-leading order. We consider the contact interactions, one-pion-exchange contributions, two-pion-exchange diagrams, and…

Nuclear Theory · Physics 2020-07-01 Lu Meng , Bo Wang , Shi-Lin Zhu

Charm and bottom mesons and baryons are incorporated into a low energy chiral Lagrangian. Interactions of the heavy hadrons with light octet Goldstone bosons are studied in a framework which represents a synthesis of chiral perturbation…

High Energy Physics - Phenomenology · Physics 2010-11-01 Peter Cho

In the framework of chiral perturbation theory we investigate whether, in the presence of nucleons, a many-particle system may lower its energy density by changing its mesonic vacuum from a homogeneous to a spiral configuration. Numerical…

High Energy Physics - Phenomenology · Physics 2011-12-02 Daniel Arnold

We investigate threshold pion photoproduction in the framework of heavy baryon chiral perturbation theory. We give the expansion of the electric dipole amplitude $E_{0+}$ to three orders in $\mu$, the ratio of the pion to nucleon mass, and…

High Energy Physics - Phenomenology · Physics 2009-09-25 V. Bernard , N. Kaiser , Ulf-G. Meißner

After an introduction to chiral perturbation theory, the effective field theory of the standard model at low energies, a brief overview is given of applications to light-flavour physics. Three topics in the strong interactions of…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Ecker

Electroproduction of pions on the nucleon near the threshold is analyzed within the framework of baryon chiral perturbation theory. We give a thorough discussion of the low--energy theorems related to charged and neutral…

High Energy Physics - Phenomenology · Physics 2016-09-01 V. Bernard , N. Kaiser , T. -S. H. Lee , Ulf-G. Meißner

We review on a chiral power counting scheme for in-medium chiral perturbation theory with nucleons and pions as degrees of freedom \cite{ref}. It allows for a systematic expansion taking into account local as well as pion-mediated…

Nuclear Theory · Physics 2012-06-13 J. A. Oller

Elastic pion-pion and pion-nucleon scattering are reviewed in the context of chiral perturbation theory. Theoretical results from systematic low-energy expansions to O(p^6) for pion-pion and to O(p^3) for pion-nucleon scattering are…

High Energy Physics - Phenomenology · Physics 2009-10-30 Gerhard Ecker

Recent attempts to determine the pion polarizability by dispersion relations yield values that disagree with the predictions of chiral perturbation theory. These dispersion relations are based on specific forms for the absorptive part of…

High Energy Physics - Phenomenology · Physics 2014-11-20 B. Pasquini , D. Drechsel , S. Scherer

Heavy baryon chiral perturbation theory including spin 3/2 delta resonances as effective degrees of freedom is reviewed. The theory admits a systematic expansion in the small scale $\epsilon$, where $\epsilon$ collectively denotes soft…

High Energy Physics - Phenomenology · Physics 2009-10-30 Joachim Kambor

The chiral expansion of nucleon properties such as mass, magnetic moment, and magnetic polarizability are investigated in the framework of chiral perturbation theory, with and without the heavy-baryon expansion. The analysis makes use of a…

High Energy Physics - Phenomenology · Physics 2014-11-21 J. M. M. Hall , V. Pascalutsa

Fundamental issues involving nuclei in the celebrated solar neutrino problem are discussed in terms of an effective field theory adapted to nuclear few-body systems, with a focus on the proton fusion process and the hep process. Our…

Nuclear Theory · Physics 2009-11-06 Tae-Sun Park , Kuniharu Kubodera , Dong-Pil Min , Mannque Rho

I propose a prescription for separating the high- and low-energy contributions in effective field theories. This prescription allows a relativistic treatment of matter fields in chiral perturbation theory while the power counting remains…

High Energy Physics - Phenomenology · Physics 2008-02-03 Hua-Bin Tang

We give a brief review of the theoretical description of low energy pion-pion scattering by the combined use of Chiral Perturbation Theory and Roy equations, an update of the Regge parametrization of $\pi\pi$ cross sections at high…

High Energy Physics - Phenomenology · Physics 2010-11-05 Irinel Caprini , Gilberto Colangelo , Heinrich Leutwyler

This article provides a pedagogical introduction to the basic concepts of chiral perturbation theory and is designed as a text for a two-semester course on that topic. Chapter 1 serves as a general introduction to the empirical and…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Scherer

Based on an effective chiral theory of pseudoscalar, vector, and axial-vector mesons, the coefficients of the chiral perturbation theory are predicted. There is no new parameter in these predictions.

High Energy Physics - Phenomenology · Physics 2007-05-23 Bing An Li

We briefly outline the so-called extended on-mass-shell renormalization scheme for manifestly Lorentz-invariant baryon chiral perturbation theory which provides a simple and consistent power counting for renormalized diagrams. We comment on…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Fuchs , M. R. Schindler , J. Gegelia , S. Scherer

We compute the polarisability of the nucleon to leading order in chiral perturbation theory. The contributions from kaons and baryon resonances as intermediate states are included in addition to the contribution from pions and nucleons that…

High Energy Physics - Phenomenology · Physics 2009-10-22 Malcolm N. Butler , Martin J. Savage

Weak pion production off the nucleon at low energies has been systematically investigated in manifestly relativistic baryon chiral perturbation theory with explicit inclusion of the $\Delta$(1232) resonance. Most of the involved low-energy…

High Energy Physics - Phenomenology · Physics 2018-10-10 De-Liang Yao , Luis Alvarez-Ruso , Astrid N. Hiller Blin , M. J. Vicente Vacas