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We review recent progress in the understanding of low-energy baryon structure by means of chiral perturbation theory. In particular, we discuss the application of this formalism to the description of the quark mass dependence of recent…

High Energy Physics - Lattice · Physics 2010-11-15 J. Martin Camalich , L. S. Geng , M. J. Vicente Vacas

We apply the perturbative chiral quark model at one loop to analyze the electromagnetic form factors of the baryon octet. The analytic expressions for baryon form factors, which are given in terms of fundamental parameters of low-energy…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Cheedket , V. E. Lyubovitskij , Th. Gutsche , Amand Faessler , K. Pumsa-ard , Y. Yan

Quantum fluctuations in QCD influence nucleon structure and interactions, with pion production serving as a key probe of chiral dynamics. In this study, we present a lattice QCD calculation of multipole amplitudes at threshold, related to…

High Energy Physics - Lattice · Physics 2025-04-23 Yu-Sheng Gao , Zhao-Long Zhang , Xu Feng , Lu-Chang Jin , Chuan Liu , Ulf-G. Meißner

We calculate the one-photon loop radiative corrections to the charged pion-pair production process $\pi^-\gamma\to\pi^+\pi^-\pi^-$. In the low-energy region this reaction is governed by the chiral pion-pion interaction. The pertinent set of…

High Energy Physics - Phenomenology · Physics 2015-06-18 N. Kaiser , S. Petschauer

We present a detailed quark-model study of pion photoproduction within the effective Lagrangian approach. Cross sections and single-polarization observables are investigated for the four charge channels, $\gamma p\to \pi^+ n$, $\gamma n\to…

Nuclear Theory · Physics 2009-11-07 Q. Zhao , J. S. Al-Khalili , Z. -P. Li , R. L. Workman

I review aspects of chiral dynamics pertinent to the structure of baryons and few-nucleon systems, such as chiral extrapolations for the nucleon and the delta mass, double pion photoproduction off protons, single neutral pion…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ulf-G. Meißner

Consideration of the analytical properties of pion-induced baryon self-energies leads to new functional forms for the extrapolation of light baryon masses. These functional forms reproduce the leading non-analytic behavior of chiral…

High Energy Physics - Lattice · Physics 2015-06-25 Derek B. Leinweber , Anthony W. Thomas , Kazuo Tsushima , Stewart V. Wright

A calculational scheme is developed to evaluate chiral corrections to properties of composite baryons with composite pions. The composite baryons and pions are bound states derived from a microscopic chiral quark model. The model is…

High Energy Physics - Phenomenology · Physics 2009-11-07 P. J. A. Bicudo , G. Krein , J. E. F. T. Ribeiro

We present a comprehensive study of the electromagnetic form factor, the decay constant and the mass of the pion computed in lattice QCD with two degenerate O(a)-improved Wilson quarks at three different lattice spacings in the range…

High Energy Physics - Lattice · Physics 2015-06-16 Bastian B. Brandt , Andreas Juttner , Hartmut Wittig

We study light-quark observables by means of dynamical lattice QCD simulations using two flavours of twisted mass fermions at maximal twist. We employ chiral perturbation theory to describe our data for the pion mass and decay constant. In…

High Energy Physics - Lattice · Physics 2019-08-13 P. Dimopoulos , R. Frezzotti , G. Herdoiza , K. Jansen , C. Michael , C. Urbach

The process of the muon (pion) pair production with small invariant mass in the electron--positron high--energy annihilation, accompanied by emission of hard photon at large angles, is considered. We find that the Drell--Yan picture for…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. B. Arbuzov , E. Bartos , V. V. Bytev , E. A. Kuraev , Z. K. Silagadze

We re-investigate Adler's PCAC relation in the presence of an external electromagnetic field within the framework of QCD coupled to external fields. We discuss pion electroproduction within a tree-level approximation to chiral perturbation…

Nuclear Theory · Physics 2009-11-10 T. Fuchs , S. Scherer

Pion photoproduction amplitudes are calculated from a set of equations that have been derived by coupling an external photon to all places in a dressed pion-nucleon vertex. The calculation is consistent with gauge invariance, charge…

Nuclear Theory · Physics 2019-03-13 T. Skawronski , B. Blankleider , A. N. Kvinikhidze

Methods are set forth for determining the hadron electromagnetic structure in the sub-$N\bar{N}$-threshold timelike region of the virtual-photon ``mass'' and for investigating the nucleon weak structure in the spacelike region from…

Nuclear Theory · Physics 2009-11-10 Yu. S. Surovtsev , T. D. Blokhintseva , P. Bydzovsky , M. Nagy

Using the example of the elastic $\pi N$-amplitude, we discuss the low energy expansion of QCD amplitudes in the sector with baryon number one. We show that the chiral expansion of these amplitudes breaks down in certain regions of phase…

High Energy Physics - Phenomenology · Physics 2017-08-23 T. Becher

The two-body currents for s-wave pion photoproduction on the NN system are derived to O(Q^4) in chiral perturbation theory. For the interesting case of 3S1 <-> 1S0 transitions, we show that an axial isovector two-nucleon contact term…

Nuclear Theory · Physics 2008-11-26 A. Gardestig

We present a method to calculate pion electro-production amplitudes in a coupled-channel framework incorporating quasi-bound quark-model states. The method offers a clear prescription how to extract the resonant part of the amplitudes, even…

Nuclear Theory · Physics 2009-11-19 B. Golli , S. Sirca , M. Fiolhais

We show that diffractive production of a single neutral pion in photon-induced reactions at high energy is dynamically suppressed due to the approximate chiral symmetry of QCD. These reactions have been proposed as a test of the odderon…

High Energy Physics - Phenomenology · Physics 2011-09-13 Carlo Ewerz , Otto Nachtmann

We calculate the neutral pion photoproduction on the proton near threshold in covariant baryon chiral perturbation theory, including the $\Delta(1232)$ resonance as an explicit degree of freedom, up to chiral order $p^{7/2}$ in the $\delta$…

High Energy Physics - Phenomenology · Physics 2016-05-25 A. N. Hiller Blin , T. Ledwig , M. J. Vicente Vacas

Formalism for radiative correction (RC) calculation in exclusive pion electroproduction on the proton is presented. A FORTRAN code EXCLURAD is developed for the RC procedure. The numerical analysis is done in the kinematics of current…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Afanasev , I. Akushevich , V. Burkert , K. Joo