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In this article we address the physical basis of the deviation of hadron shapes from spherical symmetry (non-spherical amplitudes) with focus on the nucleon and $\Delta$. An overview of both the experimental methods and results and the…

High Energy Physics - Phenomenology · Physics 2009-01-06 A. M. Bernstein , C. N. Papanicolas

We study the finite quark mass effects of the low-energy QCD using the improved ladder Schwinger-Dyson and Bethe-Salpeter equations which are derived in the manner consistent with the vector and axial-vector Ward-Takahashi identities. The…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. Naito , K. Yoshida , Y. Nemoto , M. Oka , M. Takizawa

We investigate the role of a dynamical gluon in the pion within the Basis Light-Front Quantization (BLFQ) framework and compare it with the solution of the Minkowski space Bethe-Salpeter equation (BSE), focusing on contributions beyond the…

High Energy Physics - Phenomenology · Physics 2025-05-20 Jiangshan Lan , Chandan Mondal , Xingbo Zhao , Tobias Frederico , James P. Vary

Chiral symmetry breaking in QCD leads to the emergence of pions as Goldstone bosons. Their existence in turn affects the Green functions of the theory. Here we study the effect of pion corrections on the light quark's Green function in…

High Energy Physics - Phenomenology · Physics 2009-11-10 Carlo Ewerz

We calculate the mass shift for the pion in a finite volume with renormalization group (RG) methods in the framework of the quark-mesons model. In particular, we investigate the importance of the quark effects on the pion mass. As in…

High Energy Physics - Phenomenology · Physics 2009-11-11 J. Braun , B. Klein , H. J. Pirner

A variety of strong and electroweak interaction properties of the pion and the light scalar sigma meson are computed in a relativistic quark model. Under the assumption that the resulting coupling of these mesons to the constituent quarks…

High Energy Physics - Phenomenology · Physics 2009-11-10 Amand Faessler , Th. Gutsche , M. A. Ivanov , V. E. Lyubovitskij , P. Wang

In this HADRON2001 contribution we summarize the status of our quark-model calculations of hadron-hadron scattering amplitudes in annihilation-free channels. The predictions are in reasonably good agreement with experimentally known S-wave…

High Energy Physics - Phenomenology · Physics 2009-11-07 T. Barnes

The implications of the pion (meson) degrees of freedom for baryon properties, taken at the constituent quark and baryon levels are compared. It is shown that there is a dramatic qualitative difference between two approaches.

Nuclear Theory · Physics 2011-02-01 L. Ya. Glozman , D. O. Riska

We present a unified picture of mesons and baryons in the Dyson-Schwinger/Bethe-Salpeter approach, wherein the quark-gluon and quark-(anti)quark interaction follow from a systematic truncation of the QCD effective action and includes all…

High Energy Physics - Phenomenology · Physics 2015-09-08 Helios Sanchis-Alepuz , Richard Williams

The elastic backward proton-deuteron scattering is analyzed within a covariant approach based on the Bethe-Salpeter equation with realistic meson-exchange interaction. Contributions of the one-nucleon and one-pion exchange mechanisms to the…

Nuclear Theory · Physics 2009-09-25 L. P. Kaptari , B. Kaempfer , S. M. Dorkin , S. S. Semikh

The influence of resonance decays on the elliptic flows of stable hadrons is studied in the quark coalescence model. Although difference between the elliptic flow of pions from resonance decays, except the rho meson, and that of directly…

Nuclear Theory · Physics 2009-11-10 V. Greco , C. M. Ko

Recent work in low energy pion physics is reviewed. One of the exciting new developments in this field is that simulations of QCD on a lattice now start providing information about the low energy structure of the continuum theory, for…

High Energy Physics - Phenomenology · Physics 2017-08-23 H. Leutwyler

We report on the calculation by the MILC Collaboration of the electromagnetic effects on kaon and pion masses. These masses are computed in QCD with dynamical (asqtad staggered) quarks plus quenched photons at three lattice spacings varying…

We determine the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon using the framework of Dyson-Schwinger and Bethe-Salpeter equations of QCD. Our result for the pseudoscalar ($\pi^0, \eta, \eta'$)…

High Energy Physics - Phenomenology · Physics 2015-03-17 Tobias Goecke , Christian S. Fischer , Richard Williams

We compute the distribution amplitudes of the pion and kaon in the light-front constituent quark model with the symmetric quark-bound state vertex function. In the calculation we explicitly include the flavor-SU(3) symmetry breaking effect…

High Energy Physics - Phenomenology · Physics 2016-06-22 J. P. B. C. de Melo , Isthiaq Ahmed , Kazuo Tsushima

The quark Dyson-Schwinger equation and meson Bethe-Salpeter equation are studied in a truncation scheme that extends the rainbow-ladder approximation such that, in the chiral limit, the isovector, pseudoscalar meson remains massless.…

Nuclear Theory · Physics 2010-03-04 A. Bender , C. D. Roberts , L. v. Smekal

We discuss the impact of chiral symmetry constraints on the quark-mass dependence of meson resonance pole positions, which are encoded in non-perturbative parametrizations of meson scattering amplitudes. Model-independent conditions on such…

High Energy Physics - Lattice · Physics 2018-01-30 Peter C. Bruns , Maxim Mai

The study of the $\gamma^* N\rightarrow \Delta$ reaction presents the best quantitative method to explore the deviation of hadron shapes from spherical symmetry (nonspherical amplitudes). Significant non-spherical electric (E2) and Coulomb…

Nuclear Experiment · Physics 2015-06-16 N. Sparveris

We present results for single pseudoscalar meson pole contributions and pion box contributions to the hadronic light-by-light (LBL) correction of the muon's anomalous magnetic moment. We follow the recently developed dispersive approach to…

High Energy Physics - Phenomenology · Physics 2019-10-14 Gernot Eichmann , Christian S. Fischer , Esther Weil , Richard Williams

We present a systematic study of the hadronic contributions to the muon anomalous magnetic moment within several infrared-improved AdS/QCD models. The models are constrained by the pion decay constant and the $\rho$-meson mass and are shown…

High Energy Physics - Phenomenology · Physics 2026-03-24 Jin-Yang Shen , Wen-Yuan Peng , Ling-Yun Dai , Zhen Fang