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The charged pion form factor, Fpi(Q^2), is an important quantity which can be used to advance our knowledge of hadronic structure. However, the extraction of Fpi from data requires a model of the 1H(e,e'pi+)n reaction, and thus is…

High-statistics data on the $e^+e^-\to \pi^+\pi^-$ cross section and the pion vector form factor have been obtained recently by several collaborations. Unfortunately, there are some tensions between different datasets, especially the most…

High Energy Physics - Phenomenology · Physics 2020-11-18 B. Ananthanarayan , Irinel Caprini , Diganta Das

We explore the BaBar puzzle within the Regge approach. After reviewing the chiral quark models in applications to PDF and PDA of the pion, we argue that variants of these models, fulfilling the chiral anomaly, may in fact violate the second…

High Energy Physics - Phenomenology · Physics 2011-03-10 Wojciech Broniowski , Enrique Ruiz Arriola

We present an improved analysis of the constraints on the first two Gegenbauer moments, $a^\pi_2$ and $a^\pi_4$, of the pion's leading-twist distribution amplitude from a QCD light-cone sum rule analysis of $B\to\pi$ weak transition form…

High Energy Physics - Phenomenology · Physics 2008-12-18 Xing-Gang Wu

Electroproduction of neutral pions in exclusive reaction $p(e,e'\pi^0)p$ is studied above the resonance region, $\sqrt{s}>2$ GeV. The reaction amplitude is described by exchanges of vector $\omega(782)$, $\rho(770)$ and axial-vector…

Nuclear Theory · Physics 2011-05-11 Murat M. Kaskulov

The recent measured \gamma*\gamma \rightarrow \pi^0 transition form factor in the space-like region by the Belle Collaboration together with the previous published results by CLEO, CELLO and BABAR collaborations are analyzed using the…

High Energy Physics - Phenomenology · Physics 2013-05-30 P. Masjuan

The electromagnetic form factor of the pion is obtained using a particular realization of QCD in the large $N_c$ limit, which sums up the infinite number of zero-width resonances to yield an Euler's Beta function of the Veneziano type. This…

High Energy Physics - Phenomenology · Physics 2009-11-07 C. A. Dominguez

Using the soft pion theorem, crossing, and the dispersion relations for the two pion distribution amplitude ($2\pi$DA) we argue that the second Gegenbauer moment the $\rho$-meson DA ($a_2^{(\rho)}$) most probably is negative. This result is…

High Energy Physics - Phenomenology · Physics 2020-12-30 Maxim V. Polyakov , Hyeon-Dong Son

The axial-vector Ward-Takahashi identity places constraints on particular properties of every pseudoscalar meson. For example, in the chiral limit all pseudoscalar mesons, except the Goldstone mode, decouple from the axial-vector current.…

Nuclear Theory · Physics 2010-03-04 A. Hoell , A. Krassnigg , P. Maris , C. D. Roberts , S. V. Wright

Pion electroproduction amplitudes predicted by three theoretical models in the $Q^2 \leq 0.5$ (GeV/c)$^2$ region are compared. The objective is to facilitate the analyses of the data from new experiments on investigating the pion cloud…

Nuclear Theory · Physics 2007-05-23 T. Sato , T. -S. H. Lee

We provide an in-depth analysis of the $\pi$ distribution amplitude in terms of two different Gegenbauer representations. Detailed predictions for the $\pi-\gamma$ transition form factor are presented, obtained with light-cone sum rules.…

High Energy Physics - Phenomenology · Physics 2014-12-01 N. G. Stefanis , S. V. Mikhailov , A. V. Pimikov

This is an English translation of my 1977 Russian preprint. It contains the first explicit definition of the pion distribution amplitude (DA), the expression for the pion form factor asymptotics in terms of the pion DA, and formulates the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Radyushkin

Previous lattice QCD calculations of axial vector and pseudoscalar form factors show significant deviation from the partially conserved axial current (PCAC) relation between them. Since the original correlation functions satisfy PCAC, the…

High Energy Physics - Lattice · Physics 2020-02-26 Yong-Chull Jang , Rajan Gupta , Boram Yoon , Tanmoy Bhattacharya

A simple model of a composite nucleon is developed in which a fermion and a boson, representing quark and diquark constituents of the nucleon, form a bound state owing to a contact interaction. Photon and pion couplings to the quark provide…

Nuclear Theory · Physics 2008-11-26 J. A. Tjon , S. J. Wallace

We extend our relativistic theory of gravitational structure of composite hadrons to obtain the pion gravitational form factors at large momentum transfers. The approach was used in the case of intermediate region of the variable in our…

High Energy Physics - Phenomenology · Physics 2023-12-05 A. F. Krutov , V. E. Troitsky

Based upon a combined formalism of Schwinger-Dyson and Bethe-Salpeter equations in quantum chromodynamics (QCD), we propose a QCD kindred algebraic model for the dressed quark propagator, for the Bethe-Salpeter amplitude of the pion and the…

High Energy Physics - Phenomenology · Physics 2024-09-17 M. Atif Sultan , Jiayin Kang , Adnan Bashir , Lei Chang

The electromagnetic form factor of the pion is calculated in the "point-form" of relativistic quantum mechanics using simple, phenomenological wave functions. It is found that the squared charge radius of the pion is predicted one order of…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Amghar , B. Desplanques , L. Theussl

An exploratory study of the time-like pion electromagnetic form factor in a Poincar\'e-covariant bound state formalism in the isospin symmetric limit is presented. Starting from a quark interaction kernel representing gluon-intermediated…

High Energy Physics - Phenomenology · Physics 2021-06-16 Ángel S. Miramontes López , Hèlios Sanchis-Alepuz , Reinhard Alkofer

We present predictions for the pion-photon transition form factor, derived with the help of light-cone sum rules and including the main part of the NNLO radiative corrections. We show that, when the Bakulev-Mikhailov-Stefanis (BMS) pion…

High Energy Physics - Phenomenology · Physics 2015-05-14 S. V. Mikhailov , N. G. Stefanis

We revisit light-cone sum rules with pion distribution amplitudes to determine the full set of local $B \to \pi$ form factors. To this end, we determine all duality threshold parameters from a Bayesian fit for the first time. Our results,…

High Energy Physics - Phenomenology · Physics 2021-07-21 Domagoj Leljak , Blaženka Melić , Danny van Dyk