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We comment on the results of a complete leading-twist next-to-leading order QCD analysis of the spacelike pion electromagnetic form factor at large-momentum transfer Q. For the asymptotic distribution amplitude, we have examined the…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Melic , B. Nizic , K. Passek

We study the pion Distribution Amplitude (\pi DA) in the context of a nonlocal chiral quark model. The corresponding Lagrangian reproduces the phenomenological values of the pion mass and decay constant, as well as the momentum dependence…

High Energy Physics - Phenomenology · Physics 2014-04-02 D. Gomez Dumm , S. Noguera , N. N. Scoccola , S. Scopetta

We derive the dependence of the leading-twist pion light-cone distribution amplitude (LCDA) on a parton momentum fraction $x$ by directly solving the dispersion relations for the moments with inputs from the operator product expansion (OPE)…

High Energy Physics - Phenomenology · Physics 2022-08-31 Hsiang-nan Li

We propose a new class of universal amplitude ratios which involve the first terms of the short distance expansion of the correlators of a statistical model in the vicinity of a critical point. We will describe the critical system with a…

High Energy Physics - Theory · Physics 2009-12-10 M. Caselle , P. Grinza , R. Guida , N. Magnoli

We extend the investigation of the Generalized Parton Distribution for a charged pion within a fully covariant constituent quark model, in two respects: (i) calculating the tensor distribution and (ii) adding the treatment of the evolution,…

High Energy Physics - Phenomenology · Physics 2016-05-25 C. Fanelli , E. Pace , G. Romanelli , G. Salme' , M. Salmistraro

At the energies of present and future electron accelerators designed to study the structure of hadrons, there is a regime where hard pion electroproduction proceeds by a perturbatively calculable process in QCD. The process is not the…

High Energy Physics - Phenomenology · Physics 2025-08-29 Andrei Afanasev , Carl E. Carlson

We consider pion pair production in two-photon collisions, gamma* gamma -> pi+ pi-, at large photon virtuality Q^2 and center-of-mass energy \sqrt{s} in the hard-scattering picture. In the limit where s is large but s << Q^2 we derive an…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Diehl , Th. Feldmann , P. Kroll , C. Vogt

Motivated by the application of L\"uscher's finite volume method to the study of the lightest scalar resonance in the $\pi\pi \to \pi\pi$ isoscalar channel, in this article we describe our studies of multi-pion correlation functions…

High Energy Physics - Lattice · Physics 2014-08-12 Joel Giedt , Dean Howarth

We propose a new approach to construct QCD sum rules for the pi NN coupling constant, g, starting from the vacuum-to-pion correlation function of the interpolating fields of two nucleons and taking its matrix element with respect to nucleon…

Nuclear Theory · Physics 2009-11-07 Yoshihiko Kondo , Osamu Morimatsu

Probabilistic regression models the entire predictive distribution of a response variable, offering richer insights than classical point estimates and directly allowing for uncertainty quantification. While diffusion-based generative models…

Machine Learning · Computer Science 2025-10-07 Carlo Kneissl , Christopher Bülte , Philipp Scholl , Gitta Kutyniok

We present a general representation for the nucleon distribution amplitudes and for the nucleon to pion transition distribution amplitudes in terms of light-cone wave functions. We apply our formalism to a light-cone constituent quark model…

High Energy Physics - Phenomenology · Physics 2017-08-23 M. Pincetti , B. Pasquini , S. Boffi

Baryon to meson transition distribution amplitudes (TDAs) extend the concept of generalized parton distributions. Baryon to meson TDAs appear as building blocks in the collinear factorized description of amplitudes for a class of hard…

High Energy Physics - Phenomenology · Physics 2011-10-12 Bernard Pire , Kirill Semenov-Tian-Shansky , Lech Szymanowski

Twist-3 distribution amplitudes of the pion and kaon are studied in this paper. We calculate the fist several moments for the twist-3 distribution amplitudes (\phi_{p,\sigma}^\pi and \phi_{p,\sigma}^K) of the pion and kaon by applying the…

High Energy Physics - Phenomenology · Physics 2009-01-07 Tao Huang , Ming-Zhen Zhou , Xing-Hua Wu

A re-analysis of the NMC and SLAC data leads to a great improvement in our knowledge of the valence d and u parton distribution functions at high x. Standard parton distributions with our modifications are in good agreement with QCD…

High Energy Physics - Phenomenology · Physics 2011-02-01 U. K. Yang , A. Bodek

The parton momentum density distributions of the proton were obtained from a NLO QCD analysis of HERA and fixed target structure function data. The resulting parton distribution set includes the full information on errors and correlations.

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Botje

In this letter we report the first multi-differential measurement of correlated pion-proton pairs from 2 billion Au+Au collisions at \sqrt{s_{NN}} = 2.42 GeV collected with HADES. In this energy regime the population of \Delta(1232)…

Nuclear Experiment · Physics 2021-06-09 J. Adamczewski-Musch , O. Arnold , C. Behnke , A. Belounnas , A. Belyaev , J. C. Berger-Chen , A. Blanco , C. Blume , M. B"ohmer , P. Bordalo , S. Chernenko , L. Chlad , I. Ciepal , C. Deveaux , J. Dreyer , E. Epple , L. Fabbietti , O. Fateev , P. Filip , P. Fonte , C. Franco , J. Friese , I. Fr"ohlich , T. Galatyuk , J. A. Garzon , R. Gernh"auser , M. Golubeva , R. Greifenhagen , F. Guber , M. Gumberidze , S. Harabasz , T. Heinz , T. Hennino , S. Hlavac , C. H"ohne , R. Holzmann , A. Ierusalimov , A. Ivashkin , B. K"ampfer , T. Karavicheva , B. Kardan , I. Koenig , W. Koenig , M. Kohls , B. W. Kolb , G. Korcyl , G. Kornakov , F. Kornas , R. Kotte , A. Kugler , T. Kunz , A. Kurepin , A. Kurilkin , P. Kurilkin , V. Ladygin , R. Lalik , K. Lapidus , A. Lebedev , L. Lopes , M. Lorenz , T. Mahmoud , L. Maier , A. Malige , A. Mangiarotti , J. Markert , T. Matulewicz , S. Maurus , V. Metag , J. Michel , D. M. Mihaylov , S. Morozov , C. M"untz , R. M"unzer , L. Naumann , K. Nowakowski , Y. Parpottas , V. Pechenov , O. Pechenova , O. Petukhov , K. Piasecki , J. Pietraszko , W. Przygoda , K. Pysz , S. Ramos , B. Ramstein , N. Rathod , A. Reshetin , P. Rodriguez-Ramos , P. Rosier , A. Rost , A. Sadovsky , P. Salabura , T. Scheib , H. Schuldes , E. Schwab , F. Scozzi , F. Seck , P. Sellheim , I. Selyuzhenkov , J. Siebenson , L. Silva , U. Singh , J. Smyrski , Yu. G. Sobolev , S. Spataro , S. Spies , H. Str"obele , J. Stroth , C. Sturm , O. Svoboda , M. Szala , P. Tlusty , M. Traxler , H. Tsertos , E. Usenko , V. Wagner , C. Wendisch , M. G. Wiebusch , J. Wirth , D. Wojcik , Y. Zanevsky , P. Zumbruch

We develop a consistent technique for the calculation of real photon emission in hard exclusive processes, which is based on the background field formalism and allows a convenient separation of hard electromagnetic and soft hadronic…

High Energy Physics - Phenomenology · Physics 2010-04-05 P. Ball , V. M. Braun , N. Kivel

We discuss techniques and results for the extraction of the nucleon's spin-dependent parton distributions and their uncertainties from data for polarized deep-inelastic lepton-nucleon and proton-proton scattering by means of a global QCD…

High Energy Physics - Phenomenology · Physics 2009-09-01 Daniel de Florian , Rodolfo Sassot , Marco Stratmann , Werner Vogelsang

We compute all kaon and pion parton distribution amplitudes (PDAs) to twist-three and find that only the pseudotensor PDA can reasonably be approximated by its conformal limit expression. At terrestrially accessible energy scales, the…

Nuclear Theory · Physics 2015-04-06 Chao Shi , Chen Chen , Lei Chang , Craig D. Roberts , Sebastian M. Schmidt , Hong-Shi Zong

We present an exploratory calculation of the $I=2$ $\pi-\pi$ scattering amplitude at threshold using Wilson fermions in the quenched approximation, including all the required contractions. We find good agreement with the predictions of…

High Energy Physics - Lattice · Physics 2009-10-22 Rajan Gupta , Apoorva Patel , Stephen Sharpe