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Related papers: Confinement and cut-off: a model for the pion quar…

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The partonic structure of hadrons plays an important role in a vast array of high-energy and nuclear physics experiments. It also underpins the theoretical understanding of hadron structure. Recent developments in lattice QCD offer new…

High Energy Physics - Lattice · Physics 2020-01-16 A. Hannaford-Gunn , R. Horsley , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , K. Somfleth , H. Stüben , R. D. Young , J. M. Zanotti

In this contribution, an approach for a unified description of the pion electromagnetic form factor, in the space- and time-like regions, within a constituent quark model on the light front, will be reviewed. Our approach is based on i) the…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. P. B. C. de Melo , T. Frederico , E. Pace , G. Salme`

We investigate the parton distribution functions (PDFs) of the pion and the kaon by combining quantum chromodynamics (QCD) evolution with the basis light front quantization. The initial PDFs result from the light front wave functions…

Nuclear Theory · Physics 2020-07-23 Jiangshan Lan , Chandan Mondal , Shaoyang Jia , Xingbo Zhao , James P. Vary

We analyze the nucleon's Compton scattering amplitude in the Dyson-Schwinger/Faddeev approach. We calculate a subset of diagrams that implements the nonperturbative handbag contribution as well as all t-channel resonances. At the quark…

High Energy Physics - Phenomenology · Physics 2013-03-14 Gernot Eichmann , Christian S. Fischer

We present the first rainbow-ladder Dyson-Schwinger equations study of the pion's chiral-odd, twist-3 parton distribution $e_{\rm q}(x)$. By deriving a novel Dyson-Schwinger equation for the pion's quark-quark correlation matrix, we…

High Energy Physics - Phenomenology · Physics 2026-02-17 Chao Shi , Liming Lu , Ian Cloët , Wenbao Jia , Peter Tandy

We analyze polarized Compton scattering which provides information on the spin-structure of the nucleon. For scattering processes with photon energies up to 100 MeV the spin-structure dependence can be encoded into four independent…

Nuclear Theory · Physics 2009-10-30 Thomas R. Hemmert , Barry R. Holstein , Joachim Kambor , Germar Knoechlein

Several aspects of the internal structure of pseudoscalar mesons, accessible through generalized parton distributions in their zero-skewness limit, are examined. These include electromagnetic and gravitational form factors related to charge…

High Energy Physics - Phenomenology · Physics 2024-12-10 K. Raya , A. Bashir , J. Rodríguez-Quintero

We present a lattice-QCD calculation of the pion distribution amplitudes using large-momentum effective theory (LaMET). Our calculation is carried out using five ensembles with 2+1+1 flavors of highly improved staggered quarks (HISQ),…

High Energy Physics - Lattice · Physics 2021-08-11 Nicholas Juliano , Rui Zhang , Carson Honkala , Huey-Wen Lin

The soft-pion theorem for pion production in deeply virtual Compton scattering, derived by Guichon, Mosse and Vanderhaegen, is shown to be consistent with chiral perturbation theory. Chiral symmetry requires that the nonsinglet operators…

High Energy Physics - Phenomenology · Physics 2009-11-11 Michael C. Birse

We present technical details of the evaluation of the elastic pi-pi scattering amplitude to two loops in chiral perturbation theory. In particular, we elaborate on the renormalization procedure at the two-loop order and on the evaluation of…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. Bijnens , G. Colangelo , G. Ecker , J. Gasser , M. E. Sainio

The pion structure in Minkowski space is explored using the Nakanishi integral representation. A general framework is developed for the pion Bethe-Salpeter amplitude based on the Kallen-Lehmann representation of the dressed quarks with an…

High Energy Physics - Phenomenology · Physics 2022-08-09 R. M. Moita , J. P. B. C. de Melo , T. Frederico , W. de Paula

We explore further applications of the twist-two quark interference fragmentation functions introduced earlier. We show that semi-inclusive production of two pions in the current fragmentation region in deep inelastic scattering of a…

High Energy Physics - Phenomenology · Physics 2009-10-30 R. L. Jaffe , Xuemin Jin , Jian Tang

The isoscalar twist-two generalized parton distributions (GPDs) of the pion and the kaon are calculated in a Poincare covariant Bethe-Salpeter constituent quark model. Results are presented for several values of the parameters xi and t. The…

High Energy Physics - Phenomenology · Physics 2008-11-19 A. Van Dyck , T. Van Cauteren , J. Ryckebusch , B. C. Metsch

We discuss the nonleading, ``soft" contribution to the pion form factor at intermediate momentum transfer within operator product expansion approach. We argue, that the corresponding contribution can temporarily {\bf simulate} the leading…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. Zhitnitsky

We obtain the pion and the kaon parton distribution functions from the eigenstates of a light front effective Hamiltonian in the constituent quark-antiquark representation suitable for low-momentum scale applications. By taking these scales…

Nuclear Theory · Physics 2019-05-07 Jiangshan Lan , Chandan Mondal , Shaoyang Jia , Xingbo Zhao , James P. Vary

Experimental data of the pion charge form factor are well represented by Poincar\'e invariant constituent-quark phenomenology depending on two parameters, a confinement scale and an effective constituent--quark mass. Pion states are…

Nuclear Theory · Physics 2009-11-10 F. Coester , W. N. Polyzou

We compare the dependences on the number of colors of the leading pion pion scattering amplitudes using the single index quark field and two index quark fields. These are seen to have different relationships to the scattering amplitudes…

High Energy Physics - Phenomenology · Physics 2009-09-29 Francesco Sannino , Joseph Schechter

We compute pion-nucleon scattering at tree-level within a gauged linear sigma model which contains the nucleon and its chiral partner. Such an investigation in principle allows to make definite predictions as to whether the main…

Nuclear Theory · Physics 2010-11-26 Susanna Wilms , Francesco Giacosa , Dirk H. Rischke

The interaction mediated by irreducible pion and gluon exchange between constituent quarks is calculated and shown to have a strong tensor component, which tends to cancel the pion exchange tensor interaction between quarks. Its spin-spin…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. Helminen , D. O. Riska

Quark confinement and the genesis of the constituent quark model are examined in nonperturbative QCD in Coulomb gauge. We employ a self-consistent method to construct a quasiparticle basis and to determine the quasiparticle interaction. The…

High Energy Physics - Phenomenology · Physics 2014-11-17 Adam P. Szczepaniak , Eric S. Swanson
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