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Related papers: Pion light-cone wave function and pion distributio…

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The light-cone wave function of the pion is calculated within the Nambu-Jona-Lasinio model. The result is used to derive the pion electromagnetic form factor, charge radius, structure function, pi-gamma transition form factor and…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Heinzl

We evaluate Generalized Parton Distributions of the pion in two chiral quark models: the Spectral Quark Model and the Nambu-Jona-Lasinio model with a Pauli-Villars regularization. We proceed by the evaluation of double distributions through…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wojciech Broniowski , Enrique Ruiz Arriola , Krzysztof Golec-Biernat

We evaluate nonperturbatively the quark quasidistribution amplitude and the valence quark quasidistribution function of the pion in the framework of chiral quark models, namely the Nambu--Jona-Lasinio model and the Spectral Quark Model. We…

High Energy Physics - Phenomenology · Physics 2017-10-11 Wojciech Broniowski , Enrique Ruiz Arriola

We calculate the in-medium valence quark distribution of the pion immersed in a finite baryon density using the light-cone quark model. The medium-modified pion properties are obtained by using the constituent quark mass-dependent light…

High Energy Physics - Phenomenology · Physics 2026-05-25 Ashutosh Dwibedi , Satyajit Puhan , Sabyasachi Ghosh , Harleen Dahiya

A scenario is investigated in which the leading-twist pion distribution amplitude phi_pi (x) is approximated by the pion decay constant f_pi for all essential values of the light-cone fraction x. A model for the light-front wave function…

High Energy Physics - Phenomenology · Physics 2014-11-20 A. V. Radyushkin

The pion structure function is studied in the Nambu and Jona-Lasinio (NJL) model. We calculate the forward scattering amplitude of a virtual photon from a pion target in the Bjorken limit, and obtain valence quark distributions of the pion…

High Energy Physics - Phenomenology · Physics 2014-11-17 T. Shigetani , K. Suzuki , H. Toki

Pion generalised parton distributions are calculated within the framework of the Nambu--Jona-Lasinio model using different regularization schemes, including the proper time regularization scheme, the three dimensional momentum cutoff…

High Energy Physics - Phenomenology · Physics 2022-06-08 Jin-Li Zhang , Guang-Zhen Kang , Jia-Lun Ping

The leading- and higher-twist distribution amplitudes and light-cone wave functions of real and virtual photons are analyzed in chiral quark models. The calculations are performed in the nonlocal quark model based on the instanton picture…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. E. Dorokhov , W. Broniowski , E. Ruiz Arriola

In this paper, we study the pion leading-twist distribution amplitude $\phi_{2;\pi}(x,\mu)$ by improving the traditional light-cone harmonic oscillator model within the reconstruction of the function $\varphi_{2;\pi}(x)$. In order to…

High Energy Physics - Phenomenology · Physics 2021-07-28 Tao Zhong , Zhi-Hao Zhu , Hai-Bing Fu , Xing-Gang Wu , Tao Huang

The gauge-invariant, nonlocal, dynamical quark model is proved to generate the minimal vertices which satisfy the Ward-Takahashi identities. In the chiral limit, the momentum-dependent quark self-energy results in a flat-like form with some…

High Energy Physics - Phenomenology · Physics 2014-04-24 Chuan Li , Shao-Zhou Jiang , Qing Wang

We have calculated the second moment of the pion light-cone distribution amplitude using two flavors of dynamical (clover) fermions on lattices of different volumes, lattice spacings between $0.06 \, \mathrm {fm}$ and $0.08 \, \mathrm {fm}$…

High Energy Physics - Lattice · Physics 2015-10-27 V. M. Braun , S. Collins , M. Göckeler , P. Pérez-Rubio , A. Schäfer , R. W. Schiel , A. Sternbeck

The Nambu--Jona-Lasinio model is utilized to investigate the pion and kaon photon leading-twist transition distribution amplitudes using proper time regularization. Separately, the properties of the vector and axial vector pion photon…

High Energy Physics - Phenomenology · Physics 2024-02-27 Jin-Li Zhang , Jun Wu

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

We calculate the valence quark distribution functions of the $\pi$ meson using the non-relativistic chiral constituent quark model. The $\pi$ wave function is obtained by solving the two-body Schr\"odinger equation within the framework of…

High Energy Physics - Phenomenology · Physics 2023-08-21 Qian Wu , Chengdong Han , Di Qing , Wei Kou , JuJun Xie , Fan Wang , Xurong Chen

We suggest to probe the pion light-cone distribution amplitude, applying a dispersion relation for the pion electromagnetic form factor. Instead of the standard dispersion relation, we use the equation between the spacelike form factor…

High Energy Physics - Phenomenology · Physics 2020-11-04 Shan Cheng , Alexander Khodjamirian , Aleksey V. Rusov

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

We present results for the first two moments of the light-cone distribution amplitudes of the pion and kaon pseudo-scalar mesons and of the rho, K* and phi vector mesons. The calculations are performed on the RBC/UKQCD collaborations'…

High Energy Physics - Lattice · Physics 2019-08-14 P. A. Boyle , D. Brömmel , M. A. Donnellan , J. M. Flynn , A. Jüttner , C. T. Sachrajda

A method is explained through which a pointwise accurate approximation to the pion's valence-quark distribution amplitude (PDA) may be obtained from a limited number of moments. In connection with the single nontrivial moment accessible in…

Nuclear Theory · Physics 2015-06-16 I. C. Cloët , L. Chang , C. D. Roberts , S. M. Schmidt , P. C. Tandy

We present preliminary results from the QCDSF/UKQCD collaborations for the second moment of the pion's distribution amplitude with two flavours of dynamical fermions. We use nonperturbatively determined renormalisation coefficients to…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , D. Pleiter , P. E. L. Rakow , A. Schäfer , G. Schierholz , W. Schroers , J. M. Zanotti

We present the results of a lattice study of the second moment of the light-cone pion distribution amplitude using two flavors of dynamical (clover) fermions on lattices of different volumes and pion masses down to $m_\pi\sim 150 \, \mathrm…

High Energy Physics - Lattice · Physics 2015-07-29 V. M. Braun , S. Collins , M. Göckeler , P. Pérez-Rubio , A. Schäfer , R. W. Schiel , A. Sternbeck
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