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Related papers: Pion light cone wave function in the non-local NJL…

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The NJL model is formulated on the light cone. Using the 1/N expansion to solve the fermionic constraint, an effective 4-fermi lagrangian is derived. Pionic properties are investigated using this lagrangian, and the formal equivalence to…

High Energy Physics - Phenomenology · Physics 2009-10-31 W. Bentz , T. Hama , T. Matsuki , K. Yazaki

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

We calculate the beam function for longitudinally-polarized quarks through next-to-next-to-leading order (NNLO) in QCD perturbation theory. This is the last missing ingredient needed to apply the factorization theorem for the $N$-jettiness…

High Energy Physics - Phenomenology · Physics 2017-08-09 Radja Boughezal , Frank Petriello , Ulrich Schubert , Hongxi Xing

We consider a nonlocal version of the NJL model, based on a separable quark-quark interaction. The interaction is extended to include terms that bind vector and axial-vector mesons. The nonlocality means that no further regulator is…

High Energy Physics - Phenomenology · Physics 2009-10-30 Robert S. Plant , Michael C. Birse

The Nambu--Jona-Lasinio (NJL) - Jet model provides a sound framework for calculating the fragmentation functions in an effective chiral quark theory, where the momentum and isospin sum rules are satisfied without the introduction of ad hoc…

High Energy Physics - Phenomenology · Physics 2011-04-06 Hrayr H. Matevosyan , Anthony W. Thomas , Wolfgang Bentz

We construct an evolution equation for the pion wave function in the $k_T$ factorization theorem, whose solution sums the mixed logarithm $\ln x\ln k_T$ to all orders, with $x$ ($k_T$) being a parton momentum fraction (transverse momentum).…

High Energy Physics - Phenomenology · Physics 2015-06-17 Hsiang-nan Li , Yue-Long Shen , Yu-Ming Wang

We discuss a few, apparently different (but actually, tightly related) problems: 1. The relation between QCD and valence quark model, 2. The asymptotic behavior of the nonperturbative pion wave function $\psi(\k, x)$ at $x\rightarrow 0,~1,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ariel Zhitnitsky

We calculate the light-cone wavefunctions of the pion by solving the meson boundstate problem in a coarse transverse lattice gauge theory using DLCQ. A large-N_c approximation is made and the light-cone Hamiltonian expanded in massive…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Dalley , B. van de Sande

We calculate next-to-leading-order (NLO) correction to the pion electromagnetic form factor at leading twist in the $k_T$ factorization theorem. Partons off-shell by $k_T^2$ are considered in both quark diagrams and effective diagrams for…

High Energy Physics - Phenomenology · Physics 2015-03-17 Hsiang-nan Li , Yue-Long Shen , Yu-Ming Wang , Hao Zou

The behavior of charged pion masses in the presence of a static uniform magnetic field is studied in the framework of the two-flavor NJL model, using a magnetic field-independent regularization scheme. Analytical calculations are carried…

High Energy Physics - Phenomenology · Physics 2019-08-29 M. Coppola , D. Gomez Dumm , N. N. Scoccola

The charge form factor of the pion is calculated for momentum transfer range of Jefferson Lab experiments. The approach is based on the instant form of the relativistic Hamiltonian dynamics. It is shown that the form-factor dependence on…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. F. Krutov , V. E. Troitsky

The structure of hadrons is described well by the Nambu--Jona-Lasinio (NJL) model, which is a chiral effective quark theory of QCD. In this work we explore the electromagnetic structure of the pion and kaon using the three-flavor NJL model,…

Nuclear Theory · Physics 2015-03-05 Y. Ninomiya , W. Bentz , I. C. Cloët

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 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

Based on the light-cone (LC) framework and the $k_T$ factorization formalism, the transverse momentum effects and the different helicity components' contributions to the pion form factor $F_{\pi}(Q^2)$ are recalculated. In particular, the…

High Energy Physics - Phenomenology · Physics 2009-08-25 T. Huang , X. G. Wu , X. H. Wu

We apply chiral quark model with momentum dependent quark mass to two kinds of non-perturbative objects. These are: photon Distribution Amplitudes which we calculate up to twist-4 in tensor, vector and axial channels and pion-photon…

High Energy Physics - Phenomenology · Physics 2010-02-19 Piotr Kotko

We investigate the behaviour of the nuclear forces as a function of the light quark masses (or, equivalently, pion mass) in the framework of chiral effective field theory at next-to-leading order. The nucleon-nucleon force is described in…

Nuclear Theory · Physics 2011-07-18 Evgeny Epelbaum , Ulf-G. Meißner , Walter Glöckle

Twisted kinks in the massless NJL$_2$ model interpolate between two distinct vacua on the chiral circle. If one approaches the chiral limit from finite bare fermion masses $m_0$, the vacuum is unique and twist cannot exist. This issue is…

High Energy Physics - Theory · Physics 2018-01-03 Michael Thies

We analyze the equal-time Bethe-Salpeter quark wave function of the pion obtained from a quenched lattice QCD calculation with delocalized quark interpolators. We find that the result agrees remarkably well with the predictions of the…

High Energy Physics - Phenomenology · Physics 2015-05-14 Wojciech Broniowski , Sasa Prelovsek , Luka Santelj , Enrique Ruiz Arriola

Pion dissociation by the Mott effect in quark plasma is described within the generalized Beth-Uhlenbeck approach on the basis of the PNJL model which allows for a unified description of bound, resonant and scattering states. As a first…

Nuclear Theory · Physics 2014-05-29 A. Wergieluk , D. Blaschke , Yu. L. Kalinovsky , A. Friesen