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Related papers: Twist-2 Light-Cone Pion Wave Function

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These lecture notes review the foundations and some applications of light-cone quantization. First I explain how to choose a time in special relativity. Inclusion of Poincare invariance naturally leads to Dirac's forms of relativistic…

High Energy Physics - Theory · Physics 2007-05-23 T. Heinzl

The experimental situation with regard to measurements of the pion charge form factor is reviewed. Both existing data and planned experiments are discussed.

Nuclear Experiment · Physics 2007-05-23 H. P. Blok , G. M. Huber , D. J. Mack

In a recent paper [1] we have proposed a new approach for extracting the wave function of the $\pi$-meson $\varphi_{\pi}(x)$ and the masses and wave functions of its first resonances from the new QCD sum rules for non-diagonal correlators…

High Energy Physics - Phenomenology · Physics 2016-09-01 A. P. Bakulev , S. V. Mikhailov

We present a quantitative analysis of the electromagnetic pion form factor in the light-cone sum rule approach, including radiative corrections and higher-twist effects. The comparison to the existing data favors the asymptotic profile of…

High Energy Physics - Phenomenology · Physics 2011-05-05 V. M. Braun , A. Khodjamirian , M. Maul

A general derivation of the multi-pion correlation function for completely chaotic source is given. Its effects on the pion multiplicity distribution, two-pion interferometry are studied. A generalized multi-pion correlation function for a…

High Energy Physics - Phenomenology · Physics 2015-06-25 Chao wei-qin , Gao chong-shou , Zhang qing-hui

In this work n-armed Archimedian spiral wave solutions of the complex Ginzburg-Landau equation are considered. These solutions are showed to depend on two characteristic parameters, the so called twist parameter and the asymptotic…

Analysis of PDEs · Mathematics 2023-06-06 Maria Aguareles , Inmaculada Baldomá , Tere M. -Seara

We construct a special asymptotic solution for the forced Boussinesq equation. The perturbation is small and oscillates with a slowly varied frequency. The slow passage through the resonance generates waves with the finite amplitude. This…

Pattern Formation and Solitons · Physics 2007-05-23 Nataliya Gorbatova , Oleg Kiselev , Sergei Glebov

We discuss the pion and kaon distribution amplitudes up to twist-3 in the context of the random instanton vacuum (RIV). We construct explicitly the pertinent quasi-pion and quasi-kaon distributions in the RIV, and analyze them in leading…

High Energy Physics - Phenomenology · Physics 2022-01-12 Arthur Kock , Ismail Zahed

A systematic analysis shows that the main uncertainties in the form factors are due to the twist-3 wave functions of the light mesons in the light-cone QCD sum rules. We propose an improved approach, in which the twist-3 wave functions…

High Energy Physics - Phenomenology · Physics 2009-10-31 Tao Huang , Zuo-Hong Li , Xiang-Yao Wu

By reanalysing transverse momentum dependence in the perturbative calculation of pion form factor an improved expression of pion form factor which takes into account the transverse momentum dependenc in hard scattering amplitude and…

High Energy Physics - Phenomenology · Physics 2009-10-30 Fu-Guang Cao , Tao Huang

When traditional linearised theory is used to study gravity-capillary waves produced by flow past an obstruction, the geometry of the object is assumed to be small in one or several of its dimensions. In order to preserve the nonlinear…

Mathematical Physics · Physics 2015-10-16 Philippe H. Trinh , S. Jonathan Chapman

We derive a set of sum rules for threshold parameters of pion-pion scattering whose dispersion integrals are rapidly convergent and are dominated by S- and P-waves absorptive parts. Stringent constraints on some threshold parameters are…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Ananthanarayan , D. Toublan , G. Wanders

A direct generalization of the transverse momentum integrated(TMI) light-cone wave function to define a transverse momentum dependent(TMD) light-cone wave function will cause light-cone singularities and they spoil TMD factorization. We…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. P. Ma , Q. Wang

In a Poincare'-covariant vector-boson-exchange theory, the pion possesses components of pseudovector origin, which materially influence its observable properties. For a range of such quantities, we explore the consequences of a…

Nuclear Theory · Physics 2010-11-11 L. X. Gutierrez-Guerrero , A. Bashir , I. C. Cloet , C. D. Roberts

Pion transition form factor for the process $\gamma*\gamma*\to \pi^0$ at space-like values of photon momenta is calculated within the effective quark-meson model with the interaction induced by instanton exchange. The leading and…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. E. Dorokhov

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

The electromagnetic corrections to the low energy scattering amplitude involving charged pions only are investigated at leading and next-to-leading orders in the two-flavour chiral expansion. As an application, the corresponding variation…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Knecht , A. Nehme

We examined the symmetry aspect of the semi-inclusive one-pion production in the deep inelastic scattering of a lepton beam off an unpolarized nucleon target, with an emphasis on the positivity restrictions on the corresponding structure…

High Energy Physics - Phenomenology · Physics 2008-02-03 Wei Lu , Jian-Jun Yang

The purpose of this note is to share some observations and speculations concerning the asymptotic behavior of Gromov-Witten invariants. They may be indicative of some deep phenomena in symplectic topology that in full generality are outside…

Algebraic Geometry · Mathematics 2017-08-17 Aleksey Zinger

We show that energetically favored meson-baryon fluctuations present in the light-cone wave function of a transversely polarized proton can account for the left-right asymmetries measured in inclusive meson production processes.

High Energy Physics - Phenomenology · Physics 2010-01-06 C. Boros