Off-shell photon light-cone wave functions of odd chirality in the effective low-energy theory

doi:10.1103/PhysRevD.73.045002

Title: Off-shell photon light-cone wave functions of odd chirality in the effective low-energy theory

Full Record
Other Related Research

Abstract

The Lorentz decomposition of the light-cone distribution amplitudes is carried out up to twist four. The Wandzura-Wilczek-like relations associated with the transverse photon wave function are derived in the same way as for the rho meson. The on-shell and off-shell photon wave functions with odd chirality at the leading twist in the effective low-energy theory derived from the instanton vacuum of QCD are calculated. The explicit expression of the transverse photon wave function, {phi}{sub {gamma}}{sub perpendicular}(u,P{sup 2}), is worked out, and the twist-two parts of the other two photon wave functions, h{sub {gamma}}{sub parallel}{sup (s),twisttwo}(u,P{sup 2}) and h{sub {gamma}}{sub parallel}{sup (t),twisttwo}(u,P{sup 2}), are calculated based on the Wandzura-Wilczek-like relations. The dependence of the coupling f{sub {gamma}}{sup perpendicular}(P{sup 2}) and the light-cone photon wave functions with respect to the virtuality, P{sup 2}, are analyzed, and the end-point behavior as well as the middle-point behavior of the photon wave functions is discussed.

Authors:

Yu Ran; Liu Jueping; Zhu Kai ^[1]

Department of Physics, School of Physical Science and Technology, Wuhan University, 430072 Wuhan (China)

Publication Date:: Wed Feb 15 00:00:00 EST 2006

OSTI Identifier:: 20776774

Resource Type:: Journal Article

Resource Relation:: Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.73.045002; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; CHIRALITY; COUPLING; DISTRIBUTION; LIGHT CONE; PHOTONS; QUANTUM CHROMODYNAMICS; RHO-770 MESONS; SUM RULES; WAVE FUNCTIONS

Citation Formats


                    Yu Ran, Liu Jueping, and Zhu Kai. Off-shell photon light-cone wave functions of odd chirality in the effective low-energy theory.  United States: N. p., 2006. 
        Web.  doi:10.1103/PhysRevD.73.045002.

Copy to clipboard


                    Yu Ran, Liu Jueping, & Zhu Kai. Off-shell photon light-cone wave functions of odd chirality in the effective low-energy theory.  United States.  doi:10.1103/PhysRevD.73.045002.

Copy to clipboard


                    Yu Ran, Liu Jueping, and Zhu Kai. Wed .  
        "Off-shell photon light-cone wave functions of odd chirality in the effective low-energy theory".  United States.  
        doi:10.1103/PhysRevD.73.045002.

Copy to clipboard


                    
@article{osti_20776774,

  title        = {Off-shell photon light-cone wave functions of odd chirality in the effective low-energy theory},

  author       = {Yu Ran and Liu Jueping and Zhu Kai},

  abstractNote = {The Lorentz decomposition of the light-cone distribution amplitudes is carried out up to twist four. The Wandzura-Wilczek-like relations associated with the transverse photon wave function are derived in the same way as for the rho meson. The on-shell and off-shell photon wave functions with odd chirality at the leading twist in the effective low-energy theory derived from the instanton vacuum of QCD are calculated. The explicit expression of the transverse photon wave function, {phi}{sub {gamma}}{sub perpendicular}(u,P{sup 2}), is worked out, and the twist-two parts of the other two photon wave functions, h{sub {gamma}}{sub parallel}{sup (s),twisttwo}(u,P{sup 2}) and h{sub {gamma}}{sub parallel}{sup (t),twisttwo}(u,P{sup 2}), are calculated based on the Wandzura-Wilczek-like relations. The dependence of the coupling f{sub {gamma}}{sup perpendicular}(P{sup 2}) and the light-cone photon wave functions with respect to the virtuality, P{sup 2}, are analyzed, and the end-point behavior as well as the middle-point behavior of the photon wave functions is discussed.},

  doi          = {10.1103/PhysRevD.73.045002},

  journal      = {Physical Review. D, Particles Fields},

  number       = 4,

  volume       = 73,

  place        = {United States},

  year         = {Wed Feb 15 00:00:00 EST 2006},

  month        = {Wed Feb 15 00:00:00 EST 2006}

}

Copy to clipboard

Journal Article:

DOI: 10.1103/PhysRevD.73.045002

Other availability

Find in Google Scholar

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Similar records in OSTI.GOV collections:

Photon distribution amplitudes and light-cone wave functions in chiral quark models

Journal Article Dorokhov, Alexander E. ; Broniowski, Wojciech ; Ruiz Arriola, Enrique ; ... - Physical Review. D, Particles Fields

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 of the QCD vacuum, as well as in the spectral quark model and the Nambu-Jona-Lasinio model with the Pauli-Villars regulator, which both treat interaction of quarks with external fields locally. We find that in all considered models the leading-twist distribution amplitudes of the real photon defined at the quark-model momentum scale are constant or remarkably close to the constant in the x variable, thus aremore »« less
DOI: 10.1103/PHYSREVD.74.054023
Small-x behavior of light-cone wave functions in transverse lattice gauge theory

Journal Article Bratt, J. ; Sande, B. van de ; Watson, E.M. ; ... - Physical Review. D, Particles Fields

We study the behavior of light-cone wave functions, in coarse transverse lattice gauge theory, when one or more parton light-cone momenta are small. This probes the limit of hadron structure at large and small Bjorken x. Finite-energy boundary conditions on boundstates allow one to derive the analytic form of wave functions in this region. This leads to simple, universal predictions for the behavior of quark generalized parton distributions near their endpoints. For the first few meson wave functions at large N{sub c}, we give the simplest ansatz that incorporates all the boundary conditions.
DOI: 10.1103/PhysRevD.70.114502
Predictions for e{sup +}e{sup -}{yields}J/{psi}{eta}{sub c} with light-cone wave functions

Journal Article Ma, J.P. ; Si, Z.G. ; Department of Physics, Shandong University, Jinan Shandong 250100 ; ... - Physical Review. D, Particles Fields

Predictions for e{sup +}e{sup -}{yields}J/{psi}{eta}{sub c} from previous studies are made by taking charmonia as a nonrelativistic bound state and by using nonrelativistic QCD (NRQCD) approach. The predicted cross section is smaller by an order of magnitude than the experimentally observed cross section. We study the process by taking charm quark as a light quark and use light-cone wave functions to parameterize nonperturbative effects related to charmonia. The total cross section of e{sup +}e{sup -}{yields}J/{psi}{eta}{sub c} can be predicted, if these wave functions are known. Motivated by studies of light-cone wave functions of light hadrons, we make a reasonable assumptionmore »« less
DOI: 10.1103/PhysRevD.70.074007
Study of leading twist light cone wave functions of the J/{psi} meson

Journal Article Braguta, V. V. - Physical Review. D, Particles Fields

This paper is devoted to the study of leading twist light cone wave functions of the J/{psi} meson. The moments of these wave functions have been calculated within three approaches: potential models, nonrelativistic QCD, and QCD sum rules. Using the results obtained within these approaches the models for the light cone wave functions of leading twist have been proposed. Similarly to the wave function of the {eta}{sub c} meson, the leading twist light cone wave functions of the J/{psi} meson have very interesting properties at scales {mu}>m{sub c}: improvement of the accuracy of the model, appearance of a relativistic tail,more »« less
DOI: 10.1103/PHYSREVD.75.094016
Drell-Yan processes, transversity, and light-cone wave functions

Journal Article Pasquini, B. ; Pincetti, M. ; Boffi, S. - Physical Review. D, Particles Fields

The unpolarized, helicity, and transversity distributions of quarks in the proton are calculated in the overlap representation of light-cone wave functions truncated to the lowest order Fock-space components with three valence quarks. The three distributions at the hadronic scale satisfy an interesting relation consistent with the Soffer inequality. Results are derived in a relativistic quark model including evolution up to the next-to-leading order. Predictions for the double transverse-spin asymmetry in Drell-Yan dilepton production initiated by proton-antiproton collisions are presented. Asymmetries of about 20%-30% are found in the kinematic conditions of the PAX experiment.
DOI: 10.1103/PHYSREVD.76.034020

Similar Records