Generalized Relativistic Meson Wave Function

Abstract

We study the most general, relativistic, constituent $q\overline{q}$ meson wave function within a new covariant framework. We find that by including a tensor wave function component, a pure valence quark model is now capable of reproducing not only all static pion data ($f_{\pi }$, $⟨r_{\pi }^2⟩$) but also the distribution amplitude, form factor $(F_{\pi }(Q^2))$, and structure functions. Further, our generalized spin wave function provides a much better detailed description of meson properties than models using a simple relativistic extension of the $S=L=0$ nonrelativistic wave function.

17 pages, REXTeX 3.0 file, (uuencoded postscript files of 8 figures appended)

Cited by in corpus (21)

• Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
• Distribution Functions of the Nucleon and Pion in the Valence Region
• First Monte Carlo global QCD analysis of pion parton distributions
• Glueball Spectroscopy in a Relativistic Many-Body Approach to Hadron Structure
• The pion parton distribution function in the valence region
• Valence-quark distributions in the pion
• First direct lattice-QCD calculation of the $x$-dependence of the pion parton distribution function
• Pion and kaon valence-quark parton distribution functions
• Pion structure function from leading neutron electroproduction and SU(2) flavor asymmetry
• Contact interaction analysis of pion GTMDs
• The leading-twist pion and kaon distribution amplitudes from the QCD instanton vacuum
• An Analysis of Parton Distribution Functions of the Pion and the Kaon with the Maximum Entropy Input
• Quantifying finite-momentum effects in meson quasi-PDFs
• Complementarity of experimental and lattice QCD data on pion parton distributions
• Pion Valence Quark Distributions from Maximum Entropy Method
• Weak Decays in the light--front Quark Model
• Consistent Analysis of O(α_s) Corrections to Pion Elastic Form Factor
• Single Pion Transitions of Charmed Baryons
• Simulation of the neutron-tagged deep inelastic scattering at EicC
• Pion parton distribution functions with the nonrelativistic constituent quark model
• Global QCD Analysis of Pion Parton Distributions with Threshold Resummation