Pion parton distribution functions with the nonrelativistic constituent quark model

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 Schrodinger equation within the framework of constituent quark model. We transform the pi wave function from the rest frame to the light cone or infinite momentum frame based on the Lorentz boost. The valence quark distributions at the initial evolution scale are obtained. The QCD evolution is given with the DGLAP equations with partonparton recombination corrections. With tuning the valence up (down) quark mass to 70 MeV, the calculated valence up quark distributions at Q2 = 20 GeV2 are in good agreement with the E615 experimental data. The structure functions F pi 2 (x, Q2) of pion are also calculated which consist with the H1 experimental data. The proposed mechanisms here could be also used to study other hadrons.(c) 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3.

Automated summary

In this study, the valence quark distribution functions of the pi meson were calculated using the non-relativistic chiral constituent quark model. The pi wave function was obtained by solving the two-body Schrodinger equation and then transformed into the light cone frame. The calculated results are consistent with experimental data, and the structure functions of the pi meson were also calculated.