Pion parton distribution functions with the nonrelativistic constituent quark model
arXiv:2204.06798 · doi:10.1016/j.nuclphysb.2023.116321
Abstract
We calculate the valence quark distribution functions of the meson using the non-relativistic chiral constituent quark model. The wave function is obtained by solving the two-body Schrödinger equation within the framework of constituent quark model. We transform the 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 are given with the DGLAP equations with parton-parton recombination corrections. With tuning the valence up (down) quark mass to 70 MeV, the calculated valence up quark distributions at GeV are in good agreement with the E615 experimental data. The structure functions of pion are also calculated which consist with the H1 experimental data. The proposed mechanisms here could be also used to study other hadrons.
arXiv comment9 pages, 6 figures
References in corpus (28)
- Pion mass and decay constant
- Constituent quark model study of the meson spectra
- Physics Opportunities with the 12 GeV Upgrade at Jefferson Lab
- Pionic Parton Distributions Revisited
- Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
- Hadron Properties and Dyson-Schwinger Equations
- Distribution Functions of the Nucleon and Pion in the Valence Region
- Pion Valence Structure from Ioffe Time Pseudo-Distributions
- Symmetry, symmetry breaking, and pion parton distributions
- Parton Distribution Functions from a Light Front Hamiltonian and QCD Evolution for Light Mesons
- Valence parton distribution of pion from lattice QCD: Approaching continuum
- Leading neutron production in collisions at HERA
- Pion valence quark distribution from current-current correlation in lattice QCD
- Measurement of Leading Neutron Production in Deep-Inelastic Scattering at HERA
- Valence-quark distribution functions in the kaon and pion
- Pion and kaon valence-quark parton distribution functions
- Selected Science Opportunities for the EicC
- Parton distribution functions in the pion from lattice QCD
- A new approach to parton recombination in a QCD evolution equation
- A new modified Altarelli-Parisi evolution equation with parton recombination in proton
- Continuum-extrapolated NNLO Valence PDF of Pion at the Physical Point
- Reflections upon the Emergence of Hadronic Mass
- An Analysis of Parton Distribution Functions of the Pion and the Kaon with the Maximum Entropy Input
- Generalized Relativistic Meson Wave Function
- Dynamical parton distributions from DGLAP equations with nonlinear corrections
- Pion Valence Quark Distributions from Maximum Entropy Method
- Meson cloud effects on the pion quark distribution function in the chiral constituent quark model
- Kaon-Nucleus Drell-Yan Processes and Kaon Structure Functions