Internal structure of light mesons using the power law wave function

In this paper, we study the internal structure of light pseudoscalar mesons using spin-improved power-law wave functions. We chose the pion and the kaon for our work. We use the standard quark–quark correlation functions to calculate the distribution amplitudes (DAs), parton distribution functions (PDFs), transverse momentum parton distribution functions (TMDs), and generalized parton distribution functions (GPDs) at zero skewness and form factors. We present all the above distribution functions through the overlap of light-front wave functions (LFWFs). We use leading-order Efermov-Radyushkin-Brodksy-Lepage (ERBL) equations for DAs and next-to-leading-order (NLO) Dokshitzer–Gribov–Lipatov–Altarelli–Parisi (DGLAP) equations for PDFs to evolve them to higher scales. We find that only 41% of the longitudinal momentum fraction is carried by the quark and antiquark of both pion and kaon at 16[Formula: see text]GeV 2 . The vector form factors for both the pion and the kaon are found to be in good agreement with the experimental data. Similarly, the electromagnetic charge radii are found to be 0.668[Formula: see text]fm and 0.704[Formula: see text]fm for pion and kaon, respectively.

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Publication Details

Journal
Modern Physics Letters A
Published
2026-04-06
DOI
https://doi.org/10.1142/s0217732326420113
Primary Topic
Quantum Chromodynamics and Particle Interactions
Type
article
Field-Weighted Citation Impact
0.00

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article

Internal structure of light mesons using the power law wave function

Narinder Kumar, Harleen Dahiya, Satyajit Puhan
Modern Physics Letters A
Quantum Chromodynamics and Particle Interactions
article

Internal structure of light mesons using the power law wave function

Narinder Kumar, Harleen Dahiya, Satyajit Puhan
article en

Abstract

In this paper, we study the internal structure of light pseudoscalar mesons using spin-improved power-law wave functions. We chose the pion and the kaon for our work. We use the standard quark–quark correlation functions to calculate the distribution amplitudes (DAs), parton distribution functions (PDFs), transverse momentum parton distribution functions (TMDs), and generalized parton distribution functions (GPDs) at zero skewness and form factors. We present all the above distribution functions through the overlap of light-front wave functions (LFWFs). We use leading-order Efermov-Radyushkin-Brodksy-Lepage (ERBL) equations for DAs and next-to-leading-order (NLO) Dokshitzer–Gribov–Lipatov–Altarelli–Parisi (DGLAP) equations for PDFs to evolve them to higher scales. We find that only 41% of the longitudinal momentum fraction is carried by the quark and antiquark of both pion and kaon at 16[Formula: see text]GeV 2 . The vector form factors for both the pion and the kaon are found to be in good agreement with the experimental data. Similarly, the electromagnetic charge radii are found to be 0.668[Formula: see text]fm and 0.704[Formula: see text]fm for pion and kaon, respectively.

Modern Physics Letters A
Doaba College (IN), Dr. B. R. Ambedkar National Institute of Technology Jalandhar (IN)
National Research Foundation, Tata Institute of Fundamental Research, Science and Engineering Research Board
Peace, Justice and strong institutions
Openalex Percentile: Top 29%
Quantum Chromodynamics and Particle Interactions
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