Valence structures of light and strange mesons from the basis light-front quantization framework

TL;DR

This paper uses the basis light-front quantization framework to compute the internal structures of light and strange mesons, incorporating spin-orbit interactions and axial anomaly effects, providing detailed wave functions for several mesons.

Contribution

It introduces a novel application of basis light-front quantization to meson structure, including the effects of the axial anomaly via the Kobayashi-Maskawa-'t Hooft interaction.

Findings

Computed valence light-front wave functions for pion, kaon, eta, and eta-prime mesons.

Incorporated spin-orbit interactions and axial anomaly effects into the meson structure calculations.

Provided a relativistic bound state description of mesons with confined quarks.

Abstract

We apply the basis light-front quantization framework to solve for the structures of mesons with light and strange valence quarks. Our approach treats mesons as relativistic bound states with quarks confined in both the transverse direction and the light-front longitudinal direction. The spin-orbit interactions of these confined quarks are further specified by the Nambu--Jona-Lasinio model. We address the $\mathrm{U}(1)_{\mathrm{A}}$ axial anomaly by including the Kobayashi-Maskawa-'t Hooft interaction regularized by our basis. We present the structures of the pion, the kaon, the eta meson, and the eta-prime meson in terms of their valence light-front wave functions obtained from the eigenvalue problem of our light-front Hamiltonian.