Convergence in charmonium structure: light-front wave functions from basis light-front quantization and Dyson-Schwinger equations

TL;DR

This paper compares two non-perturbative methods, BLFQ and DSE, for calculating charmonium light-front wave functions, finding strong agreement and validating both approaches for studying charmonium structure in QCD.

Contribution

It provides the first systematic comparison of BLFQ and DSE for charmonium, demonstrating their convergence across multiple key observables.

Findings

BLFQ and DSE predictions agree remarkably across all observables.

The convergence validates both frameworks for non-perturbative QCD studies.

Highlights the complementary strengths of Hamiltonian and Lagrangian approaches.

Abstract

We present a systematic comparison of charmonium light-front wave functions obtained through two complementary non-perturbative approaches: Basis Light-Front Quantization (BLFQ) and Dyson-Schwinger equations (DSE). Key observables include the charge form factor, gravitational form factors, light-cone distribution amplitudes, decay constants, and two-photon transition form factors. Despite their distinct theoretical foundations and model parameters, the predictions from BLFQ and DSE exhibit remarkable agreement across all observables. This convergence validates both frameworks for studying charmonium structure and highlights the complementary strengths of Hamiltonian-based (BLFQ) and Lagrangian-based (DSE) methods in addressing non-perturbative QCD.