Light-Cone Quark Model Analysis of Radially Excited Pseudoscalar and Vector Mesons

TL;DR

This paper develops a relativistic quark model using a Gaussian wave function to analyze the mass spectrum and properties of radially excited mesons, aligning well with experimental data and predicting new hadronic features.

Contribution

It introduces a simple variational approach with quark form factors to accurately model radially excited mesons and their decay properties.

Findings

Mass spectrum consistent with experimental data

Generalized formulas for decay constants and form factors

Predictions for properties of radially excited mesons

Abstract

We present a relativistic constituent quark model to analyze the mass spectrum and hadronic properties of radially excited u and d quark sector mesons. Using a simple Gaussian function as a trial wave function for the variational principle of a QCD motivated Hamiltonian, we obtain the mass spectrum consistent with the experimental data. To do the same for several observables such as decay constants and form factors, it seems necessary to include both Dirac and Pauli form factors on the level of constituent quarks. Taking into account the quark form factors, we thus present the generalized formulas for the rho meson decay constant and form factors as well as the $\pi\gamma$ transition form factor. We also predict several hadronic properties for the radially excited states.