Light-Front Quark Model Analysis of Exclusive $0^{-}$$\to$$0^{-}$ Semileptonic Heavy Meson Decays

TL;DR

This paper uses a light-front quark model constrained by QCD-inspired interactions to analyze semileptonic heavy meson decays, achieving good agreement with experimental and lattice data, and predicting unmeasured meson spectra.

Contribution

The study introduces an analytic continuation method within a light-front quark model to accurately compute form factors for heavy meson decays, avoiding nonvalence contributions.

Findings

Numerical results align well with experimental data.

Predicted masses for unmeasured meson states.

Validated the model against lattice QCD results.

Abstract

We present the analysis of exclusive $0^{-}$$\to$$0^{-}$ semileptonic heavy meson decays using the constituent quark model based on the light-front quantization. Our model is constrained by the variational principle for the well-known linear plus Coulomb interaction motivated by QCD. Our method of analytic continuation to obtain the weak form factors avoids the difficulty associated with the contribution from the nonvalence quark-antiquark pair creation. Our numerical results for the heavy-to-heavy and heavy-to-light meson decays are in a good agreement with the available experimental data and the lattice QCD results. In addition, our model predicts the two unmeasured mass spectra of $^{1}S_{0}(b\bar{b})$ and $^{3}S_{1}(b\bar{s})$ systems as $M_{b\bar{b}}$=9657 MeV and $M_{b\bar{s}}$= 5424 MeV.