Twist-2 Pseudoscalar and Vector Meson Distribution Amplitudes in Light-Front Quark Model with Exponential-type Confining Potential

Abstract

We study the twist-2 distribution amplitudes (DAs) and the decay constants of pseudoscalar light ($\pi$, $K$) and heavy ($D$, $D_s$, $B$, $B_s$) mesons as well as the longitudinally and transversely polarized vector light ($\rho$, $K^{\ast }$) and heavy ($D^{\ast }$, $D_s^{\ast }$, $B^{\ast }$, $B_s^{\ast }$) mesons in the light-front quark model with the Coulomb plus exponential-type confining potential $V_{\exp }=a+b{e}^{\alpha r}$ in addition to the hyperfine interaction. We first compute the mass spectra of ground state pseudoscalar and vector light and heavy mesons and fix the model parameters necessary for the analysis, applying the variational principle with the trial wave function up to the first three lowest order harmonic oscillator (HO) wave functions $\Phi (x,{\text{k}}_{\perp })={\sum }_{n=1}^3{c}_n{\varphi }_{nS}$. We then obtain the numerical results for the corresponding decay constants of light and heavy mesons. We estimate the DAs, analyze their variation as a function of momentum fraction and compute the first six $\xi$-moments of the $B$ and $D$ mesons as well. We compare our results with the available experimental data as well as with the other theoretical model predictions.

32 pages, 9 figures

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Cited by in corpus (12)

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• Tensor form factors of $P\to P,S,V$ and $A$ transitions within the standard and the covariant light-front approaches
• Pseudoscalar meson decay constants and distribution amplitudes up to twist-4 in the light-front quark model
• Investigating the ratio of CKM matrix elements $|V_{ub}|/|V_{cb}|$ from semileptonic decay $B_s^0\to K^{-}{\mu }^{+}{\nu }_{\mu }$ and kaon twist-2 distribution amplitude
• Purely leptonic decays of the ground charged vector mesons
• Revisiting $D$-meson twist-2, 3 distribution amplitudes
• Spectroscopy of excited quarkonium states in the light-front quark model
• Footprint in fitting $B\to D$ vector form factor and determination for $D$-meson leading-twist LCDA
• Constraint of $\xi$-moments calculated with QCD sum rules on the pion distribution amplitude models
• Structure of heavy quarkonia in a strong magnetic field
• Distribution amplitudes of heavy-light pseudo-scalar and vector mesons from Dyson-Schwinger equations framework