Two-particle twist-3 distribution amplitudes of the pion and kaon in the light-front quark model

Abstract

We investigate the two-particle twist-3 distribution amplitudes (DAs) of the pseudoscalar mesons, in particular pseudoscalar (φ P 3;M (x)) and pseudotensor (φ σ 3;M (x)) DAs of pion and kaon, in the lightfront quark model based on the variational principle. We find that the behavior of the conformal symmetry in each meson distribution amplitude depends on the chiral limit characteristics of the light-front trial wave function taken in the variational principle. We specifically take the two different light-front trial wave functions, Gaussian vs. power-law type, and discuss their characteristics of the conformal symmetry in the chiral symmetry limit as well as their resulting degree of the conformal symmetry breaking in φ P 3;M (x) and φ σ 3;M (x) depending on the trial wave function taken in the computation. We present numerical results of transverse moments, Gegenbauer-moments and ξ-moments and compare them with other available model estimates. The SU(3) flavor-symmetry breaking effect is also quantified with the numerical computation.

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“…We should note that the correspondence in Eq. (13) between the covariant model and the LFQM has been verified through our previous analyses of pseudoscalar [22] and pseudotensor [23] twist-3 DAs of a pseudoscalar meson and the chirality-even twist-2 and twist-3 DAs of a vector meson [21]. The virtue of Eq.…”

Current-Component Independent Transition Form Factors for Semileptonic and Rare D ⟶ π K Decays in the Light-Front Quark Model

“…Thus, as an attempt to apply the zero modes found in the BS model to the standard LFQM, the effective replacement [45,46,49] of the LF vertex function χðx, k ⊥ Þ obtained in the BS model with the more realistic Gaussian WF ϕðx, k ⊥ Þ in the standard LFQM has been made. However, we found [51][52][53] that the correspondence relation between χ and ϕ proposed in [45,46,49] encounters the self-consistency problem, e.g., the vector meson decay constant obtained in the standard LFQM was found to be different for different sets of the LF current components and polarization states of the vector meson [51]. We also resolved [51][52][53] this self-consistency problem by imposing the on-mass shell condition of the constituent quark and antiquark in addition to the original correspondence relation between χ and ϕ.…”

“…However, we found [51][52][53] that the correspondence relation between χ and ϕ proposed in [45,46,49] encounters the self-consistency problem, e.g., the vector meson decay constant obtained in the standard LFQM was found to be different for different sets of the LF current components and polarization states of the vector meson [51]. We also resolved [51][52][53] this self-consistency problem by imposing the on-mass shell condition of the constituent quark and antiquark in addition to the original correspondence relation between χ and ϕ. Specifically, our new finding for the constraint of the on-mass shell condition corresponds to the replacement of physical meson mass M with the invariant mass M 0 in the calculation of the matrix element.…”

Systematic twist expansion of (ηc,ηb)→γRyu1, Choi2, Ji3 2018Phys. Rev. DSelf Cite9010View full textAdd to dashboardCite

“…By applying the self-consistent correspondence relations (see, e.g., Eq. (35) in [41]) between the covariant BS model and our LFQM found in the analysis of the twist-2 and twist-3 DAs of pseudoscalar and vector mesons [41][42][43] and the pion electromagnetic form factor [41], we were able to obtain the meson-photon TFFs [25] using the α = 1 frame with the more phenomenologically accessible Gaussian wave functions backed by the LFQM analysis of meson mass spectra [26][27][28][29][30].…”