Form factors of $P\to T$ transition within the light-front quark models

Abstract

In this paper, we calculate the vector, axial-vector and tensor form factors of $P\to T$ transition within the standard light-front~(SLF) and covariant light-front~(CLF) quark models~(QMs). The self-consistency and Lorentz covariance of CLF QM with two types of correspondence schemes are investigated. The zero-mode effects and the spurious $\omega$-dependent contributions to the form factors of $P\to T$ transition are analyzed. Employing a self-consistent CLF QM, we present our numerical predictions for the vector, axial-vector and tensor form factors of $c\to (q,s)$~($q=u,d$) induced $D\to (a_2,K_2^{\ast })$, $D_s\to (K_2^{\ast },f_2^{\prime })$, ${\eta }_c(1S)\to (D_2^{\ast },D_{s2}^{\ast })$, $B_c\to (B_2^{\ast },B_{s2}^{\ast })$ transitions and $b\to (q,s,c)$ induced $B\to (a_2,K_2^{\ast },D_2^{\ast })$, $B_s\to (K_2^{\ast },f_2^{\prime },D_{s2}^{\ast })$, $B_c\to (D_2^{\ast },D_{s2}^{\ast },{\chi }_{c2}(1P))$, ${\eta }_b(1S)\to (B_2^{\ast },B_{s2}^{\ast })$ transitions. Finally, in order to test the obtained form factors, the semileptonic $B\to {\bar{D}}_2^{\ast }(2460){\ell }^{+}{\nu }_{\ell }$~($\ell =e,\mu$) and ${\bar{D}}_2^{\ast }(2460){\tau }^{+}{\nu }_{\tau }$ decays are studied. It is expected that our results for the form factors of $P\to T$ transition can be applied further to the relevant phenomenological studies of meson decays.

41 pages, 7figures. arXiv admin note: text overlap with arXiv:1908.04677

References in corpus (10)

• Decay constants and radiative decays of heavy mesons in light-front quark model
• Charmless Hadronic B Decays into a Tensor Meson
• B to tensor meson form factors in the perturbative QCD approach
• Semileptonic and radiative decays of the B_c meson in light-front quark model
• $B_c$ to P-Wave Charmonia Transitions in Covariant Light-Front Approach
• B to Light Tensor Meson Form Factors Derived from Light-Cone Sum Rules
• Revisiting the form factors of $P\to V$ transition within the light-front quark models
• Radiative and Semileptonic B Decays Involving the Tensor Meson K_2^*(1430) in the Standard Model and Beyond
• Affleck-Dine Baryogenesis with Observable Neutron-Anti-Neutron Oscillation
• Study of Quasi-two-body $B_{(s)}\to \varphi (f_0(980)/f_2(1270)\to )\pi \pi$ Decays in Perturbative QCD Approach

Cited by in corpus (10)

• Covariant Light-Front Approach for $B_c$ Decays into Charmonium: Implications on Form Factors and Branching Ratios
• Spectroscopic survey of higher-lying states of $B_c$ meson family
• Weak decays of triply heavy baryons in light front approach
• Pseudoscalar meson decay constants and distribution amplitudes up to twist-4 in the light-front quark model
• Angular distribution of the FCNC process $B_c\to D_s^{\ast }(\to D_s\pi ){\ell }^{+}{\ell }^{-}$
• Heavy quark symmetry of ${\Lambda }_b^0$ decays in quark models
• $B_{(s)}\to D_{(s)}^{\ast \ast }$ form factors in HQEFT and model independent analysis of relevant semileptonic decays with NP effects
• Low-mass enhancement of kaon pairs in $B^{+}\to {\bar{D}}^{(\ast )0}{K}^{+}{\bar{K}}^0$ and $B^0\to D^{(\ast )-}{K}^{+}{\bar{K}}^0$ decays
• Study of the axial-vector and tensor resonant contributions to the $D\to VP{\ell }^{+}{\nu }_{\ell }$ decays based on SU(3) flavor analysis
• Flavor SU(3) analysis of the charmless semileptonic $B\to PV{\ell }^{+}{\nu }_{\ell }$ decays