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.

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