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

• Published in: arXiv.org
• Main Authors: Chen, Lili, Yu-Wan, Ren, Li-Ting, Wang, Chang, Qin
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 13.05.2022
• Subjects: Form factors; Mathematical analysis; Numerical prediction; Particle decay; Quark models; Quarks; Tensors
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.2112.08016

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 \(D \to (a_2,K^*_2)\), \(D_s \to (K^*_2,f'_{2})\), \(\eta_c(1S) \to (D^*_2,D^*_{s2})\), \( B_c \to (B^*_2,B^*_{s2})\) transitions and \(b\to (q,s,c)\) induced \(B \to (a_2,K^*_2,D^*_2)\), \(B_s \to (K^*_2,f'_2,D^*_{s2})\), \(B_c \to (D^*_2,D^*_{s2},\chi_{c2}(1P))\), \(\eta_b(1S) \to (B^*_2,B^*_{s2})\) transitions. Finally, in order to test the obtained form factors, the semileptonic \(B\to \bar{D}_2^*(2460)\ell^+\nu_\ell\)~(\(\ell=e,\mu\)) and \(\bar{D}_2^*(2460)\tau^+\nu_{\tau}\) 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.