Form factors of transition within the light-front quark models

Lili Chen; Yu-Wan Ren; Li-Ting Wang; Qin Chang

doi:10.1140/epjc/s10052-022-10391-0

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 451
https://doi.org/10.1140/epjc/s10052-022-10391-0

Regular Article - Theoretical Physics

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

Lili Chen, Yu-Wan Ren, Li-Ting Wang and Qin Chang^d

Institute of Particle and Nuclear Physics, Henan Normal University, 453007, Henan, China

^d changqin@htu.edu.cn

Received: 27 February 2022
Accepted: 30 April 2022
Published online: 17 May 2022

Abstract

In this paper, we calculate the vector, axial-vector and tensor form factors of $P \to T$ $P\rightarrow T$ 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 $ω$ $\omega$ -dependent contributions to the form factors of $P \to T$ $P\rightarrow T$ transition are analyzed. Employing a self-consistent CLF QM, we present our numerical predictions for the vector, axial-vector and tensor form factors of $c \to (q, s)$ $c\rightarrow (q,s)$ ( $q = u, d$ $$q=u,d$$ ) induced $D \to (a_{2}, K_{2}^{*})$ $D \rightarrow (a_2,K^*_2)$ , $D_{s} \to (K_{2}^{*}, f_{2}^{'})$ $D_s \rightarrow (K^*_2,f'_{2})$ , $η_{c} (1 S) \to (D_{2}^{*}, D_{s 2}^{*})$ $\eta _c(1S) \rightarrow (D^*_2,D^*_{s2})$ , $B_{c} \to (B_{2}^{*}, B_{s 2}^{*})$ $B_c \rightarrow (B^*_2,B^*_{s2})$ transitions and $b \to (q, s, c)$ $b\rightarrow (q,s,c)$ induced $B \to (a_{2}, K_{2}^{*}, D_{2}^{*})$ $B \rightarrow (a_2,K^*_2,D^*_2)$ , $B_{s} \to (K_{2}^{*}, f_{2}^{'}, D_{s 2}^{*})$ $B_s \rightarrow (K^*_2,f'_2,D^*_{s2})$ , $B_{c} \to (D_{2}^{*}, D_{s 2}^{*}, χ_{c 2} (1 P))$ $B_c \rightarrow (D^*_2,D^*_{s2},\chi _{c2}(1P))$ , $η_{b} (1 S) \to (B_{2}^{*}, B_{s 2}^{*})$ $\eta _b(1S) \rightarrow (B^*_2,B^*_{s2})$ transitions. Finally, in order to test the obtained form factors, the semileptonic $B \to {\bar{D}}_{2}^{*} (2460) ℓ^{+} ν_{ℓ}$ $B\rightarrow {\bar{D}}_2^*(2460)\ell ^+\nu _\ell$ ( $ℓ = e, μ$ $\ell =e,\mu$ ) and ${\bar{D}}_{2}^{*} (2460) τ^{+} ν_{τ}$ ${\bar{D}}_2^*(2460)\tau ^+\nu _{\tau }$ decays are studied. It is expected that our results for the form factors of $P \to T$ $P\rightarrow T$ transition can be applied further to the relevant phenomenological studies of meson decays.

© The Author(s) 2022

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