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

Abstract

AbstractIn this paper, we calculate the vector, axial-vector and tensor form factors of $$P\rightarrow T$$ P → 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 $$\omega $$ ω -dependent contributions to the form factors of $$P\rightarrow T$$ P → 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 $$c\rightarrow (q,s)$$ c → ( q , s )  ($$q=u,d$$ q = u , d ) induced $$D \rightarrow (a_2,K^*_2)$$ D → ( a 2 , K 2 ∗ ) , $$D_s \rightarrow (K^*_2,f'_{2})$$ D s → ( K 2 ∗ , f 2 ′ ) , $$\eta _c(1S) \rightarrow (D^*_2,D^*_{s2})$$ η c ( 1 S ) → ( D 2 ∗ , D s 2 ∗ ) , $$ B_c \rightarrow (B^*_2,B^*_{s2})$$ B c → ( B 2 ∗ , B s 2 ∗ ) transitions and $$b\rightarrow (q,s,c)$$ b → ( q , s , c ) induced $$B \rightarrow (a_2,K^*_2,D^*_2)$$ B → ( a 2 , K 2 ∗ , D 2 ∗ ) , $$B_s \rightarrow (K^*_2,f'_2,D^*_{s2})$$ B s → ( K 2 ∗ , f 2 ′ , D s 2 ∗ ) , $$B_c \rightarrow (D^*_2,D^*_{s2},\chi _{c2}(1P))$$ B c → ( D 2 ∗ , D s 2 ∗ , χ c 2 ( 1 P ) ) , $$\eta _b(1S) \rightarrow (B^*_2,B^*_{s2})$$ η b ( 1 S ) → ( B 2 ∗ , B s 2 ∗ ) transitions. Finally, in order to test the obtained form factors, the semileptonic $$B\rightarrow {\bar{D}}_2^*(2460)\ell ^+\nu _\ell $$ B → D ¯ 2 ∗ ( 2460 ) ℓ + ν ℓ  ($$\ell =e,\mu $$ ℓ = e , μ ) and $${\bar{D}}_2^*(2460)\tau ^+\nu _{\tau }$$ D ¯ 2 ∗ ( 2460 ) τ + ν τ decays are studied. It is expected that our results for the form factors of $$P\rightarrow T$$ P → T transition can be applied further to the relevant phenomenological studies of meson decays.