$$K_0^*(1430)$$ twist-2 distribution amplitude and $$B_s,D_s \rightarrow K_0^*(1430)$$ transition form factors

Abstract

AbstractBased on the scenario that the $$K_0^*(1430)$$ K 0 ∗ ( 1430 ) is viewed as the ground state of $$s\bar{q}$$ s q ¯ or $$q\bar{s}$$ q s ¯ , we study the $$K_0^*(1430)$$ K 0 ∗ ( 1430 ) leading-twist distribution amplitude (DA) $$\phi _{2;K_0^*}(x,\mu )$$ ϕ 2 ; K 0 ∗ ( x , μ ) with the QCD sum rules in the framework of background field theory. A more reasonable sum rule formula for $$\xi $$ ξ -moments $$\langle \xi ^n\rangle _{2;K_0^*}$$ ⟨ ξ n ⟩ 2 ; K 0 ∗ is suggested, which eliminates the influence brought by the fact that the sum rule of $$\langle \xi ^0_p\rangle _{3;K_0^*}$$ ⟨ ξ p 0 ⟩ 3 ; K 0 ∗ cannot be normalized in whole Borel region. More accurate values of the first ten $$\xi $$ ξ -moments, $$\langle \xi ^n\rangle _{2;K_0^*} (n = 1,2,\ldots ,10)$$ ⟨ ξ n ⟩ 2 ; K 0 ∗ ( n = 1 , 2 , … , 10 ) , are evaluated. A new light-cone harmonic oscillator (LCHO) model for $$K_0^*(1430)$$ K 0 ∗ ( 1430 ) leading-twist DA is established for the first times. By fitting the resulted values of $$\langle \xi ^n\rangle _{2;K_0^*} (n = 1,2,\ldots ,10)$$ ⟨ ξ n ⟩ 2 ; K 0 ∗ ( n = 1 , 2 , … , 10 ) via the least squares method, the behavior of $$K_0^*(1430)$$ K 0 ∗ ( 1430 ) leading-twist DA described with LCHO model is determined. Further, by adopting the light-cone QCD sum rules, we calculate the $$B_s,D_s \rightarrow K_0^*(1430)$$ B s , D s → K 0 ∗ ( 1430 ) transition form factors and branching fractions of the semileptonic decays $$B_s,D_s \rightarrow K_0^*(1430) \ell \nu _\ell $$ B s , D s → K 0 ∗ ( 1430 ) ℓ ν ℓ . The corresponding numerical results can be used to extract the Cabibbo-Kobayashi-Maskawa matrix elements by combining the relative experimental data in the future.