Study on the Distribution Amplitude of the Scalar Meson $K_0^{\ast }(1430)$

Based on sum rules, we explore the twist-2 distribution amplitude of the $K_0^{\ast }(1430)$ meson, treating it as the ground state of a quark-antiquark system. We posit that the spacetime distance $x$ should be infinitesimally close to the quark separation $z$. By incorporating quark distance corrections, with $x^2\approx z^2\approx xz$, the calculated moments yield additional insights. Moreover, we employ light-cone sum rules to compute the form factors for the semi-leptonic decay process $B_s\to K$. The reliability of the computed distribution amplitude is confirmed through its comparison with the form factor.