Study on the Distribution Amplitude of the Scalar Meson $K_0^*(1430)$

TL;DR

This paper investigates the twist-2 distribution amplitude of the $K_0^*(1430)$ meson using sum rules and explores its implications for semi-leptonic $B_s$ decays, providing new insights into meson structure.

Contribution

It introduces a method to incorporate quark distance corrections in the distribution amplitude calculation and applies light-cone sum rules to connect this with decay form factors.

Findings

Calculated moments of the distribution amplitude with quark distance corrections.

Computed $B_s ightarrow K$ decay form factors using the derived distribution amplitude.

Confirmed the reliability of the distribution amplitude through comparison with form factor data.

Abstract

Based on sum rules, we explore the twist-2 distribution amplitude of the $K_0^*(1430)$ 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 $x^2 \approx z^2 \approx x z$, the calculated moments yield additional insights. Moreover, we employ light-cone sum rules to compute the form factors for the semi-leptonic decay process $B_s \rightarrow K$. The reliability of the computed distribution amplitude is confirmed through its comparison with the form factor.