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Twist-2 distribution amplitudes of $a_{0}(980)$ and $a_{0}(1450)$

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arxiv 2409.15776 v2 pith:L4H4G5CD submitted 2024-09-24 hep-ph nucl-th

classification hep-phnucl-th
keywords amplitudesdistributiontwist-2mesonsmomentsscalartwo-quarkanalyze
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We investigate the twist-2 distribution amplitudes of the scalar mesons $a_{0}(980)$ and $a_{0}(1450)$ in the two-quark picture. The moments of these scalar mesons are obtained up to the third order with QCD sum rules method. With these moments, the first two Gegenbauer coefficients are determined and utilized to analyze the twist-2 distribution amplitudes. Our numerical results indicate that the meson $a_{0}(980)$ favors a conventional two-quark ground state. The paper concludes with an examination of the form factors for the transitions $B/D\rightarrow a_{0}$.

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