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Twist-3 light-cone distribution amplitudes of the scalar mesons within the QCD sum rules and their application to the

Abstract

We investigate the twist-3 light-cone distribution amplitudes (LCDAs) of the scalar mesons a0, K0βˆ— K^{\ast}_{0} and f0 within the QCD sum rules. The QCD sum rules are improved by a consistent treatment of the sizable s -quark mass effects within the framework of the background field approach. Adopting the valence quark component (qΛ‰1q2) (\bar{q}_{1} q_{2}) as the dominant structure of the scalar mesons, our estimation for their masses is close to the measured a0(1450) a_{0}(1450) , K0βˆ—(1430) K^{\ast}_{0}(1430) and f0(1710) f_{0}(1710) . From the sum rules, we obtain the first two non-zero moments of the twist-3 LCDAs Ο•a0s,Οƒ \phi^{s,\sigma}_{a_{0}} : ⟨ξs,a02(4)⟩=0.369β€…β€Š(0.245) \langle \xi_{s,a_0}^{2(4)}\rangle=0.369\;(0.245) and βŸ¨ΞΎΟƒ,a02(4)⟩=0.203β€…β€Š(0.093) \langle \xi_{\sigma,a_{0}}^{2(4)}\rangle=0.203 \;(0.093) ; those of the twist-3 LCDAs Ο•K0βˆ—s,Οƒ \phi_{K^{\ast}_{0}}^{s,\sigma} : ⟨ξs,K0βˆ—1(2)⟩=0.004β€…β€Š(0.355) \langle \xi_{s,K^{\ast}_{0}}^{1(2)}\rangle=0.004\;(0.355) and βŸ¨ΞΎΟƒ,K0βˆ—1(2)⟩=0.018β€…β€Š(0.207) \langle \xi_{\sigma,K^{\ast}_{0}}^{1(2)}\rangle =0.018\;(0.207) ; and those of the twist-3 LCDAs Ο•f0s,Οƒ \phi_{f_{0}}^{s,\sigma} : ⟨ξs,f02(4)⟩=0.335β€…β€Š(0.212) \langle \xi_{s,f_{0}}^{2(4)}\rangle=0.335\;(0.212) and βŸ¨ΞΎΟƒ,f02(4)⟩=0.196β€…β€Š(0.088) \langle \xi_{\sigma,f_{0}}^{2(4)}\rangle=0.196\;(0.088) , respectively. As an application of those twist-3 LCDAs, we study the Bβ†’S B\rightarrow S transition form factors by introducing proper chiral currents into the correlator, which is constructed such that the twist-3 LCDAs give dominant contribution and the twist-2 LCDAs make negligible contribution. Our results of the Bβ†’S B\rightarrow S transition form factors at the large recoil region q2≃0 q^{2}\simeq 0 are consistent with those obtained in the literature, which inversely shows the present twist-3 LCDAs are acceptable

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Last time updated on 10/04/2020

This paper was published in EDP Sciences OAI-PMH repository (1.2.0).

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