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Mass and Decay Constant of $I=1/2$ Scalar Meson In QCD Sum Rule

Dong-Sheng Du·Jing-Wu Li·Mao-Zhi Yang
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Abstract

We calculate the mass and decay constant of $I=1/2$ scalar mesons composed of quark-antiquark pairs based on QCD sum rule. The quauk-antiquark pairs can be $s\bar{q}$ or $q\bar{s}$ ($q=u,d$) in quark model, the quantum numbers of spin and orbital angular momentum are S=1, L=1. We obtain the mass of the ground sate in this channel is $1.410\pm 0.049$GeV. This result favors that $K_{0}^{\ast}(1430)$ is the lowest scalar state of $s\bar{q}$ or $q\bar{s}$. We also predict the first excited scalar resonance of $s\bar{q}$ is larger than 2.0 GeV.

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Dong-Sheng Du, Jing-Wu Li, Mao-Zhi Yang. 2005-05-23. Mass and Decay Constant of $I=1/2$ Scalar Meson In QCD Sum Rule. https://doi.org/10.1016/j.physletb.2005.05.043

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