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用光锥QCD求和规则分析耦合常数$g_{a_0ηπ^0}$和$g_{a_0η'π^0}$

Analysis of the coupling constants $g_{a_0ηπ^0}$ and $g_{a_0η'π^0}$ with light-cone QCD sum rules

Zhi-Gang Wang

备注：
17 pages, 3 figures, revised version, add some technical details
发表信息：
Chin.Phys.C34:7-15,2010
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摘要：

本文从轻标量介子$a_0(980)$是一个常规的$q\bar{q}$态的观点出发，利用光锥QCD求和规则计算了$g_{a_0ηπ^0}$和$g_{a_0 η'π^0}$的耦合常数.耦合常数$g_{a_0ηπ^0}$的中心值与从辐射衰变$ϕ(1020)\to a_0(980)γ\to ηπ^0 γ$中提取的中心值一致。衰变宽度$Γ_{a_{0}\to ηπ^0}=127^{+84}_{-48} \rm{MeV} $的中心值和下限与粒子数据组的总衰变宽度$Γ_{a_0(980)}=(50-100) \rm{MeV}$的实验数据一致，具有非常依赖于模型的估计（衰变宽度可以大得多），而上限太大。对理论计算与实验数据之间的差异给出了可能的解释。

英文摘要：

In this article, we take the point of view that the light scalar meson $a_0(980)$ is a conventional $q\bar{q}$ state, and calculate the coupling constants $g_{a_0ηπ^0}$ and $g_{a_0 η'π^0}$ with the light-cone QCD sum rules. The central value of the coupling constant $g_{a_0ηπ^0}$ is consistent with the one extracted from the radiative decay $ϕ(1020)\to a_0(980)γ\to ηπ^0 γ$. The central value and lower bound of the decay width $Γ_{a_{0}\to ηπ^0}=127^{+84}_{-48} \rm{MeV} $ are compatible with the experimental data of the total decay width $Γ_{a_0(980)}=(50-100) \rm{MeV}$ from the Particle Data Group with very model dependent estimation (the decay width can be much larger), while the upper bound is too large. We give possible explanation for the discrepancy between the theoretical calculation and experimental data.

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