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arXiv 0907.2683hep-phhep-ex
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X(3872)混合分子-粲夸克态的QCD求和规则

QCD Sum Rules for the X(3872) as a mixed molecule-charmoniun state

R. D. Matheus, F. S. Navarra, M. Nielsen, C. M. Zanetti

摘要:

我们用QCD求和规则来检验介子X(3872)的性质,假设它是粲偶素和奇异分子[c \bar{q} ][q \bar{c} ]态的混合物,J^{PC}=1^{++}。我们发现,只有一个很小的范围内的值的混合角,θ,可以同时提供良好的协议与实验值的质量和衰变宽度,这个范围是θ之间的5和13度。在此范围内,我们得到了m_X=(3.77 \pm 0.18)GeV和Γ(X to J/π ^+ π^-)=(9.3 \pm 6.9)MeV,在误差范围内,它们与实验值是一致的。因此,我们得出结论,X(3872)大约97%是一种粲鎓态,其中3%是\sim 88% D ^0 D ^{*0}分子和\sim 12% D^+D^{*-}分子的混合物。

英文摘要:

We use QCD sum rules to test the nature of the meson X(3872), assumed to be a mixture between charmonium and exotic molecular [c\bar{q}][q\bar{c}] states with J^{PC}=1^{++}. We find that there is only a small range for the values of the mixing angle, θ, that can provide simultaneously good agreement with the experimental value of the mass and the decay width, and this range is θbetween 5 and 13 degrees. In this range we get m_X=(3.77 \pm 0.18) GeV and Γ(X to J/ψπ^+ π^-)=(9.3 \pm 6.9) MeV, which are compatible, within the errors, with the experimental values. We, therefore, conclude that the X(3872) is approximately 97% a charmonium state with 3% admixture of \sim 88% D^0D^{*0} molecule and \sim 12% D^+D^{*-} molecule.

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