arXiv 2501.113312025-01hep-phhep-exhep-lat

轻杂化介子$1^{\text{-+}}$的衰变

Decays of the light hybrid meson $1^{\mathrm{-+}}$

G. Daylan Esmer, K. Azizi, H. Sundu, S. Türkmen

备注：: 12 Pages and 5 Figures

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AI总结：

本研究采用QCD三点求和规则方法计算轻同位旋矢量杂化介子$H_{\text{V}}$（$1^{\text{-+}}$）的全宽度及各衰变道分宽度，明确各衰变道的贡献占比，为相关理论预测梳理和共振态分析提供参考。

摘要：

本文通过考虑$H_{\text{V}} \to \rho^{\text{±}}\text{π}^{\bar{}}$、$b_1^{\text{±}}\text{π}^{\bar{}}$、$f_1(1285)\text{π}$、$f_1(1420)\text{π}$、$\bar{}\text{ηπ}$和$\bar{}\text{η}^{\text{′}}\text{π}$衰变过程，计算了自旋宇称为$1^{\text{-+}}$、组分结构为$(\bar{u}gu-\bar{d}gd)/\bar{}\text{√2}$的轻同位旋矢量杂化介子$H_{\text{V}}$的全宽度。为计算这些衰变道的分宽度，我们采用了QCD三点求和规则方法，该方法是确定相应杂化介子-介子顶点处强耦合的必要手段。结果表明，杂化介子全宽度$Γ[H_{\text{V}}]=(109.7\bar{}\text{±}16.0)\bar{}\text{~MeV}$的主要贡献来自$H_{\text{V}} \to \rho^{\text{±}}\text{π}^{\bar{}}$过程，其分宽度约为$67\bar{}\text{~MeV}$。$H_{\text{V}} \to b_1\text{π}$和$H_{\text{V}} \to f_1\text{π}, f_1^{\text{′}}\text{π}$衰变的效应也相当显著：它们的分宽度分别为$13\bar{}\text{~MeV}$和$20\bar{}\text{~MeV}$。衰变为$\bar{}\text{ηπ}$和$\bar{}\text{η}^{\text{′}}\text{π}$介子的过程是次要反应，但仍占全宽度$Γ[H_{\text{V}}]$的约9%。本文所得结果或有助于厘清现有文献中关于$H_{\text{V}}$的诸多预测分歧，也可用于不同共振态的分析。

英文摘要：

The full width of the light isovector hybrid meson $H_{\mathrm{V}}$ with spin-parities $1^{\mathrm{-+}}$ and content $(\overline{u}gu-\overline{d}gd)/ \sqrt{2}$ is evaluated by considering the decays $H_{\mathrm{V}} \to ρ^{\pm}π^{\mp}$, $b_1^{\pm}π^{\mp}$, $f_1(1285)π$, $f_1(1420)π$, $ ηπ$, and $η^{\prime} π$. To calculate the partial widths of these channels, we use QCD three-point sum rule method which is necessary to determine strong couplings at the corresponding hybrid-meson-meson vertices. It turns out that the main contribution to the full width $Γ[H_{\mathrm{ V}}]=(109.7 \pm 16.0)~\mathrm{MeV}$ of the hybrid meson comes from the processes $H_{\mathrm{V}} \to ρ^{\pm}π^{\mp}$ partial width of which amounts to $\approx 67~\mathrm{MeV}$. The effects of the decays $H_{\mathrm{V }} \to b_1π$ and $H_{\mathrm{V}} \to f_1π, f_1^{\prime} π$ are also sizeable: Their partial widths are equal to $13~\mathrm{MeV}$ and $20~ \mathrm{MeV}$, respectively. The decays to $ηπ$ and $η^{\prime} π$ mesons are subdominant reactions, nevertheless they form $\approx 9\%$ of the full width $Γ[H_{\mathrm{V}}]$. Results obtained in this work may be interesting to unravel the tangle of predictions about $H_{\mathrm{V}}$ existing in the literature, as well as useful in analyses of different resonances.

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