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arXiv 2009.10034hep-lathep-ph
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QCD中奇异$1^{-+}$混合介子共振的衰变

Decays of an exotic $1^{-+}$ hybrid meson resonance in QCD

Antoni J. Woss, Jozef J. Dudek, Robert G. Edwards, Christopher E. Thomas, David J. Wilson

摘要:

首次测定了格点QCD中最轻奇异$J^{PC}=1^{-+}$共振的强子衰变。在SU(3)味对称下,上夸克、下夸克和奇夸克的质量与物理奇夸克质量近似匹配,给出$m_π\sim 700$ MeV,我们计算了六个格点体积上的有限体积谱,这些格点体积约束了一个具有八个耦合通道的散射系统。分析继续到复杂的能量平面的散射振幅,我们发现一个极奇异对应于一个狭窄的共振,显示相对较弱的耦合到开放的赝标-赝标,矢量-赝标和矢量-矢量衰变通道,但大耦合到至少一个运动学封闭的轴向矢量-赝标通道。尝试简单地将耦合外推到物理光夸克质量,表明$π_1$共振主要通过$b_1 π$模式衰减,而衰减到$f_1 π$、$ρπ$、$η' π$和$ηπ$的频率要小得多。一个大的总宽度是潜在的协议与实验$π_1(1564)$候选国,观察到的$ηπ$,$η' π$,我们认为可能是严重抑制衰变通道。

英文摘要:

We present the first determination of the hadronic decays of the lightest exotic $J^{PC}=1^{-+}$ resonance in lattice QCD. Working with SU(3) flavor symmetry, where the up, down and strange quark masses approximately match the physical strange-quark mass giving $m_π\sim 700$ MeV, we compute finite-volume spectra on six lattice volumes which constrain a scattering system featuring eight coupled channels. Analytically continuing the scattering amplitudes into the complex energy plane, we find a pole singularity corresponding to a narrow resonance which shows relatively weak coupling to the open pseudoscalar--pseudoscalar, vector--pseudoscalar and vector--vector decay channels, but large couplings to at least one kinematically-closed axial-vector--pseudoscalar channel. Attempting a simple extrapolation of the couplings to physical light-quark mass suggests a broad $π_1$ resonance decaying dominantly through the $b_1 π$ mode with much smaller decays into $f_1 π$, $ρπ$, $η' π$ and $ηπ$. A large total width is potentially in agreement with the experimental $π_1(1564)$ candidate state, observed in $ηπ$, $η' π$, which we suggest may be heavily suppressed decay channels.

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