标题： $ω$从格点QCD中的介子 显示英文标题

标题： $ω$ meson from lattice QCD

摘要： 许多强子谱中的激发态对三强子末态具有较大的分支比。 从第一性原理理解这些粒子 需要来自格点QCD的输入，包括一、二和三个介子插值算符，以及一种可靠的三体形式，将非物理介子质量值下的有限体积谱与物理点处的散射振幅联系起来。 在本工作中，我们首次从格点QCD计算了$\omega$介子的共振参数，包括通过与有效场论匹配来更新该形式。 这项开创性研究的主要结果是$\omega$介子的极点位置在$\sqrt{s_\omega}= (778.0(11.2)-i\,3.0(5) )\,\mathrm{MeV}$，与实验结果相当吻合。 此外，我们提供了$\omega-\rho$质量差的估计值为$29(15)\,\mathrm{MeV}$。 显示英文摘要

摘要： Many excited states in the hadron spectrum have large branching ratios to three-hadron final states. Understanding such particles from first principles QCD requires input from lattice QCD with one-, two-, and three-meson interpolators as well as a reliable three-body formalism relating finite-volume spectra at unphysical pion mass values to the scattering amplitudes at the physical point. In this work, we provide the first-ever calculation of the resonance parameters of the $\omega$ meson from lattice QCD, including an update of the formalism through matching to effective field theories. The main result of this pioneering study, the pole position of the $\omega$ meson at $\sqrt{s_\omega}= (778.0(11.2)-i\,3.0(5) )\,\mathrm{MeV}$, agrees reasonably well with experiment. In addition we provide an estimate of the $\omega-\rho$ mass difference as $29(15)\,\mathrm{MeV}$.