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arXiv 1507.07928hep-phhep-lat
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连接物理共振振幅与格点量子色动力学

Connecting physical resonant amplitudes and lattice QCD

Daniel R. Bolton, Raul A. Briceno, David J. Wilson

摘要:

我们提出了一个确定的等矢量,$P$波$ππ$散射相移外推最近的格点量子色动力学的结果从强子谱合作使用$m_π=236$ MeV。有限体积谱的描述使用扩展的Lüscher的方法来确定无限体积的统一手征微扰理论散射振幅。我们利用这个有效的理论的π质量的依赖性,以获得在$m_π= 140$ MeV的散射振幅。散射相移被认为是在良好的协议与实验高达质心能量为1.2 GeV。散射振幅到复平面的解析延拓在$E_ρ= \left[755(2)(1)(^{20}_{02})-\frac{i}{2}\,129(3)(1)(^{7}_{1})\right]~{\rm MeV}$处产生$ρ$ -共振极点。所提出的技术说明了一种可能的途径连接格点量子色动力学观测的少体,强相互作用系统的实验可访问的数量。

英文摘要:

We present a determination of the isovector, $P$-wave $ππ$ scattering phase shift obtained by extrapolating recent lattice QCD results from the Hadron Spectrum Collaboration using $m_π=236$ MeV. The finite volume spectra are described using extensions of Lüscher's method to determine the infinite volume Unitarized Chiral Perturbation Theory scattering amplitude. We exploit the pion mass dependence of this effective theory to obtain the scattering amplitude at $m_π= 140$ MeV. The scattering phase shift is found to be in good agreement with experiment up to center of mass energies of 1.2 GeV. The analytic continuation of the scattering amplitude to the complex plane yields a $ρ$-resonance pole at $E_ρ= \left[755(2)(1)(^{20}_{02})-\frac{i}{2}\,129(3)(1)(^{7}_{1})\right]~{\rm MeV}$. The techniques presented illustrate a possible pathway towards connecting lattice QCD observables of few-body, strongly interacting systems to experimentally accessible quantities.

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