Resonances from lattice QCD

Resonances from lattice QCD
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晶格 QCD 共振

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发表时间:
2018
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通讯作者:
R. Briceño
R. Briceño
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作者:
R. Briceño

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强子的谱主要由衰变为两个或多个强子的短寿态(共振)组成。这些共振在各种现象学上重要的过程中起着重要的作用。在这个演讲中,我给出了一个严格的计划,利用晶格QCD研究共振及其性质的现状。我解释了从有限体积光谱中提取共振振幅所需的形式。从这些可以提取共振的质量和宽度。我提出了一些最近的例子来说明这些想法的力量。然后,我解释类似的形式主义,允许从有限体积矩阵元素的共振电弱振幅的测定。我用最近的πγ → ππ振幅的计算作为例子来说明这种形式主义的力量。从这样的振幅,可以确定共振的过渡形状因子。最后,我回顾了正在进行的努力,将这些想法推广到越来越复杂的反应中,然后我对该领域进行了展望。
The spectrum of hadron is mainly composed as shortly-lived states (resonance) that decay onto two or more hadrons. These resonances play an important role in a variety of phenomenologically significant processes. In this talk, I give an overview on the present status of a rigorous program for studying of resonances and their properties using lattice QCD. I explain the formalism needed for extracting resonant amplitudes from the finite-volume spectra. From these one can extract the masses and widths of resonances. I present some recent examples that illustrate the power of these ideas. I then explain similar formalism that allows for the determination of resonant electroweak amplitudes from finite-volume matrix elements. I use the recent calculation of the πγ → ππ amplitude as an example illustrating the power of this formalism. From such amplitudes one can determine transition form factors of resonances. I close by reviewing on-going efforts to generalize these ideas to increasingly complex reactions and I then give a outlook of the field.