论文标题
注意重叠共振的分支比率的定义
Note on the definitions of branching ratios of overlapping resonances
论文作者
论文摘要
具有较大宽度或接近阈值的Hadron的衰减的分支比取决于其定义。我们测试不同的定义，并表明可以获得相当不同的分支比率。对于广泛的共振和连续衰减具有广泛的中间共振，必须进行光谱函数的整合。对BONN-GATCHINA多渠道分析的最新解决方案进行了测试，并为光标量介子的残基发表了值。对于与阈值重叠的共振，如果它的极点在非呈板上，我们显示分支比率所需的总宽度与极点位置的假想部分不符。我们使用Madrid-Krakow分散参数化来说明$ f_0（980）$的情况。
Branching ratios for the decay of hadrons with large width or near thresholds depend on their definition. We test different definitions and show that rather different branching ratios can be obtained. For wide resonances and for sequential decays with wide intermediate resonances, integration over the spectral functions is mandatory. The tests are performed exploiting the latest solution of the Bonn-Gatchina multi-channel analysis and published values for residues of light scalar mesons. For a resonance overlapping with a threshold, in case its pole lies in a non-adjacent sheet, we show how the total width, needed for the branching ratios, does not correspond to the imaginary part of the pole position. We use the Madrid-Krakow dispersive parameterizations to illustrate this situation with the $f_0(980)$.
