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arXiv 1502.03541hep-ph
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阈值附近的不稳定粒子

Unstable Particles near Threshold

Dongjin Chway, Tae Hyun Jung, Hyung Do Kim

摘要:

我们探讨物理学的不稳定粒子时,母粒子的质量是其子粒子质量的总和。在这种情况下,传统的波函数重整化因子是不明确的。我们提出了一个简单的解决方案的阈值奇异性问题,仍然允许使用窄宽度近似定义分支比的谱密度。对于不同的衰变通道,共振峰和形状是不同的,并且不能将单一的衰变宽度分配给不稳定粒子。非指数衰减发生在所有时间尺度上。

英文摘要:

We explore physics of unstable particles when mother particle mass is around the sum of its daughter particle masses. In this case, the conventional wave function renormalization factor is ill-defined. We propose a simple resolution of the threshold singularity problem which still allows the use of narrow width approximation by defining branching ratio in terms of spectral density. The resonance peak and shape is different for different decay channels and no single decay width can be assigned to the unstable particles. Non-exponential decay happens in all time scales.

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