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arXiv quant-ph/0311063quant-ph
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粒子的时间延迟、能量连续和系统学

Time-delay, energy-continuum, and systematics of particles

S. R. Jain, R. Ramanna, K. Ramachandra

摘要:

在所有强子的质量寿命数据中寻找系统性一直是一个突出的问题。在这项工作中,我们表明,产品的质量和寿命的不稳定粒子是非常好的近似\hbar 2 ^n/n,其中n是一个整数特定的粒子。在这样做时,我们采用了时间延迟和共振之间的关系。能量连续统已被处理的方式,以利用康托的数学工作的连续。因此,即使共振是由复杂的能量变量指定的,其中排序是不可能的,在稳定性方面,指数n标记这些共振; n越大,共振越稳定。

英文摘要:

Finding systematics in the mass-lifetime data for all the hadrons has been an outstanding problem. In this work, we show that the product of mass and lifetime for unstable particles is very well-approximated by \hbar 2^n/n where n is an integer specific for a particle. In doing so, we have employed a relation between time-delay and resonances. The energy-continuum has been treated in a way to take advantage of Cantor's mathematical work on continuum. Thus, even though the resonances are designated by complex energy variables where ordering is not possible, in terms of stability, the index n labels these resonances; larger the n, more stable a resonance is.

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