指数衰减定律的长时间偏离：粒子物理学和宇宙学中的可能效应
Long time deviations from the exponential decay law: possible effects in particle physics and cosmology
摘要：
考虑了长时间区域内不稳定状态的生存振幅的非指数行为所产生的效应。我们发现，不稳定状态的一个大类的模型的瞬时能量趋于系统${\cal E}_{min}$的最小能量为$t\rightarrow\infty$这是远远小于这个状态的能量为$t$的考虑状态的寿命的顺序。分析指数和非指数形式的生存振幅之间的过渡时间区域，我们发现，所考虑的不稳定状态的瞬时能量可以采取大的值，远远大于该状态的能量$t$从指数时间区域。考虑到所考虑的模型得到的结果，它是假设，这种纯粹的量子力学效应可能是负责广泛的共振，如$σ$介子的属性，以及具有天体物理学和宇宙学的后果。
英文摘要：
An effect generated by the nonexponential behavior of the survival amplitude of an unstable state in the long time region is considered. We find that the instantaneous energy of the unstable state for a large class of models of unstable states tends to the minimal energy of the system ${\cal E}_{min}$ as $t\rightarrow\infty$ which is much smaller than the energy of this state for $t$ of the order of the lifetime of the considered state. Analyzing the transition time region between exponential and non-exponential form of the survival amplitude we find that the instantaneous energy of the considered unstable state can take large values, much larger than the energy of this state for $t$ from the exponential time region. Taking into account results obtained for a model considered, it is hypothesized that this purely quantum mechanical effect may be responsible for the properties of broad resonances such as $σ$ meson as well as having astrophysical and cosmological consequences.
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