时间尺度Δ t在玻色-爱因斯坦关联中的作用
On the role of the time scale Delta t in Bose-Einstein correlations
摘要：
本文重新研究了用海森堡测不准关系处理的玻色-爱因斯坦关联（BEC）中的时标$Δt$参数。论证了$Δt$作为粒子发射时间的量度而不是代表关联粒子的强度性质的作用。因此，在$Z^0$强子分析中，$Δt$给定值~ $10^{-24}$秒是由$Z^0$寿命规定的粒子发射时间。在重离子碰撞中，$Δt$测量从原子序数为$A$的原子核产生的粒子的发射持续时间，在此示出$A$等于$Δt =(m_πa^2)/(\hbar c^2})*A^{2/3}$，其中a约为1 fm，即与原子核表面积成比例。这种依赖关系与由重离子碰撞的BEC分析导出的实验$Δt$值相当一致。
英文摘要：
The time scale $Δt$ parameter, which appears in the Bose-Einstein Correlations (BEC) treated in term of the Heisenberg uncertainty relations, is reexamined. Arguments are given for the role of $Δt$ as a measure of the particles' emission time rather than representing the strength property of the correlated particles. Thus in the analyzes of the $Z^0$ hadronic the $Δt$ given value of ~$10^{-24}$ seconds is the particles' emission time prescribed by the $Z^0$ lifetime. In heavy ion collisions $Δt$ measures the emission time duration of the particles produced from a nucleus of atomic number $A$ which is here shown to be equal to $Δt =(m_πa^2)/(\hbar c^2})*A^{2/3}$ where a is about 1 fm, that is, proportional to the nucleus surface area. This dependence agrees rather well with the experimental $Δt$ values deduced from the BEC analyzes of heavy ion collisions.
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