In the process of hadronization what is the characteristic time? I was thinking about at the inverse of $\Lambda_{\rm QCD}$ but can also be a dependence from $\sqrt{s}$. Can anyone help me?
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Two quick refs are this and this.
In natural units, ${1\over \Lambda_{QCD}} \sim 0.7$ fm, so the natural time unit here is fm/c.
A typical hadronization time is 0.4 fm/c , all the way to 0.7 - 1.3 fm/c.
Recall $$ \hbox{fm/c} \sim 3 \cdot 10^{-24} s, $$ so, since the lifetime of the top quark is only ~ $5 \cdot 10^{-25}$s, it lacks the time to hadronize!
When you have lots of energy, s, in the rest frame of each hadronizing quark, the time is the same as above. If you wished to Lorentz dilate it, however, for whatever reason, it stretches…
answered Oct 27, 2021 at 22:09