Abstract
In the semi-classical description of the flux-tube fragmentation
process for hadron production and hadronization in high-energy
$e^+e^-$ annihilations and $pp$ collisions, the rapidity-space-time
ordering and the local conservation laws of charge, flavor, and
momentum provide a set of powerful tools that may allow the
reconstruction of the space-time dynamics of quarks and mesons in
exclusive measurements of produced hadrons, on an event-by-event
basis. We propose procedures to reconstruct the space-time dynamics
from event-by-event exclusive hadron data to exhibit explicitly the
ordered chain of hadrons produced in a flux tube fragmentation. As a
supplementary tool, we infer the average space-time coordinates of the
$q$-$\bar q$ pair production vertices from the $\pi^-$ rapidity
distribution data obtained by the NA61/SHINE Collaboration in $pp$
collisions at $\sqrt{s}$ = 6.3 to 17.3 GeV.
