Formation time effect on J/psi dynamical nuclear suppression

The proposed hadronic and string cascade model, JPCIAE, for ultrarelativistic nucleus - nucleus collisions based on the LUND model and the PYTHIA event generator especially, is used to investigate the $J/\psi$ suppression due to the nuclear absorption of a $J/\psi$ in minimum bias pA and BA collisions at 200 A GeV energy. With the different sets of reasonable formation time for hadron and $J/\psi$ the results of $J/\psi$ suppression factor from both the usual scenario and the Glauber - like simulations are comparable with all the NA38 pA and BA data, except the NA50 data of Pb + Pb collisions. However, the difference between the usual scenario and the Glauber - like simulation, hence the difference between the dynamical simulation and Glauber theory, can not be ignored. The sensitive effect of the hadron formation time on the $J/\psi$ suppression is studied in detail. The results seem to denote that for the $J/\psi$ suppression the meson absorption plays role in pA as well as in BA collisions.