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A scaling phenomenon in the cross section for fragments has been found in theprojectile fragmentation reaction, and an empirical scaling formula is proposedby considering the dependence of cross section on the size and asymmetry of thereaction system and the fragment itself. Furthermore, the empirical scalingformula is used to predict the production of fragment in the$^{68}$Ni/$^{69}$Cu/$^{72}$Zn + $^9$Be reactions around 90$A$ MeV. Compared tothe results calculated by the statistical abrasion ablation model and the {\scepax3} parameterizations, the empirical scaling formula can better reproducethe measured fragments. The empirical scaling formula can be used to predictthe yield for fragment in projectile fragmentation reaction.

An Empirical Scaling formula for fragments production in projectile fragmentation reactions