Total reaction and partial cross section calculations in proton-nucleus (${\mathit{Z}}_{\mathit{t}}$≤26) and nucleus-nucleus reactions (${\mathit{Z}}_{\mathit{p}}$ and ${\mathit{Z}}_{\mathit{t}}$≤26)

We have developed semiempirical total reaction cross section formulas for proton-nucleus (with ${\mathit{Z}}_{\mathit{t}}$≤26) and nucleus-nucleus (with ${\mathit{Z}}_{\mathit{p}}$ and ${\mathit{Z}}_{\mathit{t}}$≤26) reactions. These formulas apply for incident energies above ≊15 MeV and ≊100 MeV/nucleon, respectively. We have also constructed a procedure for calculating the projectile-fragment production cross sections, by scaling semiempirical proton-nucleus partial cross section systematics. The scaling is done by a scaling parameter, which is based on a Bradt-Peters-type law and also takes advantage of the weak-factorization property of projectile fragments. All products from the Z of the projectile down to Z=2 can be calculated. The agreement between the calculated partial cross sections and the experimental data is better than all earlier published results.