pi(+/-), K-+/-, p and (p)over-bar production in Z(0)-> q(q)over-bar, Z(0)-> b(b)over-bar, Z(0)-> u(u)over-bar,d(d)over-bar,s(s)over-bar

The DELPHI experiment at LEP uses Ring Imaging Cherenkov detectors for particle identification. The good understanding of the RICH detectors allows the identification of charged pions, kaons and protons, covering the full momentum range from 0.7 < p < 45.6 GeV/c. The pi(+/-), K+/-, p and (p) over bar normalised production rates, their differential cross sections, multiplicities and the maxima xi(p)* of the xi(p) = In(1/X-p) distributions are measured for three event samples Z(0) --> q (q) over bar, Z(0) --> b (b) over bar, Z(0) --> u (u) over bar, d (d) over bar, s (s) over bar, selected from similar to 1400000 Z(0) decays collected by DELPHI in 1994. The results are compared to the predictions of the JETSET string fragmentation model and the HERWIG cluster fragmentation model. The Modified Leading Logarithm Approximation with Local Parton-Hadron Duality is tested. The xi(p)* dependence on the primary quark flavour is investigated and quantified for the different particle distributions. The pi(+/-), K+/-, p and (p) over bar multiplicities are measured with precisions from +/-4% to +/-6%. For the Z(0) --> q (q) over bar, and Z(0) --> b (b) over bar, event samples, these improve on previous measurements. The pi(+/-), K+/-, p and (p) over bar multiplicities for Z(0) --> u (u) over bar, d (s) over bar, s (s) over bar are presented for the first time.