Identified primary hadron spectra with the TOF detector of the ALICE experiment at LHC

In this thesis the analysis to reconstruct the transverse momentum p_{t} spectra for pions, kaons and protons identified with the TOF detector of the ALICE experiment in pp Minimum Bias collisions at $\sqrt{s}=7$ TeV was reported. After a detailed description of all the parameters which influence the TOF PID performance (time resolution, calibration, alignment, matching efficiency, time-zero of the event) the method used to identify the particles, the unfolding procedure, was discussed. With this method, thanks also to the excellent TOF performance, the pion and kaon spectra can be reconstructed in the 0.5<p_{t}<2.5 GeV/c range, while the protons can be measured in the interval 0.8<p_{t}<4.0 GeV/c. To prove the robustness of these results, a comparison with the spectra obtained with a $3\sigma$ cut PID procedure, was reported, showing an agreement within 5%. The estimation of the systematic uncertainties was described. The reported spectra provide very useful information to tune the Monte Carlo generators that, as was shown, are not able to describe $\pi$, $K$ and $p$ production over the full momentum range. The same limitation for the theoretical models in describing the data was observed when comparing with the Monte Carlo predictions the $K/\pi$ and $p/\pi$ ratios, as obtained with the TOF analysis. Finally, the comparison between the TOF results and the spectra obtained with analyses that use other ALICE PID detectors and techniques to extend the identified spectra to a wider $p_{t}$ range was reported, showing an agreement within 6\%.