Study on Hadron Phase via Hyperon Resonance and Light Nuclei Produced in Elementary and Heavy Ion Collision

The properties of the Quark-Gluon Plasma and its evolution, even its existence itself, always have been one of the most curious puzzles in nature. A hadronic phase, which is the part of the evolution of the matter, also has been studied to find its properties, such as size, lifetime, condition, and so on. This thesis will investigate one of its properties, the size of the phase generated in proton-proton collisions and Pb-Pb collisions by using the measurement of hadronic resonance and light nuclei. The production of hyperon resonances, $\Sigma(1385)^{\pm}$ and $\Xi(1530)^{0}$, in proton-proton collisions at $\sqrt{s}$=13 TeV, and light nuclei, deuteron and $^3$He, in Pb-Pb collisions at $\sqrt{s_{NN}}$=5.02 TeV was measured using the ALICE detector at the LHC. The transverse momentum $p_{\rm{T}}$ differential yields $\rm{d}^2 \it{N}/\rm{d}\it{y}\rm{d}\it{p}_{\rm{T}}$ have been measured at midrapidity, $|y|$<0.5. The following findings such as integrated yield $\rm{d}\it{N}/\rm{d}\it{y}$ and average transverse momentum $< \it{p}_{\rm{T}} >$ are obtained based on the $\it{p}_{\rm{T}}$ differential yields. Finally, the invariant yield ratio between the measured particles and the others will be discussed with phenological models.