Initial- and Final-State Temperatures of Emission Source from Differential Cross-Section in Squared Momentum Transfer in High-Energy Collisions

The differential cross-section in squared momentum transfer of $\rho$, $\rho^0$, $\omega$, $\phi$, $f_{0}(980)$, $f_{1}(1285)$, $f_{0}(1370)$, $f_{1}(1420)$, $f_{0}(1500)$, and $J/\psi$ produced high energy virtual photon-proton ($\gamma$$^{*} p$), ($\gamma proton-proton ($pp$) collisions measured by the H1, ZEUS, WA102 Collaborations are analyzed Monte Carlo calculations. In calculations, Erlang distribution, Tsallis Hagedorn function separately used to describe transverse spectra emitted particles. Our results show that initial- final-state temperatures increase from lower photon virtuality higher one, decrease with increasing center-of-mass energy.