The transverse momentum spectra (pT-distribution) of the relativistic α-aparticles in the projectile fragmentation resulting from the interaction of 12C, 16O, 28Si (4.5 A GeV/c), and 22Ne (4.1 A GeV/c) projectiles with emulsion have been analyzed and modeled. The behavior of PT-adistribution of the emitted α-fragments was found to be independent of the types of projectile and also of the energy of the projectile. All of the pT-distributions have a tail, at large transverse momentum. Single Maxwell-Boltzmann model (M-B) is not sufficient to describe this behavior, but a superimposition of two Maxwell-Boltzmann (M-B) models with different transverse momentum spectra PTMean, and with different temperatures is adequate. The linear fitting method has a drawback that the total model resulting from superimposition of two M-B models is shifted toward larger transverse momentum regions and doesn't completely fit with the total PT-distribution of α-fragments.
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