Analysis of the Running Coupling Constant αs(q2) of π– Mesons and Protons from π– + C Interactions at 40 GeV/c and p + p Interactions at 205 GeV/c

This paper presents an analysis of the running coupling constant $${{\\alpha }_{s}}({{q}^{2}})$$ using data from $${{\\pi }^{ - }} + C$$ interactions at $$40\\,\\,{\\text{GeV/}}{\\kern 1pt} c$$ and $$p + p$$ interactions at $$205\\,\\,{\\text{GeV}}{\\kern 1pt} /{\\kern 1pt} c$$ . It is known that choosing the correct value for the $${{\\Lambda }_{{{\\text{QCD}}}}}$$ cut parameter is very important for calculating the right values of the strong coupling constant $${{\\alpha }_{s}}({{q}^{2}})$$ . In our study, we used the value $${{\\Lambda }_{{{\\text{QCD}}}}} = 0.197\\,{\\text{GeV}}$$ , which was obtained in our previous work [3, 4]. Finally, the results for $${{\\alpha }_{s}}({{q}^{2}})$$ are compared with theoretical QCD predictions.