Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-06-11
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 pages, 5 figures, LaTex
Scientific paper
The evolution of polarized quark distribution functions is taken into account the gluon emission and absorption, quark pair production and annihilation processes and treated by a statistical method which provides quark distribution functions at small $Q^2$. The evolution function of quark distributions is derived and solved by numerical methods. Then the $Q^2$ dependent and $\alpha_{s}$ dependent structure functions $F_{2}(x, Q^{2})$ are obtained and the example of it, the proton structure function, is calculated, whose increase and decrease tendency with $\alpha_{s}$ at different $x$ is consistent with experiments. This is also an evidence that the statistical methods for the nucleon is reasonable.
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