Gluon saturation scale from the KGBJS equation

Understand

The CCFM equation and its extended form with a quadratic term (KGBJS equation) are solved with fixed and running coupling constant.

• The solution of the KGBJS equation is compared to gluon densities resulting from the CCFM and BK equations.
• As the saturation scale $Q_s$ now becomes available as a function of the hard scale $p$ we observe that low values of $p$ impede its growth with $\frac 1 x$.
• Also, at values much larger than partons transversal momentum the saturation effects become independent on the hard scale what we call liberation of saturation scale.