<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Z</mml:mi></mml:math>scaling in hadron-hadron collisions at high energies

Abstract

New scaling, $z$ scaling, in the inclusive particle production (charged hadrons, ${\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}$, ${K}^{\ifmmode\pm\else\textpm\fi{}}$, $\ensuremath{\gamma}$) in $\mathrm{pp}$ or $\overline{p}p$ collisions is predicted. The scaling function $H(z)$ is expressed via the inclusive cross section of particle production $\frac{E{d}^{3}\ensuremath{\sigma}}{d{q}^{3}}$ and the particle multiplicity density $\frac{\mathrm{dN}}{d\ensuremath{\eta}}$ at pseudorapidity $\ensuremath{\eta}=0$. The dependence of $H(z)$ on the scaling variable $z=\frac{\sqrt{{s}_{x}}}{[\ensuremath{\Delta}M\ifmmode\cdot\else\textperiodcentered\fi{}\frac{\mathrm{dN}(0)}{d\ensuremath{\eta}}]}$, the center-of-mass energy $\sqrt{s}$, and the detection angle $\ensuremath{\theta}$ is investigated. The symmetry properties of the scaling function $H(z)$ are found. It is shown that for the secondary particle momenta $q&gt;0.4$ GeV/c, $H(z)$ is independent of $\sqrt{s}$ and $\ensuremath{\theta}$ in a wide kinematic range of particle production. The available experimental data confirm the universality of the $H(z)$ function. Some predictions for $H(z)$ concerning ${\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}$, ${K}^{\ifmmode\pm\else\textpm\fi{}}$, and $\ensuremath{\gamma}$ using the HIJING Monte Carlo code have been made. The obtained results can be of interest for future experiments at BNL RHIC and CERN LHC.