# Universal scaling of strange particle $p_{\rm T}$ spectra in pp collisions

## TL;DR

This study reveals a universal scaling behavior in the transverse momentum spectra of strange particles in proton-proton collisions at different energies, explained by the colour string percolation model.

## Contribution

It demonstrates a universal scaling law for strange particle spectra across multiple energies and links it to cluster formation in the colour string percolation framework.

## Key findings

- Scaling parameter K increases with energy for all strange particles.
- Strange mesons and baryons originate from clusters with different size distributions.
- The colour string percolation model quantitatively explains the observed scaling.

## Abstract

As a complementary study to that performed on the transverse momentum ($p_{\rm T}$) spectra of charged pions, kaons and protons in proton-proton (pp) collisions at LHC energies 0.9, 2.76 and 7 TeV, we present a scaling behaviour in the $p_{\rm T}$ spectra of strange particles ($K_{S}^{0}$, $\rm \Lambda$, $\rm \Xi$ and $\phi$) at these three energies. This scaling behaviour is exhibited when the spectra are expressed in a suitable scaling variable $z=p_{\rm T}/K$, where the scaling parameter $K$ is determined by the quality factor method and increases with the center of mass energy ($\sqrt{s}$). The rates at which $K$ increases with $\mathrm{ln}\sqrt{s}$ for these strange particles are found to be identical within errors. In the framework of the colour string percolation model, we argue that these strange particles are produced through the decay of clusters that are formed by the colour strings overlapping. We observe that the strange mesons and baryons are produced from clusters with different size distributions, while the strange mesons (baryons) $K_{S}^{0}$ and $\phi$ ($\rm \Lambda$ and $\rm \Xi$) originate from clusters with the same size distributions. The cluster's size distributions for strange mesons are more dispersed than those for strange baryons. The scaling behaviour of the $p_{\rm T}$ spectra for these strange particles can be explained by the colour string percolation model in a quantitative way.