Ratio between two $\Lambda$ and $\bar{\Lambda}$ production mechanisms in $p$ scattering

TL;DR

This paper identifies a universal function describing the ratio of two $\Lambda$ and $ar{\Lambda}$ production mechanisms in proton scattering, valid across diverse experiments and a wide range of ratios.

Contribution

It introduces a simple universal formula for the ratio of $\Lambda$ and $ar{\Lambda}$ production mechanisms based on rapidity difference, applicable over four orders of magnitude.

Findings

The ratio follows a universal function of rapidity difference.

The formula parameters are precisely determined with small uncertainties.

The model applies across a broad range of experimental conditions.

Abstract

We consider $\Lambda$ and $\bar{\Lambda}$ production in a wide range of proton scattering experiments. The produced $\Lambda$ and $\bar{\Lambda}$ may or may not contain a diquark remnant of the beam proton. The ratio of these two production mechanisms is found to be a simple universal function $r = [ \kappa/(y_p - y) ]^i$ of the rapidity difference $y_p - y$ of the beam proton and the produced $\Lambda$ or $\bar{\Lambda}$, valid over four orders of magnitude, from $r \approx 0.01$ to $r \approx 100$, with $\kappa = 2.86 \pm 0.03 \pm 0.07$, and $i = 4.39 \pm 0.06 \pm 0.15$.