On the $\rho^o$-meson production in the inclusive proton-proton collision

TL;DR

This paper models $ ho^o$-meson production in proton-proton collisions at small $Q^2$ and low transverse momentum, achieving good agreement with experimental data through an isotropic meson distribution and exploring quark mass effects.

Contribution

It extends the parton model with generalized vector meson dominance to describe $ ho^o$-meson production at low transverse momentum and small $Q^2$ in proton-proton collisions.

Findings

Realistic cross sections match experimental data for energies 4.9 to 65 GeV.

Isotropic $ ho^o$-meson distribution fits the data well.

Different quark mass and coupling constant sets can produce similar cross sections.

Abstract

The production of the $\rho^o$- meson in the inclusive proton-proton scattering $p_A+p_B\to \rho^o+X$ is studied using extension of parton model according to generalized vector meson dominance model (GVMD) in region of small $Q^2=m_{\rho^o}^2$ and $\rho^o$-meson transverse momentum $\le 1-2GeV/c$. The realistic description of the experimental cross sections of $p_A+p_B\to \rho^o+X$ for $4.9\le \sqrt{s}\le 65 GeV$ is achieved using an isotropic distribution of the $\rho^o$-meson. The resulting density matrix allows one to select values of the quark masses, which lead to the isotropic distribution of the emitted meson. It is demonstrated that the same cross sections of the reaction $p_A+p_B\to\rho^o +X$ for the isotropic distribution of the $\rho^o$-meson can be obtained with different sets of the quark masses and corresponding coupling constants of the quark-meson vertex functions.