Constructing Spin Density Matrix Elements in 𝛄 p →ρ-Δ++ for the GlueX Experiment

The GlueX experiment, located at the Thomas Jefferson National Accelerator Facility (JLab) in Newport News, Virginia, aims to map out the spectrum of hybrid mesons in the light quark sector. Experimental results from the collision of a linear polarized photon beam on an unpolarized proton target were measured and used to determine the spin-density matrix elements (SDMEs) through the decays of 𝛄 p →ρ-Δ++. SDMEs provide a complete description of the ρ- production and decay, and  provide insight into how hybrid mesons can be produced. Subsequently, the comparison between SDMEs of ρ- and the description of  ρ production will be beneficial for further research with the mesons. Here, we will report the first-ever extraction of the SDMEs for ρ- decay. We hope that the reported SDMEs can lead to a better understanding of the decay of ρ- and contribute to the broader understanding of the meson.