Comparative analysis of $\omega p$, $\varphi p$, and $J/\psi p$ scattering lengths from A2, CLAS, and GlueX threshold measurements

Abstract

The high accuracy $\varphi$-meson photoproduction data from the CLAS experiment in Hall~B of Jefferson Laboratory allow us to determine the near-threshold total cross section of the $\gamma p\to \varphi p$ reaction and use it for evaluating the $\varphi p$ scattering length ${\alpha }_{\varphi p}$. These data result in an absolute value of $|{\alpha }_{\varphi p}|=(0.063\pm 0.010)$~fm, which is smaller than the typical hadron size. A comparative analysis of ${\alpha }_{\varphi p}$ with the previously determined scattering lengths for $\omega p$ and $J/\psi p$ from the A2 and GlueX experiments is performed.

Comments: 5 pages, 2 figures, 1 figure added