The ${\psi }^{(\ast )}p$ scattering length based on near-threshold charmoniums photoproduction

Abstract

Under the framework of Vector Meson Dominance model, the value of scattering length can be expressed as a function of the ratio between total cross section $\sigma (W)$ and $R(W)$, where $R(W)$ is the ratio between final momentum $|{\mathbf{p}}_3|$ and initial momentum $|{\mathbf{p}}_1|$ and positively correlated with the center-of-mass energy. Based on the theoretical study of charmoniums photoproduction within two gluon exchange model and effective pomeron model, we research the scattering lengths of vector mesons and proton interaction in this work. Results show that the scattering length $\left|{\alpha }_{J/\psi p}\right|$ obtained from the two models are close and basically in agreement with the theoretical prediction of Strakovsky and co-workers. Additionally, we first calculate the scattering length of $\psi (2S)$-proton interaction in two gluon exchange model and effective pomeron model as $1.31\pm 0.92$ am (1 am = $10^{-3}$ fm) and $3.24\pm 0.63$ am, respectively. This is a little bit different from the two models and requires precise measurements from subsequent experiments. In short, our results will provide a theoretical reference for future studies on characterizing the vector meson-proton scattering length.

7 pages, 7 figures

References in corpus (12)

• Electron-Ion Collider in China
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Cited by in corpus (9)

• First extraction of the proton mass radius and scattering length $\left|{\alpha }_{{\rho }^{0}p}\right|$ from ${\rho }^0$ photoproduction
• Gravitational form factors of the proton from near-threshold vector meson photoproduction
• Extraction of $\omega$n, $\omega$p and $\varphi$N scattering lengths from $\omega$ and $\varphi$ differential photoproduction cross sections on the deuterium target
• Measurement of exclusive $J/\psi$ and $\psi (2S)$ production at $\sqrt{s}=13$ TeV
• Vector meson-nucleon scattering length $|{\alpha }_{VN}|$ and trace anomalous energy contribution to the nucleon mass $T_A$
• Analysis of the interaction between $\varphi$ meson and nucleus
• Systematic investigation of trace anomaly contribution in nucleon mass
• Analysis of $J/\psi$ and $\psi (2S)$ Charmonium Production in Ultraperipheral Lead-Lead and Proton-Lead Collisions at LHC Energies
• First Extraction of the $\varphi$-${}^4\mathrm{He}$ scattering length from near-threshold $\varphi$ photoproduction on helium-4