Production of strangeonium $$\phi (1680)$$ ϕ ( 1680 ) state in electromagnetic probe-driven scatterings and hadron–hadron ultraperipheral collisions

Abstract

Abstract In this work, the $$\gamma p\rightarrow \phi (1680) p$$ γ p → ϕ ( 1680 ) p reaction is systematically studied based on the two gluon exchange model and the pomeron model. The calculation results show that the total cross section of $$\phi (1680)$$ ϕ ( 1680 ) photoproduction can reach more than 80 nb near the center-of-mass energy $$W=4$$ W = 4 GeV, so it is suggested that JLab and other experiments carry out relevant measurements. Moreover, under the framework of the vector meson dominance assumption, the scattering length of $$\phi (1680)$$ ϕ ( 1680 ) and proton interaction is estimated as $$0.07\pm 0.01$$ 0.07 ± 0.01 fm from the cross sections predicted by the theoretical models, which is on the same order of magnitude as the $$\phi (1020)$$ ϕ ( 1020 ) -p scattering length. In addition, the total cross section, number of events and rapidity distribution of $$\phi (1680)$$ ϕ ( 1680 ) production are predicted at Electron-Ion colliders (EICs) and ultra-peripheral collisions (UPCs) by using eSTARlight and STARlight code. The study of $$\phi (1680)$$ ϕ ( 1680 ) and relevant properties is of enlightening significance in better understanding the strangeonium family spectrum, and provides necessary data support for the future experiment of EICs and UPCs.