Photon-induced production of the exotic charged charmonium-like state $Z_c(3900)$ off nuclear targets and its internal structure

Abstract

In this paper, we investigate the possibility to study the famous charged charmonium-like state $Z_c(3900)$ production off nuclear targets and its properties in inclusive photon-induced reactions near the kinematic threshold within the collision model based on the nuclear spectral function. The model accounts for its charged components $Z_c(3900{)}^{\pm }$ production in direct photon-nucleon interactions as well as three different popular scenarios for their internal structures: compact tetraquarks, molecules of the two open-charm mesons and mixtures of both of them. We calculate the absolute and relative excitation functions for production of $Z_c(3900{)}^{\pm }$ mesons on ${}^{12}$C and ${}^{184}$W target nuclei at initial photon energies of 9.0-17.5 GeV, the absolute momentum differential cross sections and their ratios for the $Z_c(3900{)}^{\pm }$ production off these target nuclei at laboratory polar angles of 0${}^{\circ }$-10${}^{\circ }$ and at photon energy of 14 GeV as well as the A-dependences of the ratios of the total cross sections for $Z_c(3900{)}^{\pm }$ production at photon energy of 14 GeV within the adopted scenarios for the $Z_c(3900{)}^{\pm }$ internal structures. We demonstrate that the absolute and relative observables considered show a certain sensitivity to the $Z_c(3900{)}^{\pm }$ internal structures which are by far the best known. Hence, they might be useful for the determination of these structures -- the issue which has attracted much attention in the hadron physics community -- from the comparison of them with the experimental data from the future high-precision experiments at the CEBAF facility.

24 pages, 10 figures, some corrections of the text were made

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