Properties of Z(c)(3900) tetraquark in a cold nuclear matter
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The study of medium effects on properties of particles embedded in nuclear matter is of great importance for understanding the nature and internal quark-gluon organization as well as exact determination of the quantum numbers, especially of the exotic states. In this context, we study the physical properties of one of the famous charmoniumlike states, Z(c)(3900), in a cold dense matter. We investigate the possible shifts in the mass and current-meson coupling of the Z(c)(3900) state due to the dense medium at saturation density rho(sat) by means of the in-medium sum rules. We also estimate the vector self-energy of this state at saturation nuclear matter density. We discuss the behavior of the spectroscopic parameters of this state with respect to the density up to a high density corresponding to the core of neutron stars, rho approximate to 5 rho(sat). Both the mass and current coupling of this state show nonlinear behavior and decrease with respect to the density of the medium: the mass reaches roughly 30% of its vacuum value at rho = 5 rho(sat), while the current coupling approaches zero at rho approximate to 2.1 rho(sat), when the central values of the auxiliary and other input parameters are used.