Treating Z(c)(3900) and Z(4430) as the ground state and first radially excited tetraquarks

Abstract

Exploration of the resonances Z(c)(3900) and Z(4430) are performed by assuming that they are the ground state and first radial excitation of the same tetraquark with J(P) = 1(+). The mass and current coupling of the Zc(3900) and Z(4430) states are calculated using the QCD two-point sum rule method by taking into account vacuum condensates up to eight dimensions. We investigate the vertices Z(c)M(h)M(l) and ZM(h)M(l), with M-h and M-l being the heavy and light mesons and evaluate the strong couplings g(ZcMhMl) and g(ZMhMl) using the QCD sum rule on the light cone. The extracted couplings allow us to find the partial width of the decays Z(c)(3900)-> J/psi pi, psi'pi, eta(c)rho and Z(4430)-> psi'pi, J/psi pi, eta'(c)rho, eta(c)rho which may help in comprehensive investigation of these resonances. We compare the width of the decays of Z(c)(3900) and Z(4430) resonances with available experimental data as well as existing theoretical predictions.