Abstract
Weak semileptonic decays of the \(J/\psi\) into charmed mesons are studied within the framework of the relativistic quark model based on the quasipotential approach and quantum chromodynamics. The form factors which parameterize the matrix elements of the weak current between meson states are calculated with the consistent account of the relativistic effects. Their dependence on the square of the transferred momentum is explicitly defined throughout the accessible kinematic range. On the basis of these form factors and helicity formalism, differential and total semileptonic decay rates of the \(J/\psi\) mesons as well as different asymmetries and polarization parameters are calculated. The detailed comparison of the obtained results with other theoretical calculations and experimental upper bounds is given.