A Relativistic Model for the Charmonium Spectrum with a Reduced Number of Free Parameters

Relativistic variables for covariant, retardless wave equations

“…In particular, we obtained very similar results as those published in Ref. [3] by using the following operators. In the "Model A", we used…”

“…The sign of the internal three-momentum p c is defined as in Refs. [1,3]. Note that the total four-momentum eigenvalue in the CMRF is…”

“…Furthermore, the dependence of the interaction on q c , corresponds to local form of the interaction in the coordinate space. This form was used in our previous works [1,3].…”

“…Other forms for the operators O i and Ω i can be studied. As in work [3] we have analyzed numerically some specific expressions for the charmonium spectrum. In particular, we obtained very similar results as those published in Ref.…”

“…In a previous work [1], we developed a local reduction of many-body relativistic equations (more precisely, the Dirac-like equation (DLE) and the Mandelzweig-Wallace equation (MW) [2]) for studying the spectroscopy of quark composed systems. An accurate calculation of the Charmonium spectrum was performed using a small number of free parameters [3]. In that work a specific form of the regularized vector interaction was used [4].…”