Solutions of a Dirac hydrogenlike meson and scalar confinement in low orbital angular momentum states

Wavefunctions of a heavy-light quark (Q, q̄) system described by a covariant Dirac hamiltonian are analyzed. By assuming that the confinement potential is a Lorentz scalar (S), the slope of the IsgurWise function is calculated at zero recoil point. The result obtained is ξ(1) = −0.93 ± 0.05. This means that the solutions are perfectly consistent. If relativistic corrections in the light quark wave functions are included the result is ξ(1) = −1.01 ± 0.04. From heavy-light data this suggests that if relativistic effects are considered, scalar confinement is reliable in low orbital angular momentum states. PACS number(s) : 12.39.Ki; 12.39.Pn; 12.38.Aw ∗Electronic address: [email protected]