Solutions of a Dirac hydrogenlike mesons and scalar confinement in low orbital angular momentum states
Abstract
Wavefunctions of a relativistic heavy quark-light quark (Q,q) system described by a Dirac hamiltonian are analyzed. By assuming that the confinement potential is a Lorentz scalar (S), the slope of the Isgur-Wise function is calculated at zero recoil point. The result obtained is (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 (1)=-1.01 0.04. From heavy-light data this suggest that if relativistic effects are considered, scalar confinement is reliable in low orbital angular momentum states.
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