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arXiv · hep-ph/9710241

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

M. Avila
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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 $ξ^\prime(1)=-0.93\pm 0.05.$ This means that the solutions are perfectly consistent. If relativistic corrections in the light quark wave functions are included the result is $ξ^\prime(1)=-1.01\pm 0.04.$ 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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M. Avila. 1998-01-28. Solutions of a Dirac hydrogenlike mesons and scalar confinement in low orbital angular momentum states. https://arxiv.org/abs/hep-ph/9710241

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