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Slope of the Isgur-Wise function in the heavy mass limit of quark models \`a la Bakamjian-Thomas

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arxiv hep-ph/9705324 v1 pith:WUPUV4N3 submitted 1997-05-15 hep-ph

classification hep-ph
keywords modelsbakamjian-thomasfunctionheavyisgur-wiselimitmassquark
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abstract

The slope of the Isgur-Wise function for ground state mesons is evaluated for the heavy mass limit of quark models \`a la Bakamjian-Thomas, which has been previously discussed by us in general terms. A full calculation in various spectroscopic models with relativistic kinetic energy gives a rather stable result $\rho^2 \approx 1$, much lower than previous estimates. Attention is paid to a careful comparison of this result with the ones of QCD fundamental methods (lattice QCD, QCD sum rules) and with experimental data.

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