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The Isgur-Wise function in the BPS limit

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arxiv hep-ph/0611031 v1 pith:6ZPVKMGA submitted 2006-11-02 hep-ph

classification hep-ph
keywords functionlimitisgur-wiseamplitudeattainsboundcompletelydemonstrate
verification ladder T0 review T1 audit T2 compute T3 formal
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From sum rules in the heavy quark limit of QCD, using the non-forward amplitude, we demonstrate that if the slope rho^2 = -xsi'(1) of the Isgur-Wise function xsi(w) attains its lower bound 3/4 (as happens in the BPS limit proposed by Uraltsev), the IW function is completely determined, given by the function xsi(w) = [2/(w+1)]^(3/2).

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