Explicit form of the Isgur-Wise function in the BPS limit

Abstract

Using previously formulated sum rules in the heavy quark limit of QCD, we demonstrate that if the slope rho^2 = -xi'(1) of the Isgur-Wise function xi(w) attains its lower bound 3/4, then all the derivatives (-1)^L xi^(L)(1) attain their lower bounds (2L+1)!!/2^(2L), obtained by Le Yaouanc et al. This implies that the IW function is completely determined, given by the function xi(w) = [2/(w+1)]^(3/2). Since the so-called BPS condition proposed by Uraltsev implies rho^2 = 3/4, it implies also that the IW function is given by the preceding expression.

19 pages

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Cited by in corpus (5)

• Bound on the curvature of the Isgur-Wise function of the baryon semileptonic decay Lambda_b -> Lambda_c + l + nu
• Non-factorizable contribtion to $\overline{B_d^0}\to {\pi }^0{D}^0$
• The Isgur-Wise Function within a Modified Heavy-Light Chiral Quark Model
• Isgur-Wise functions and unitary representations of the Lorentz group : the meson case j = 1/2
• Isgur-Wise functions, Bjorken-Uraltsev Sum Rules and their Lorentz group interpretation, In Memoriam Nikolai Uraltsev