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New Exact Heavy Quark Sum Rules
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Considering nonforward scattering amplitude off the heavy quark in the Small Velocity limit two exact superconvergent sum rules are derived. The first sum rule leads to the lower bound \rho^2 > 3/4 for the slope of the Isgur-Wise function. It also provides the rationale for the fact that the vector heavy flavor mesons are heavier than the pseudoscalar ones. A spin-nonsinglet analogue \bar\Sigma of \bar\Lambda = M_B-m_b is introduced.
Forward citations
Cited by 3 Pith papers
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Heavy mesons from the QCD instanton vacuum beyond the static limit
Computes f_B, residual mass Λ, kinetic matrix element λ1, and Isgur-Wise slope in instanton vacuum with finite-mass heavy-light vertex calibrated to B data.
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Study on the $P$-wave form factors contributing to $ B_s $ to $D_s$ inclusive semileptonic decays from lattice simulations
A first lattice extraction of P-wave Isgur-Wise form factors from four-point correlators indicates a large radial-excitation contribution to the Uraltsev sum rule at zero recoil.
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Isgur-Wise functions for $\boldsymbol{\Lambda_b \to \Lambda_c\left({1 \over 2}^\pm \right)}$ transitions in the Bakamjian-Thomas Relativistic Quark Model
The authors derive formal expressions for the elastic and inelastic Isgur-Wise functions of Lambda_b to Lambda_c(1/2+ and 1/2-) transitions in the Bakamjian-Thomas three-body quark model.
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