Exact Duality and Bjorken Sum Rule in Heavy Quark Models à la Bakamjian-Thomas

Abstract

The heavy mass limit of quark models based on the Bakamjian-Thomas cons\-truction reveals remarkable features. In addition to previously demonstrated properties of covariance and Isgur-Wise scaling, exact duality, leading to the Bjorken-Isgur-Wise sum rule, is proven, for the first time to our knowledge in relativistic quark models. Inelastic as well as elastic contributions to the sum rule are then discussed in terms of ground state averages of a few number of operators corresponding to the nonrelativistic dipole operator and various relativistic corrections.

14 pages

References in corpus (4)

• Quark Model Form Factors for Heavy Quark Effective Theory
• Covariant quark model of form factors in the heavy mass limit
• Charge form factors of pseudoscalar mesons
• Critical Analysis of Theoretical Estimates for $B$ to Light Meson Form Factors and the $B\to \psi K(K^{\ast })$ Data

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• Heavy-to-Light Form Factors in the Final Hadron Large Energy Limit: Covariant Quark Model Approach
• Isgur-Wise form factors of heavy baryons within a light-front constituent quark model
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• Slope of the Isgur-Wise function in the heavy mass limit of quark models à la Bakamjian-Thomas
• Isgur--Wise function in a relativistic model of constituent quarks
• Relation between Light Cone Distribution Amplitudes and Shape Function in B mesons
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• Finite mass corrections for B -> D(*), D** \ell νdecays in the Bakamjian-Thomas relativistic quark model
• Bounds on the derivatives of the Isgur-Wise function with a non-relativistic light quark
• Subleading form factors at order 1/m_Q in terms of leading quantities using the non-forward amplitude in HQET
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• Isgur-Wise functions and unitary representations of the Lorentz group : the meson case j = 1/2
• Unexpected pattern of transitions to radial excitations by heavy quark current
• In Memoriam Nikolai Uraltsev : Uraltsev's and other Sum Rules, Theory and Phenomenology of $D^{\ast \ast }$'s
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