Conservation Laws and Sum Rules in the Heavy Quark Limit

Details Conservation Laws and Sum Rules in the Heavy Quark Limit Conservation Laws and Sum Rules in the Heavy Quark Limit

1994-10-22

arxiv.org/abs/hep-ph/9410349v1

Phys.Rev. D51 (1995) 3587-3592

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages. Two figures available upon request. CALT-68-1958

Scientific paper

10.1103/PhysRevD.51.3587

In the heavy quark limit, hadrons appear as eigenstates of the light degrees of freedom under the static color field of the heavy quark. In this formalism, the weak form factors appear naturally as the overlaps of the initial and final wavefunctions of the light degrees of freedom, and the Bjorken and Voloshin sum rules are statements of conservation of probability and energy. Moreover, parity conservation can lead to a sum rule which relates weak form factors at different kinematic points. {}From this sum rule, model independent lower bounds on Isgur--Wise form factors can be obtained analytically.

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