Conservation Laws and Sum Rules in the Heavy Quark Limit

Abstract

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.

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

References in corpus (4)

• Heavy Quark Symmetry
• The Baryon Isgur-Wise Function in the Large $N_c$ Limit
• New Universality of Baryon Isgur--Wise Form Factor in the Large $N_c$ limit
• Excited ${\Lambda }_Q$ Baryons in the Large $N_c$ Limit

Cited by in corpus (5)

• Spectator Effects in the Heavy Quark Effective Theory
• Semileptonic Lambda_b decay to excited Lambda_c baryons at order Lambda_{QCD}/m_Q
• Quantum mechanical sum rules for two model systems
• Large $N_c$ Universality of The Baryon Isgur--Wise Form Factor: The Group Theoretical Approach
• More Conservation Laws and Sum Rules in the Heavy Quark Limit