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

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

1996-03-12

arxiv.org/abs/hep-ph/9603287v1

Phys.Lett. B386 (1996) 304-314

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages

Scientific paper

10.1016/0370-2693(96)00971-9

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.

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