Hadrons of Arbitrary Spin and Heavy Quark Symmetry

Details Hadrons of Arbitrary Spin and Heavy Quark Symmetry Hadrons of Arbitrary Spin and Heavy Quark Symmetry

1993-11-18

arxiv.org/abs/hep-ph/9311309v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTex, 69 pages, IC/93/314 and MZ-TH/93-23. One of the Heavy $\Lambda_{Q}$ to first positive parity excited $\Lambda_{Q^{\prim

Scientific paper

We present a general construction of the spin content of the Bethe-Salpeter amplitudes (covariant wave functions) for heavy hadrons with arbitrary orbital excitations, using representations of the Lorentz group. These wave functions incorporate the symmetries manifest in the heavy quark limit. In the baryonic sector we clearly differentiate between the $\Lambda$ and $\Sigma$ type excited baryons. We then use the trace formalism to evaluate the weak transitions of ground state heavy hadrons to arbitrary excited heavy hadrons. The contributions of excited states to the Bjorken sum rule are also worked out in detail.

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