Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-07-19
Phys.Lett. B365 (1996) 319-326
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages
Scientific paper
10.1016/0370-2693(95)01285-0
We show that quark models of current matrix-elements based on the Bakamjian-Thomas construction of relativistic states with a fixed number of particles, plus the additivity assumption, are covariant in the heavy-quark limit and satisfy the full set of heavy-quark symmetry relations discovered by Isgur and Wise. We find the lower bound of $\rho^2$ in such models to be $3/4$ for ground state mesons, independently of any parameter. Another welcome property of these models is that in the infinite momentum limit the wave functions vanish outside the domain $0\le x \le 1$.
Oliver L. L.
Pene Olivier
Raynal Jean-Claude
Yaouanc Alain Le
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