Algebraic Content of Chiral Symmetry and the Strong Transitions of Heavy Mesons

Details Algebraic Content of Chiral Symmetry and the Strong Transitions of Heavy Mesons Algebraic Content of Chiral Symmetry and the Strong Transitions of Heavy Mesons

1995-12-04

arxiv.org/abs/hep-ph/9512228v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

34 pages

Scientific paper

The algebraic content of chiral symmetry constrains the strong interactions of mesons containing a single heavy quark. We show that the S-wave single-pion transition amplitudes of all heavy meson states are determined as a consequence of the participation of these states in reducible multiplets of unbroken $SU(2)_L\times SU(2)_R$. We find this representation content by making use of phenomenologically inspired Lie-algebraic sum rules, together with QCD constraints on the heavy meson spectrum in the heavy quark limit. For example, the transition amplitude for the process $P^*\rightarrow P\pi$, where $P$ is a $D$ or a $B$ meson, is predicted to vanish. We also consider the Kaon system in light of our general conclusions for $I=\oneh$ states.

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