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

S. R. Beane

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arXiv · hep-ph/9512228

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

S. R. Beane

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Abstract

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 $P^*\rightarrow Pπ$, 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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S. R. Beane. 1995-12-04. Algebraic Content of Chiral Symmetry and the Strong Transitions of Heavy Mesons. https://arxiv.org/abs/hep-ph/9512228

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