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Constituent Counting Rules and Exotic Hadrons

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arxiv 1807.01650 v1 pith:Q3KCOUYU submitted 2018-07-04 hep-ph

Constituent Counting Rules and Exotic Hadrons

classification hep-ph
keywords scalingrulesamplitudesarisesbeenbehaviorconstituentcounting
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The constituent counting rules, i.e., the scaling behavior of amplitudes (in terms of the number of fundamental constituents) for exclusive processes when high energy scales are present, have been known for decades, and have been borne out in a number of experiments. Such scaling would be sensitive, in particular, to possible exotic multiquark content. Here we examine how one may use the rules to test for pentaquarks in electroproduction, or for tetraquarks in e^+ e^- annihilation. An interesting new type of scaling (separate Mandelstam s and t behavior) arises in the forward scattering direction. The correct scaling arises naturally in AdS/QCD, in which the amplitudes can be computed explicitly.

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