Tetraquark Cusp Effects from Diquark Pair Production

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We present the first study of the cusp effect (the movement of resonant poles due to the proximity of multiparticle thresholds) caused by the creation of diquark-antidiquark pairs. The cusp profile for such states is obtained from constituent counting rules. We compare the effectiveness of diquark cusps in moving resonant poles with that from a phenomenological form commonly used for meson-pair creation, and find that mesons tend to be more effective at lower energies (e.g., the KK threshold), while diquarks tend to be more effective at the charm [X(3872)] scales and above.