Title:Tetraquark Cusp Effects from Diquark Pair Production

Abstract: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 $({\it e.g.}$, the $K\overline{K}$ threshold), while diquarks tend to be more effective at the charm [$X(3872)$] scales and above.