Constraining heavy-light Tetraquark Masses: A Regge Approach

In this work we investigate mass bounds of doubly strange-doubly charm tetraquark states (SSC̅C) within the framework of Regge phenomenology. Using a quasi-linear Regge-trajectory ansatz, we derive model-independent linear and quadratic mass inequalities that constrain the allowed mass ranges of SSC̅C ground states. Regge slope and intercept parameters are fixed by fitting well-established hadronic trajectories and by exploiting heavy-quark symmetry relations; these parameters are then employed to place upper and lower bounds on masses in the (J,M2) plane for orbital excitations. Where possible, we contrast the derived bounds with existing theoretical predictions. Finally, we discuss experimental consequences: which mass regions are most promising for searches, how our inequalities can assist in spin-parity assignment, and which observed structures (if any) could be compatible with an SSC̅C interpretation. The mass bounds presented here provide robust, phenomenological benchmarks to guide future experimental and theoretical studies of strange-charm multiquark spectroscopy.