Spin-3/2 pentaquark resonance signature

Abstract

We search for the standard lattice resonance signature of attraction between the resonance constituents which leads to a bound state at quark masses near the physical regime. We study a variety of spin- 1/2 interpolators and for the first time, interpolators providing access to spin- 3/2 pentaquark states. In looking for evidence of binding, a precise determination of the mass splitting between the pentaquark state and its lowest-lying decay channel is performed by constructing the effective mass splitting from the various two-point correlation functions. While the binding of the pentaquark state is not a requirement, the observation of such binding would provide compelling evidence for the existence of the Θ⁺ pentaquark resonance. Evidence of binding is observed in the isoscalar spin- 3/2 positive parity channel, making it an interesting state for further research.