Four–body systems near the p–wave unitary regime

N–body interacting bosons and fermions with s–wave interactions at the unitary regime have been extensively studied for many years. Two main classes of systems near the s–wave unitary regime are the BEC-BCS crossover problem, and the three–body Efimov effect and how this effect presents universal behavior in N–boson systems. In this work, four fermion systems with p–wave interactions tuned to different scattering volumes (V_p) are studied using the adiabatic hyperspherical framework with an explicitly correlated Gaussian basis to represent natural and unnatural parity states. Two–body interactions are treated, specifically Gaussian–type interactions as well as soft–core Van der Waals interactions to provide insights for realistic systems relevant to experiment. When the interactions are tuned to the p–wave unitary regime (V_p → ∞), there exists a universal trimer for the L^π = 1^- and 1⁺ symmetries, where the 1⁺ trimer is more deeply bound. Attached to these trimer states, exist tetramer states whose potential universal character is under investigation. Four body reaction rates are also computed in this regime for various symmetries that support two–body fragmentation channels in addition to the continuum.