I am using lammps-7Dec15 but my concern is more general. I was wondering if Lammps is able to handle a tabulated three-body potential in dependency of the angle between triplets of particles jik. Additionally it would be good to consider such triplets just if the distance r_ij < r_cut and r_ik < r_cut (particle i the the central one).
The potential I would like to tabulate has the flavor of the three-body term of the Stillinger-Weber potential but not exactly. As a first step using a tabulated potential with respect to the angle would be more than sufficient. Do you think that is possible with Lammps?

Unless I did not understand correctly the angle_style table accounts exclusively for bonded particles. Sorry if I misunderstood and many thanks for your help.