The linear baryon

We describe classical orbits and quantum states of a three-particle system, which is weakly chaotic. The quantum energies of the lowest 48 states, which are invariant under permutations, are given both for various approximations and to high accuracy. The quantum mechanical probability distributions are given in a two-dimensional version of the system, the hexagonal pit. The quantum probabilities show strong resemblance to classical orbits of various types, including chaotic ones.