A new exactly solvable alternative to the Calogero three-particle model is
proposed. Sharing its confining long-range part, it contains the mere
zero-range two-particle barriers. Their penetrability gives rise to a
tunneling, tunable via their three independent strengths. Their variability can
control the removal of the degeneracy of the energy levels in an innovative,
non-perturbative manner.Comment: 10 pages in Latex, 2 ps figure
