  The exactly solvable model of two indistinguishable quantum particles (bosons
or fermions) confined in a one-dimensional harmonic trap and interacting via
finite-range soft-core interaction is presented and many properties of the
system are examined. Particularly, it is shown that independently on the
potential range, in the strong interaction limit bosonic and fermionic
solutions become degenerate. For sufficiently large ranges a specific
crystallization appears in the system. The results are compared to predictions
of the celebrated Busch {\it et al.} model and those obtained in the
Tonks-Girardeau limit. The assumed inter-particle potential is very similar to
the potential between ultra-cold dressed Rydberg atoms. Therefore, the model
can be examined experimentally.
