Hyperspherical Treatment of Strongly-Interacting Few-Fermion Systems in   One Dimension
  We examine a one-dimensional two-component fermionic system in a trap, assuming that all particles have the same mass and interact through a strong repulsive zero-range force. First we show how a simple system of three strongly interacting particles in a harmonic trap can be treated using the hyperspherical formalism. Next we discuss the behavior of the energy for the N-body system. 
A. G. Volosniev and D. V. Fedorov and A. S. Jensen and N. T. Zinner
cond-mat.quant-gas quant-ph