Eur. Phys. J. Special Topics 224, 585–590 (2015)
https://doi.org/10.1140/epjst/e2015-02390-2

Regular Article

Hyperspherical treatment of strongly-interacting few-fermion systems in one dimension

Department of Physics and Astronomy, Aarhus University, 8000 Aarhus C, Denmark

^a e-mail: artem@phys.au.dk

Received: 15 October 2014
Revised: 19 February 2015
Published online: 9 April 2015

Abstract

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.