Hyperspherical treatment of strongly-interacting few-fermion systems in one dimension
Department of Physics and Astronomy, Aarhus University, 8000 Aarhus C, Denmark
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Received: 15 October 2014
Revised: 19 February 2015
Published online: 9 April 2015
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.
© EDP Sciences, Springer-Verlag, 2015