https://doi.org/10.1140/epjst/e2015-02377-y
Regular Article
A toy model for the dipolar-induced resonance in quasi-one-dimensional systems
1 INO-CNR BEC Center and Dip. di Fisica, Università di Trento, Povo, Italy
2 Lab. C. Coulomb (L2C), UMR 5221 CNRS-Univ. Montpellier 2, Montpellier, France
a e-mail: bartolo@science.unitn.it
Received: 15 October 2014
Revised: 19 February 2015
Published online: 9 April 2015
We discuss the properties of the effective dipolar interaction for two particles tightly confined along a one-dimensional tube, stressing the emergence of a single dipolar-induced resonance in a regime for which two classical dipoles would just repel each other. We present a toy-model potential reproducing the main features of the effective interaction: a non-zero-range repulsive potential competing with an attractive contact term. The existence of a single resonance is confirmed analytically. The toy model is than generalized to investigate the interplay between dipolar and contact interaction, giving an intuitive interpretation of the resonance mechanism.
© EDP Sciences, Springer-Verlag, 2015
