A toy model for the dipolar-induced resonance in quasi-one-dimensional   systems
  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. 
Nicola Bartolo, David J. Papoular, Alessio Recati, and Chiara Menotti
cond-mat.quant-gas quant-ph