Trimers in the resonant 2+1 fermionic problem on a narrow Feshbach resonance : Crossover from Efimovian to Hydrogenoid spectrum

@article{Castin2011TrimersIT,
  title={Trimers in the resonant 2+1 fermionic problem on a narrow Feshbach resonance : Crossover from Efimovian to Hydrogenoid spectrum},
  author={Yvan Castin and Edoardo Tignone},
  journal={Physical Review A},
  year={2011},
  volume={84},
  pages={062704}
}
We study the quantum three-body free space problem of two same-spin-state fermions of mass $m$ interacting with a different particle of mass $M$, on an infinitely narrow Feshbach resonance with infinite $s$-wave scattering length. This problem is made interesting by the existence of a tunable parameter, the mass ratio $\alpha=m/M$. By a combination of analytical and numerical techniques, we obtain a detailed picture of the spectrum of three-body bound states, within {\sl each} sector of fixed… 

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