Pairing of the Pöschl–Teller gas
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We report calculations of equation of state of a model system, representative for a cold Fermi gas, of particles interacting via the Pöschl–Teller interaction. In successively more sophisticated calculations, we determine the importance of correlations and non-localities. We show that the gas displays, at relatively low density, an instability indicated by a divergence of the in-medium scattering length which occurs well before the divergence of the vacuum scattering length and the spinodal density. We also calculate the pairing gap and show that non-local correlations can change the pairing gap by almost an order of magnitude.
KeywordsSuperfluidity Quantum fluids Cold gases
This work was supported, in part, by the College of Arts and Sciences, University at Buffalo SUNY, and the Austrian Science Fund Project I602 (to EK). Discussions with Jordi Boronat, John W. Clark, and Robert E. Zillich are gratefully acknowledged.
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