Crossover trimers connecting continuous and discrete scaling regimes

Shimpei Endo, Pascal Naidon, Masahito Ueda

研究成果: Article査読

23 被引用数 (Scopus)


For a system of two identical fermions and one distinguishable particle interacting via a short-range potential with a large s-wave scattering length, the Efimov trimers and Kartavtsev-Malykh trimers exist in different regimes of mass ratio. The Efimov trimers are known to exhibit a discrete scaling invariance, while the Kartavtsev-Malykh trimers feature a continuous one. We point out that a third type of trimer, "crossover trimers," exists universally regardless of short-range details of the potential. These crossover trimers have neither discrete nor continuous scaling invariance. We show that the crossover trimers continuously connect the discrete and continuous scaling regimes as the mass ratio and the scattering length are varied. We identify the regions for the Kartavtsev-Malykh trimers, Efimov trimers, crossover trimers, and nonuniversal trimers in terms of the mass ratio and the s-wave scattering length by investigating the scaling property and universality (i.e., independence on short-range details) of the trimers.

ジャーナルPhysical Review A - Atomic, Molecular, and Optical Physics
出版ステータスPublished - 2012 12月 13

ASJC Scopus subject areas

  • 原子分子物理学および光学


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