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- W2068172906 abstract "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 total angular momentum $l$. For $alpha$ increasing from 0, we find that the trimer states first appear at the $l$-dependent Efimovian threshold $alpha_c^{(l)}$, where the Efimov exponent $s$ vanishes, and that the {sl entire} trimer spectrum (starting from the ground trimer state) is geometric for $alpha$ tending to $alpha_c^{(l)}$ from above, with a global energy scale that has a finite and non-zero limit. For further increasing values of $alpha$, the least bound trimer states still form a geometric spectrum, with an energy ratio $exp(2pi/|s|)$ that becomes closer and closer to unity, but the most bound trimer states deviate more and more from that geometric spectrum and eventually form a hydrogenoid spectrum." @default.
- W2068172906 created "2016-06-24" @default.
- W2068172906 creator A5029006993 @default.
- W2068172906 creator A5031838262 @default.
- W2068172906 date "2011-12-08" @default.
- W2068172906 modified "2023-10-18" @default.
- W2068172906 title "Trimers in the resonant (<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math>)-fermion problem on a narrow Feshbach resonance: Crossover from Efimovian to hydrogenoid spectrum" @default.
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- W2068172906 doi "https://doi.org/10.1103/physreva.84.062704" @default.
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