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arXiv · 1512.06786

Universal description of three two-component fermions

O. I. Kartavtsev·A. V. Malykh
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Abstract

A quantum mechanical three-body problem for two identical fermions of mass $m$ and a distinct particle of mass $m_1$ in the universal limit of zero-range two-body interaction is studied. For the unambiguous formulation of the problem in the interval $μ_r < m/m_1 \le μ_c$ ($μ_r \approx 8.619$ and $μ_c \approx 13.607$) an additional parameter $b$ determining the wave function near the triple-collision point is introduced; thus, a one-parameter family of self-adjoint Hamiltonians is defined. The dependence of the bound-state energies on $m/m_1$ and $b$ in the sector of angular momentum and parity $L^P = 1^-$ is calculated and analysed with the aid of a simple model.

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O. I. Kartavtsev, A. V. Malykh. 2016-01-25. Universal description of three two-component fermions. https://doi.org/10.1209/0295-5075%2F115%2F36005

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