| Issue |
EPL
Volume 115, Number 3, August 2016
|
|
|---|---|---|
| Article Number | 36005 | |
| Number of page(s) | 6 | |
| Section | Condensed Matter: Structural, Mechanical and Thermal Properties | |
| DOI | https://doi.org/10.1209/0295-5075/115/36005 | |
| Published online | 13 September 2016 | |
Universal description of three two-component fermions
Joint Institute for Nuclear Research - Dubna, 141980, Russia
Received: 28 April 2016
Accepted: 19 August 2016
A quantum-mechanical three-body problem for two identical fermions of mass m and a distinct particle of mass m1 in the universal limit of zero-range two-body interaction is studied. For the unambiguous formulation of the problem in the interval 
(
and 
) 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/m1 and b in the sector of angular momentum and parity 
is calculated and analysed with the aid of a simple model.
PACS: 67.85.-d – Ultracold gases, trapped gases / 03.65.Ge – Solutions of wave equations: bound states / 21.45.-v – Few-body systems
© EPLA, 2016
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