Volume 115, Number 3, August 2016
|Number of page(s)||6|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|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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