| Issue |
EPL
Volume 103, Number 2, July 2013
|
|
|---|---|---|
| Article Number | 27005 | |
| Number of page(s) | 6 | |
| Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
| DOI | https://doi.org/10.1209/0295-5075/103/27005 | |
| Published online | 14 August 2013 | |
Stability of three-fermion clusters with finite range of attraction
Hewlett-Packard Company - Corvallis, OR, USA
Received: 23 May 2013
Accepted: 17 July 2013
Three quantum particles with on-site repulsion and nearest-neighbour attraction on a one-dimensional lattice are considered. The three-body Schrödinger equation is reduced to a set of single-variable integral equations. Energies of three-particle bound complexes (trions) are found from self-consistency of the approximating matrix equation. In the case of spin-
fermions, the ground-state trion energy, the excited-state energies, the trion spectra and stability regions are obtained for total spins S = 1/2 and S = 3/2. In the S = 1/2 sector, a narrow but finite parameter region is identified where the ground state consists of a stable fermion pair and an unbound fermion. Also presented is the reference case of spin-0 bosons.
PACS: 71.10.Li – Excited states and pairing interactions in model systems / 74.90.+n – Other topics in superconductivity (restricted to new topics in section 74)
© EPLA, 2013
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