Recent advances in description of few two-component fermions

• Published in: Physics of atomic nuclei 2014-04, Vol.77 (4), p.430-437
• Main Authors: Kartavtsev, O. I., Malykh, A. V.
• Format: Article
• Language: English
• Subjects: Nuclei; Particle and Nuclear Physics; Physics; Physics and Astronomy
• ISSN: 1063-7788; 1562-692X
• DOI: 10.1134/S1063778814030120

Overview of the recent advances in description of the few two-component fermions is presented. Themodel of zero-range interaction is generally considered to discuss the principal aspects of the few-body dynamics. Particular attention is paid to detailed description of two identical fermions of mass m and a distinct particle of mass m 1 : it turns out that two L P = 1 − three-body bound states emerge if mass ratio m/m 1 increases up to the critical value µ c ≈ 13.607, abovewhich the Efimov effect takes place. The topics considered include rigorous treatment of the few-fermion problem in the zero-range interaction limit, lowdimensional results, the four-body energy spectrum, crossover of the energy spectra for m/m 1 near µ c , and properties of potential-dependent states. At last, enlisted are the problems, whose solution is in due course.