Monday, November 26, 2012

1211.5557 (O. I. Kartavtsev et al.)

Recent advances in description of few two-component fermions    [PDF]

O. I. Kartavtsev, A. V. Malykh
Overview of the recent advances in description of the few two-component fermions is presented. The zero-range interaction limit is generally considered to discuss the principal aspects of the few-body dynamics. Significant attention is paid to detailed description of two identical fermions of mass $m$ and a distinct particle of mass $m_1$; two universal $L^P = 1^-$ bound states arise for mass ratio $m/m_1$ increasing up to the critical value $\mu_c \approx 13.607$, beyond which the Efimov effect takes place. The topics considered include rigorous treatment of the few-fermion problem in the zero-range interaction limit, low-dimensional results, the four-body energy spectrum, crossover of the energy spectra for $m/m_1$ near the critical value $\mu_c $, and properties of potential-dependent states. At last, enlisted are the problems, whose solution is in due course.
View original: http://arxiv.org/abs/1211.5557

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