Four-boson scale near a Feshbach resonance

Details Four-boson scale near a Feshbach resonance Four-boson scale near a Feshbach resonance

2006-02-23

arxiv.org/abs/cond-mat/0602549v2

Europhys. Lett. 75, 555 (2006)

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1209/epl/i2006-10141-6

We show that an independent four-body momentum scale $\mu_{(4)}$ drives the tetramer binding energy for fixed trimer energy (or three-body scale $\mu_{(3)}$) and large scattering length ($a$). The three- and four-body forces from the one-channel reduction of the atomic interaction near a Feshbach resonance disentangle $\mu_{(4)}$ and $\mu_{(3)}$. The four-body independent scale is also manifested through a family of Tjon-lines, with slope given by $\mu_{(4)}/\mu_{(3)}$ for $a^{-1}=0$. There is the possibility of a new renormalization group limit cycle due to the new scale.

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