2014/01/06 by Chao Gao, Gao, Chao, Zhenhua Yu +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #cond-mat.quant-gas
paper · pdf · doi:10.48550/arxiv.1401.0965
The neglected term $Q_{00}$ has been calculated numerically and found to be non-negligible in the large hyperradius limit
arxiv created 2014/08/07 · arxiv updated 2014/08/08
A new kind of "super-Efimov" states of binding energies scaling as ln|En|∼-e3nπ/4 were predicted by a field theory calculation for three fermions with resonant p-wave interactions in two dimensions [Phys. Rev. Lett. 110, 235301 (2013)]. However, the universality of these "super-Efimov" states has not been proved independently. In this Letter, we study the three fermion system through the hyperspherical formalism. Within the adiabatic approximation, we find that at p-wave resonances, the low energy physics of states of angular momentum ℓ=±1 crucially depends on the value of an emergent dimensionless parameter Y determined by the detail of the inter-particle potential. Only if Y is exactly zero, the predicted "super-Efimov" states exist. If Y>0, the scaling of the bound states changes to ln|En|∼-(nπ)2/2Y, while there are no shallow bound states if Y<0.