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We demonstrate that the (s-wave) geometric spectrum of the Efimov energylevels in the unitary limit is generated by the radial motion of a primitiveperiodic orbit (and its harmonics) of the corresponding classical system. Theaction of the primitive orbit depends logarithmically on the energy. It isshown to be consistent with an inverse-squared radial potential with a lowercut-off radius. The lowest-order WKB quantization, including the Langercorrection, is shown to reproduce the geometric scaling of the energy spectrum.The (WKB) mean-squared radii of the Efimov states scale geometrically like theinverse of their energies. The WKB wavefunctions, regularized near theclassical turning point by Langer's generalized connection formula, arepractically indistinguishable from the exact wave functions even for the lowest($n=0$) state, apart from a tiny shift of its zeros that remains constant forlarge $n$.

A semiclassical analysis of the Efimov energy spectrum in the unitary limit