  Efimov physics relates to 3-body systems with large 2-body scattering lengths
a and small effective ranges r. For many systems in nature the assumption of a
small effective range is not valid. The present report shows binding energies E
of three identical bosons calculated with 2-body potentials that are fitted to
scattering data and momentum cut-offs (L) by inverse scattering. Results agree
with previous works in the case of r<<a.
  While energies diverge with momentum cut-off L for r=0, they converge for r>0
when L=~10/r. With 1/a=0 the converged energies are given by E(n) =C(n)/r*r
with n labeling the energy-branch and calculated values C(0)=0.77, C(1)=.0028.
This gives a ratio ~278 thus differing from the value ~515 in the Efimov case.
  Efimov's angular dependent function is calculated. Good agreement with
previous works is obtained when r<< a. With the increased values of effective
range the shallow states still appear Efimov-like. For deeper states the
angular dependence differs but is independent of the effective range.
