We present numerical solutions of the Schr\"odinger equation for three identical bosons from very large to essentially infinite two-body $s$ -wave scattering lengths $a$ . We have considered scattering lengths up to $2\ifmmode\times\else\texttimes\fi{}{10}^{5}\phantom{\rule{0.3em}{0ex}}\mathrm{a.u.}$ and solved the hyperangular part of the Schr\"odinger equation for distances up to ${10}^{6}\phantom{\rule{0.3em}{0ex}}\mathrm{a.u.}$ From these, we obtained the three-body effective potentials, hyperspherical channel functions and the asymptotic behavior of the nonadiabatic couplings in order to characterize the main aspects of the Efimov states. These results allow us to test and quantify the assumptions related to the Efimov effect.We present numerical solutions of the Schr\"odinger equation for three identical bosons from very large to essentially infinite two-body $s$-wave scattering lengths $a$. We have considered scattering lengths up to $2\ifmmode\times\else\texttimes\fi{}{10}^{5}\phantom{\rule{0.3em}{0ex}}\mathrm{a.u.}$ and solved the hyperangular part of the Schr\"odinger equation for distances up to ${10}^{6}\phantom{\rule{0.3em}{0ex}}\mathrm{a.u.}$ From these, we obtained the three-body effective potentials, hyperspherical channel functions and the asymptotic behavior of the nonadiabatic couplings in order to characterize the main aspects of the Efimov states. These results allow us to test and quantify the assumptions related to the Efimov effect.

arXiv:cond-mat/0503535Physical Review ASep 12, 200527 citations

We present numerical solutions of the Schr\"odinger equation for three identical bosons from very large to essentially infinite two-body

s

-wave scattering lengths

a

. We have considered scattering lengths up to $2\ifmmode\times\else\texttimes\fi{}{10}^{5}\phantom{\rule{0.3em}{0ex}}\mathrm{a.u.}$ and solved the hyperangular part of the Schr\"odinger equation for distances up to

{10}^{6}\phantom{\rule{0.3em}{0ex}}\mathrm{a.u.}

From these, we obtained the three-body effective potentials, hyperspherical channel functions and the asymptotic behavior of the nonadiabatic couplings in order to characterize the main aspects of the Efimov states. These results allow us to test and quantify the assumptions related to the Efimov effect.