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We consider a system of three helium-4 atoms, which is so far the simplestrealistic three-body system exhibiting the Efimov effect, in order to analysedeviations from the universal Efimov three-body spectrum. We first calculatethe bound states using a realistic two-body potential, and then analyse howthey can be reproduced by simple effective models beyond Efimov's universaltheory. We find that the non-universal variations of the first two states canbe well reproduced by models parametrized with only three quantities: thescattering length and effective range of the original potential, and thestrength of a small three-body force. Furthermore, the three-body parameterwhich fixes the origin of the infinite set of three-body levels is found to beconsistent with recent experimental observations in other atomic species.

Universality and the three-body parameter of helium-4 trimers