Abstract
3He and the triton are studied as three-body bound states in the effective field theory without pions. We study 3He using the set of integral equations developed by Kok et al which includes the full off-shell T-matrix for the Coulomb interaction between the protons. To leading order, the theory contains two-body contact interactions whose renormalized strengths are set by the NN scattering lengths, the Coulomb potential and a three-body contact interaction. We solve the three coupled integral equations with a sharp momentum cutoff, Λ, and find that a three-body interaction is required in 3He at leading order, as in the triton. It also exhibits the same limit-cycle behaviour as a function of Λ, showing that the Efimov effect remains in the presence of the Coulomb interaction. We also obtain the difference between the strengths of the three-body forces in 3He and the triton.
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