Journal
JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS
Volume 37, Issue 10, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0954-3899/37/10/105108
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Funding
- STFC [PP/F000448/1, ST/F012047/1]
- STFC [PP/F000448/1, ST/F012047/1] Funding Source: UKRI
- Science and Technology Facilities Council [PP/F000448/1, ST/F012047/1] Funding Source: researchfish
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He-3 and the triton are studied as three-body bound states in the effective field theory without pions. We study He-3 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, Lambda, and find that a three-body interaction is required in He-3 at leading order, as in the triton. It also exhibits the same limit-cycle behaviour as a function of Lambda, 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 He-3 and the triton.
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