Effective Theory of 3H and 3He

Abstract : We present a new perturbative expansion for pionless effective field theory with Coulomb interactions in which at leading order the spin-singlet nucleon-nucleon channels are taken in the unitarity limit. Presenting results up to next-to-leading order for the Phillips line and the neutron-deuteron doublet-channel phase shift, we find that a perturbative expansion in the inverse 1S0 scattering lengths converges rapidly. Using a new systematic treatment of the proton-proton sector that isolates the divergence due to one-photon exchange, we renormalize the corresponding contribution to the 3H-3He binding energy splitting and demonstrate that the Coulomb force in pionless EFT is a completely perturbative effect in the trinucleon bound-state regime. In our new expansion, the leading order is exactly isospin-symmetric. At next-to-leading order, we include isospin breaking via the Coulomb force and two-body scattering lengths, and find for the energy splitting (E_B(3He)-E_B(3H))^NLO = (-0.86 +/- 0.12) MeV.
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Submitted on : Thursday, September 24, 2015 - 5:13:19 PM
Last modification on : Thursday, January 11, 2018 - 6:12:41 AM

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S. König, H.W. Grießhammer, H-W Hammer, U Van Kolck. Effective Theory of 3H and 3He. Journal of Physics G: Nuclear and Particle Physics, IOP Publishing, 2016, 43 (5), pp.055106. ⟨10.1088/0954-3899/43/5/055106⟩. ⟨in2p3-01204948⟩

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