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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Journal of Physics G: Nuclear and Particle Physics, IOP Publishing, 2016, 43 (5), pp.055106. 〈10.1088/0954-3899/43/5/055106〉
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Contributeur : Sophie Heurteau <>
Soumis le : jeudi 24 septembre 2015 - 17:13:19
Dernière modification le : jeudi 11 janvier 2018 - 06:12:41

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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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