Effective theory of 3H and 3He

Sebastian König, Harald W. Grießhammer, H. W. Hammer, Ubirajara Van Kolck

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Abstract

We present a new perturbative expansion for pionless effective field theory with Coulomb interactions in which at leading order (LO) the spin-singlet nucleonnucleon channels are taken in the unitarity limit. Presenting results up to next-to-leading order for the Phillips line and the neutrondeuteron doubletchannel phase shift, we find that a perturbative expansion in the inverse 1S0 scattering lengths converges rapidly. Using a new systematic treatment of the protonproton 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 LO 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 (EB (3He) EB (3H)) NLO (-0.86 ± 0.17) MeV.

Original languageEnglish (US)
Article number055106
JournalJournal of Physics G: Nuclear and Particle Physics
Volume43
Issue number5
DOIs
Publication statusPublished - Apr 12 2016

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Keywords

  • Coulomb interaction
  • pionless effective field theory
  • unitarity limit

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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