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Nuclear Theory

arXiv:1508.05085 (nucl-th)
[Submitted on 20 Aug 2015 (v1), last revised 27 Apr 2016 (this version, v2)]

Title:Effective Theory of 3H and 3He

Authors:Sebastian König, Harald W. Grießhammer, H.-W. Hammer, U. 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 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 +/- 0.17) MeV.
Comments: 37 pages, 14 figures, published version
Subjects: Nuclear Theory (nucl-th)
Cite as: arXiv:1508.05085 [nucl-th]
  (or arXiv:1508.05085v2 [nucl-th] for this version)
  https://doi.org/10.48550/arXiv.1508.05085
Journal reference: J. Phys. G: Nucl. Part. Phys. 43 (2016) 055106
Related DOI: https://doi.org/10.1088/0954-3899/43/5/055106

Submission history

From: Sebastian König [view email]
[v1] Thu, 20 Aug 2015 19:49:08 UTC (130 KB)
[v2] Wed, 27 Apr 2016 15:53:29 UTC (130 KB)
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