Pionless EFT calculations find unexpectedly small O(alpha) Coulomb corrections to three-nucleon magnetic moments and GT matrix elements, yielding a fitted prediction for the proton-proton fusion reduced matrix element of 2.776(331).
Quartet S-wave p-d scattering in EFT
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abstract
We present a power counting to include Coulomb effects in the three-nucleon system in a low-energy pionless effective field theory (EFT). With this power counting, the quartet S-wave proton-deuteron elastic scattering amplitude is calculated. The calculation includes next-to-leading order (NLO) Coulomb effects and next-to-next-to-leading order (NNLO) strong interaction effects, with an estimated theoretical error of about 7 %. The EFT results agree with potential model calculations and phase shift analysis of experimental data within the estimated errors.
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Non-perturbative Coulomb corrections in LO pionless EFT give a 0.85(3) MeV He-3/H-3 binding split, 0.043(2) fm charge-radius shift, 0.036(2) fm magnetic-radius shift, and -0.0041(1) μ_N moment shift.
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Coulomb Corrections to Three-Nucleon Moments
Pionless EFT calculations find unexpectedly small O(alpha) Coulomb corrections to three-nucleon magnetic moments and GT matrix elements, yielding a fitted prediction for the proton-proton fusion reduced matrix element of 2.776(331).
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Coulomb Effects and Wigner-SU(4) Symmetry in He-3 Charge and Magnetic Properties
Non-perturbative Coulomb corrections in LO pionless EFT give a 0.85(3) MeV He-3/H-3 binding split, 0.043(2) fm charge-radius shift, 0.036(2) fm magnetic-radius shift, and -0.0041(1) μ_N moment shift.