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).
Precision calculation of the quartet-channel p-d scattering length
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abstract
We present a fully perturbative calculation of the quartet-channel proton--deuteron scattering length up to next-to-next-to-leading order in pionless effective field theory. We use a framework that consistently extracts the Coulomb-modified effective range function for a screened Coulomb potential in momentum space and allows for a clear linear extrapolation back to the physical limit without screening. Our result of (10.9 +/- 0.4) fm agrees with older experimental determinations of this quantity but deviates from potential-model calculations and a more recent result from Black et al., which find larger values around 14 fm. As a possible resolution to this discrepancy, we discuss the scheme dependence of Coulomb subtractions in a three-body system.
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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 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.