The Triton Charge Radius to Next-to-next-to-leading order in Pionless Effective Field Theory

Abstract

The triton point charge radius is calculated to next-to-next-to-leading order (NNLO) in pionless effective field theory ($\mathrm{EFT}(/\pi )$), yielding a prediction of $1.14\pm 0.19$ fm (leading order), $1.59\pm 0.08$ fm (next-to leading order), and $1.62\pm 0.03$ fm (NNLO) in agreement with the current experimental extraction of $1.5978\pm 0.040$ fm [Angeli and Marinova, At. Data Nucl. Data Tables 99, 69 (2013)]. The error at NNLO is due to cutoff variation ($\sim$ 1%) within a reasonable range of calculated cutoffs and from a $\mathrm{EFT}(/\pi )$ error estimate ($\sim$ 1.5%). In addition new techniques are introduced to add perturbative corrections to bound and scattering state calculations for short range effective field theories, but with a focus on their use in $\mathrm{EFT}(/\pi )$

v1: 41 pages, 21 figures; v2: 47 pages, 19 figures; v3: 51 pages 19 figures

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