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

TL;DR

This paper calculates the triton charge radius to NNLO in pionless EFT, achieving results consistent with experimental data and introducing new techniques for perturbative corrections in short-range EFTs.

Contribution

The paper provides a high-precision NNLO calculation of the triton charge radius in pionless EFT and introduces novel methods for perturbative corrections in short-range effective field theories.

Findings

Predicted triton charge radius at NNLO: 1.62±0.03 fm

Results agree with experimental value of 1.5978±0.040 fm

New techniques for perturbative corrections in EFTs introduced

Abstract

The triton point charge radius is calculated to next-to-next-to-leading order (NNLO) in pionless effective field theory ($\mathrm{EFT}(\not{\!\pi})$), yielding a prediction of $1.14\pm0.19$ fm (leading order), $1.59\pm0.08$ fm (next-to leading order), and $1.62\pm0.03$ fm (NNLO) in agreement with the current experimental extraction of $1.5978\pm0.040$ 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 $\mathrm{EFT}(\not{\!\pi})$ 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 $\mathrm{EFT}(\not{\!\pi})$