Triton Electric Form Factor at Low-Energies

TL;DR

This paper uses Effective Field Theory to compute the triton's charge form factor at low energies, achieving high precision and agreement with experimental data through systematic higher-order corrections.

Contribution

The authors develop a systematic EFT approach to accurately calculate the triton charge form factor up to N$^2$LO, demonstrating convergence and cut-off independence.

Findings

Charge form factor and radius agree with experimental data.

Method achieves order-by-order convergence.

Results are consistent with realistic potential models.

Abstract

Making use of the Effective Field Theory(EFT) expansion recently developed by the authors, we compute the charge form factor of triton up to next-to-next-to-leading order (N$^2$LO). The three-nucleon forces(3NF) is required for renormalization of the three-nucleon system and it effects are predicted for process and is qualitatively supported by available experimental data. We also show that, by including higher order corrections, the calculated charge form factor and charge radius of $^3$H are in satisfactory agreement with the experimental data and the realistic Argonne $v_{18}$ two-nucleon and Urbana IX potential models calculations. This method makes possible a high precision few-body calculations in nuclear physics. Our result converges order by order in low energy expansion and also cut-off independent.