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Triton electric form factor at low energies. (English) Zbl 1209.81218
Summary: By using of the Effective Field Theory (EFT) expansion recently developed by the authors, the charge form factor of triton has been calculated up to next-to-next-to-leading order (N$$^2$$LO). Three-nucleon forces (3NF) are required for renormalization of the three-nucleon system. 3NF effect is predicted for process and it is qualitatively supported by available experimental data. With the $$^3$$H binding energy and scattering length as input, we obtain predictions of the pionless EFT for the root-mean-square charge radius of $$^3$$H of ($$1.775 \pm 0.023$$) fm up to N$$^2$$LO. We 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 modern nucleon-nucleon potential model calculations. Our result converges order by order in low-energy expansion and is also cutoff independent.

##### MSC:
 81V35 Nuclear physics
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