Halo EFT calculation of charge form factor for two-neutron $${}^{6}\text {He}$$ 6 He halo nucleus: two-body resonant P-wave interaction

We take a new look at $$^{6}\text {He}$$ halo nucleus and set up a halo effective field theory at low energies to calculate the charge form factor of $${}^{6}\text {He}$$ system with resonant P-wave interaction. P-wave Lagrangian has been introduced and the charge form factor of $${}^{6}\text {He}$$ halo nucleus has been obtained at Leading-Order. In this study, the mean-square charge radius of $${}^{6}\text {He}$$ nucleus relative to $${}^{4}\text {He}$$ core and the root-mean-square (r.m.s) charge radius of $${}^{6}\text {He}$$ nucleus have been estimated as $$\langle r_{E}^{2}\rangle =1.408\; \text {fm}^{2}$$ and $$\langle r_{E}^{2}\rangle _{{}^{6}He}^{\frac{1}{2}}=2.058 \;\text {fm}$$ , respectively. We have compared our results with the other available theoretical and experimental data.