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

Abstract

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