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.
Categories: nucl-th