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

Abstract

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 $⟨r_E^2⟩=1.408{\text{fm}}^2$ and $⟨r_E^2{⟩}_{{}^{6}He}^{\frac{1}{2}}=2.058\text{fm}$, respectively. We have compared our results with the other available theoretical and experimental data.