We studied the alpha-alpha particle scattering with halo Effective Field Theory (hEFT) as well as halolike systems. In this paper, we considered α-α elastic scattering in s-wave state at the very low energy. Because of the unnaturally large scattering length of aαα, it is considered as a halo system. We defined the lagrangian of this system and then calculated the T-matrix for the scattering amplitude at leading order by using of the Feynman diagrams. For the α-α elastic scattering at energy about 0.29 MeV, the total cross section that with this approach has been calculated will be σt≃ 16:0226 mb.
