σ - 4He Elastic Scattering with Halo Eective Field Theory at Low Eenerg

We studied the alpha-alpha particle scattering (σσ) with halo Effective Field Theory (hEFT) as well as halolike systems. In this paper, we considered a σσ elastic scattering in s-wave state at the very low energy. Because of the unnaturally large scattering length of a σσ, it is considered as a halo system. We dened the la- grangian of this system and then calculated the T-matrix for the scattering amplitude at leading order by using of the Feynman diagrams. For the a σσ elastic scattering at energy about 0.29 MeV, the total cross section that with this approach has been calculated will be σ - t ' 16:0226 mb.