α_^4 He Elastic Scattering with halo Effective Field Theory at Low Energy

We studied the alpha-alpha particle scattering (αα) 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 a αα, it is considered as a halo system. We defined 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 α-α elastic scattering at energy about 0.29 MeV, the total cross section that with this approach has been calculated will be σt \cong 16:0226 mb.