Damghan University Press Iranian Journal of Astronomy and Astrophysics 2322-4924 5 2 2018 10 01 Alpha-4 He Elastic Scattering with halo Effective Field Theory at Low Energy پراکندگی کشسان آلفا-آلفا با روش نظریه میدان موثر هاله ای در انرژی کم 105 115 150 10.22128/ijaa.2018.340.1053 EN Hassan Khalili Department of Physics, Faculty of Science, Arak University, Arak 8349-8-38156, Iran 0000-0002-2839-4158 Mohsen Moosavi Khansari Department of Physics, Faculty of Science, Ayatollah Boroujerdi University, Boroujerd, Iran Journal Article 2019 10 28 In the present work, we studied the α- 4He particle elastic scattering by measuring cross section with halo Effective Field Theory (hEFT) at low energies. In this article, we considered α- 4He elastic scattering in S-wave state at the very low energy. The α- 4He elastic scattering amplitude comprises the initial s-wave strong and Coulomb interaction at leading order. Because of the unnaturally large scattering length of the 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. Data of the α- 4He elastic scattering refer basically to the low energy extending to 0.29 MeV, the total cross section that with this approach has been calculated will be σ_t≃ 16:0226 mb. It was shown that, the presented strategy can be efficiently developed for the other halo nucleus. https://ijaa.du.ac.ir/article_150_35c1052cf7d68caa99b1a7b2f08015b4.pdf