Damghan University PressIranian Journal of Astronomy and Astrophysics2322-49245220181001Alpha-4 He Elastic Scattering with halo Effective Field Theory at Low Energyپراکندگی کشسان آلفا-آلفا با روش نظریه میدان موثر هاله ای در انرژی کم10511515010.22128/ijaa.2018.340.1053ENHassan KhaliliDepartment of Physics, Faculty of Science, Arak University, Arak 8349-8-38156, Iran0000-0002-2839-4158Mohsen Moosavi KhansariDepartment of Physics, Faculty of Science, Ayatollah Boroujerdi University, Boroujerd, IranJournal Article20191028In 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