When a charged particle heavier than the electron induced to the atom, it will be captured in a very high level due to its large mass . If this ini tial particle is kaon and the light target nucleus is a deuteron, after slowing down and losing energy it will be replaced instead of atomic electrons of the target and a kaonic atom will be created.Then after kaon dexcition and in levels with small quantum numbers, because of overlapping of kaon wave function with target nucleus, the effects of nuclear interaction will be stroger. The kaon-nucleon nuclear interaction inside the nucleus causes deeply bound kaonic nuclear states. Kaon also can interact with nucleons of the target nucleus directly without being stopped in the material. Because of this interaction a nucleon or a pion will exit when the kaonic bound states produced. One can obtain information about the construction and the energy of kaonic system by detecting the final state particle and calculating the missing mass spectrum. When a negative kaon interacts with a deuteron as a hadron and meets the proton of deuteron by considering the strong interaction between meson and baryon, a bound state will be formed whose mass is about 1405 and called (1405) ? = . The r esonance state has been studied and investigated both theoretically and experimentally for decades. The purpose of this thesis is to study the (1405) ? resonance state theoretically by calculating the transition T-matrix using generalized optical potential with Yukawa-type separable parameters . In the current calculation the formation of (1405) ? in the K - d ? (1405) ? + n ? ??n reaction is studied and the results of the analysis are fitted to the experimental data of E-31 carried out at J-PARC accelerator which is related to the collision of negativ e kaon of 1GeV momentum with liquid deuteron and according to the best fit, mass and width of this resonant state is calculated as = 1419 2/4 and ? = 30 +5 -4/5 MeV , respectively.