Towards the first \textit{ab initio} description of the deuterium-tritium fusion

The deuterium-tritium reaction is important for the future fusion energy generation. It is used in laser-induced fusion at NIF and magnetic-confinement fusion at ITER. Even though it has been well studied experimentally, its first principles theoretical understanding is important. We are building a new capability to describe light-ion fusion reactions from first principles, known as \textit{ab initio} NCSM/RGM approach [1,2]. We have completed a promising preliminary study of nucleon-nucleus scattering, particularly $n-^{4}$He scattering below the $d+^{3}$H threshold [1,2]. Now we are developing the deuterium-nucleus formalism that coupled with the nucleon-nucleus basis will allow us the first \textit{ab initio} calculation of the $^{3}$H($d$,$n)^{4}$He fusion. We will present recent results and work in progress. \\[4pt] [1] S. Quaglioni and P. Navratil, Phys. Rev. Lett. \textbf{101}, 092501 (2008). \\[0pt] [2] S. Quaglioni and P. Navratil, Phys. Rev. C \textbf{79}, 044606 (2009).