Toward the first ab initio description of the deuterium-tritium fusion

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]. Using a recently developed formalism based on nucleon-nucleus basis states, 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 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).