Trojan Horse method and radioactive ion beams: study of ${}^{18}$F(p,$\alpha$)${}^{15}$O reaction at astrophysical energies

The Trojan Horse Method was applied for the first time to a Radioactive Ion Beam induced reaction to study the reaction ${}^{18}$F(p,$\alpha$)${}^{15}$O via the three body reaction ${}^{18}$F(d,$\alpha$ ${}^{15}$O)n at the low energies relevant for astrophysics. The abundance of ${}^{18}$F in Nova explosions is an important issue for the understanding of this astrophysical phenomenon. For this reason it is necessary to study the nuclear reactions that produce or destroy ${}^{18}$F in Novae. ${}^{18}$F(p,$\alpha$)${}^{15}$O is one of the main ${}^{18}$F destruction channels. Preliminary results are presented in this paper.