“…Because of the clustered structure of 9 Be, α+ 9 Be reactions have been proposed to be very powerful tools to explore the spectroscopy of 13 C above the α-threshold [13]. When an α-particle strikes a 9 Be, dominant reactions are the elastic or inelastic resonant scatterings, respectively 9 Be(α,α) and 9 Be(α,α ) [13][14][15][16][17][18][19], and the 9 Be(α,n) reactions [20,21]. To help to clarify the spectroscopy of 13 C above the α-threshold, we performed, for the first time, * e-mail: ivano.lombardo@ct.infn.it a completely unified and comprehensive analysis of the above mentioned reactions in terms of the R-matrix theory.…”