  A new data analysis method is developed for the angle resolving silicon
telescope introduced at the neutron time of flight facility n_TOF at CERN. The
telescope has already been used in measurements of several neutron induced
reactions with charged particles in the exit channel. The development of a
highly detailed method is necessitated by the latest joint measurement of the
$^{12}$C($n,p$) and $^{12}$C($n,d$) reactions from n_TOF. The reliable analysis
of these data must account for the challenging nature of the involved
reactions, as they are affected by the multiple excited states in the daughter
nuclei and characterized by the anisotropic angular distributions of the
reaction products. The unabridged analysis procedure aims at the separate
reconstruction of all relevant reaction parameters - the absolute cross
section, the branching ratios and the angular distributions - from the integral
number of the coincidental counts detected by the separate pairs of silicon
strips. This procedure is tested under the specific conditions relevant for the
$^{12}$C($n,p$) and $^{12}$C($n,d$) measurements from n_TOF, in order to assess
its direct applicability to these experimental data. Based on the reached
conclusions, the original method is adapted to a particular level of
uncertainties in the input data.
