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The motivation of the diagonalization method is to take into consideration the coupling between closed and opened channels in term of perturbation theory and to neglect the indirect coupling as well but also the autoionisation states through the opened channels. This procedure leads to a relatively simple mathematical problem consisting of solving a system of linear algebraic equations instead of a system of coupled differential equations or integro-differential equations. Diagonalization method under LS coupling scheme for the states 1,3Po; 1,3Do; 1,3Fo; 1,3Go; 1,3Ho was performed. The partial widths for multi-channel autoionizing levels to sublevels of N6+ were carried out by neglecting the direct coupling between opened channels. The calculations of total and partial widths of the (nln'l') 1,3Lo (L=1, 2, 3, 4 and 5) multiple-decay-channel system N5+ were performed. From L=1 to 2, the (4l4l') 1,3Lo states located under n=3 and the (3lnl') 1,3Lo states follow the same rules. All the (4l4l') 1,3Go and (4l4l') 1,3Ho states located under n=3 observe the rule 1.

nuclear science

Resonance Parameters, Autoionisation of &amp;lt;sup&amp;gt;2S+1&amp;lt;/sup&amp;gt;L&amp;lt;sup&amp;gt;o&amp;lt;/sup&amp;gt; Doubly Excited N&amp;lt;sup&amp;gt;5+&amp;lt;/sup&amp;gt; Ion States Associated with n=3 and 4, N&amp;lt;sup&amp;gt;6+&amp;lt;/sup&amp;gt; Threshold