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              <p>Although chemical models predict that the deuterium fractionation in N&lt;SUB&gt;2&lt;/SUB&gt;H&lt;SUP&gt;+&lt;/SUP&gt; is a good evolutionary tracer in the star formation process, the fractionation of nitrogen is still a poorly understood process. Recent models have questioned the similar evolutionary trend expected for the two fractionation mechanisms in N&lt;SUB&gt;2&lt;/SUB&gt;H&lt;SUP&gt;+&lt;/SUP&gt;, based on a classical scenario in which ion-neutral reactions occurring in cold gas should have caused an enhancement of the abundance of N&lt;SUB&gt;2&lt;/SUB&gt;D&lt;SUP&gt;+, 15&lt;/SUP&gt;NNH&lt;SUP&gt;+&lt;/SUP&gt;, and N&lt;SUP&gt;15&lt;/SUP&gt;NH&lt;SUP&gt;+&lt;/SUP&gt;. In the framework of the ASAI IRAM-30m large program, we have investigated the fractionation of deuterium and &lt;SUP&gt;15&lt;/SUP&gt;N in N&lt;SUB&gt;2&lt;/SUB&gt;H&lt;SUP&gt;+&lt;/SUP&gt; in the best known representatives of the different evolutionary stages of the Sun-like star formation process. The goal is to ultimately confirm (or deny) the classical `ion-neutral reactions' scenario that predicts a similar trend for D and &lt;SUP&gt;15&lt;/SUP&gt;N fractionation. We do not find any evolutionary trend of the &lt;SUP&gt;14&lt;/SUP&gt;N/&lt;SUP&gt;15&lt;/SUP&gt;N ratio from both the &lt;SUP&gt;15&lt;/SUP&gt;NNH&lt;SUP&gt;+&lt;/SUP&gt; and N&lt;SUP&gt;15&lt;/SUP&gt;NH&lt;SUP&gt;+&lt;/SUP&gt; isotopologues. Therefore, our findings confirm that, during the formation of a Sun-like star, the core evolution is irrelevant in the fractionation of &lt;SUP&gt;15&lt;/SUP&gt;N. The independence of the &lt;SUP&gt;14&lt;/SUP&gt;N/&lt;SUP&gt;15&lt;/SUP&gt;N ratio with time, found also in high-mass star-forming cores, indicates that the enrichment in &lt;SUP&gt;15&lt;/SUP&gt;N revealed in comets and protoplanetary discs is unlikely to happen at core scales. Nevertheless, we have firmly confirmed the evolutionary trend expected for the H/D ratio, with the N&lt;SUB&gt;2&lt;/SUB&gt;H&lt;SUP&gt;+&lt;/SUP&gt;/N&lt;SUB&gt;2&lt;/SUB&gt;D&lt;SUP&gt;+&lt;/SUP&gt; ratio decreasing before the pre-stellar core phase, and increasing monotonically during the protostellar phase. We have also confirmed clearly that the two fractionation mechanisms are not related.</p>
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