I understand that in nuclear fusion, the colliding particle unites with the parent and fuses into a single nucleus with a higher mass. Sometimes other small particles (n, p) are given off.
However, that is not the case for the reaction:
$ _{14}^{7}\textrm{N}+_{1}^{0}\textrm{n}\rightarrow _{14}^{6}\textrm{C}+{_{1}^{1}\textrm{H}}$
If so, why would you still consider it as a nuclear fusion? I have come up with a theory that it is because the carbon has an extra neutron than Nitrogen. Is this correct?