Any apoptotic process in a neutrophil, any of the immature or mature forms of a granular leukocyte that in its mature form has a nucleus with three to five lobes connected by slender threads of chromatin, and cytoplasm containing fine inconspicuous granules and stainable by neutral dyes. [ GOC:add http://www.ncbi.nlm.nih.gov/pubmed/12960266 http://www.ncbi.nlm.nih.gov/pubmed/12752675 http://purl.obolibrary.org/obo/CL_0000775 GOC:mtg_apoptosis ]