| | Re: what kind of cell death is it called when neutrophil destroy bacteria
I'm not entirely clear on what exactly you are asking - are you asking for what the death of the bacteria is called or that of the neutrophil?
Neutrophils kill bacteria in two ways. They internalize bacteria into a membrane-bound compartment, and then kill the bacteria by filling that compartment full of toxic chemicals and enzymes that degrade the bacteria. That process is called "phagocytosis". Neutrophils also release anti-bacterial components into areas of infection, which can kill bacteria outside of the neutrophil. I do not believe that either of those methods cause a named form of death in the bacteria, although both processes generally result in lysis of the bacteria.
Neutrophils that have engaged and killed bacteria usually die through apoptosis, in order to prevent additional inflammation (necrosis tends to be inflammatory). The resulting apoptotic bodies are taken up and destroyed by macrophage.
Some bacteria can escape the phagocytic process, and in doing so may cause the necrotic death of neutrophils. This form of neutrophil death is an exception, and is a result of neutrophils failing to kill the bacteria.
Finally, every day our body rids itself of billions of 'old' neutrophils (old, for a neutrophil, is 12-18 hours after release from the bone marrow). These neutrophils travel to the gut, and perhaps back to the bone marrow, where they undergo apoptosis and are reasorbed by our bodies.