As far as I am aware nuclear powered bombers were the first attempt by the USSR and USA (either unintentional or not) at enhanced nuclear deterrence. Intending to place a nuclear reactor in a plane armed with nuclear bombs aloft for weeks at a time, serving as an every ready nuclear option (compared to the slower conventional bombers of the time).
Due to failure to contain the nuclear radiation of the reactor, the introduction of the more practical ICBMs and nuclear submarines, and other issues - such a vehicle was never successfully made or utilized.
However, if this series of nuclear weapons had been successfully deployed - would it have changed the course of the Cold War in any meaningful way?
Is there any reason to believe the side to first develop this technology would have had any notable advantage? Would civilian life be any different with nuclear powered bombers flying overhead?
Or perhaps would it have just accelerated the introduction of existing concepts like mutually assured destruction?