A Personal Adventure in Muon-Catalyzed Fusion

Abstract

Luis Alvarez and colleagues discovered muon-catalyzed fusion of hydrogen isotopes by chance in late 1956. On sabbatical leave at Princeton University during that year, I read the first public announcement of the discovery at the end of December in that wellknown scientific journal, The New York Times. A nuclear theorist by prior training, I was intrigued enough in the phenomenon to begin some calculations. I describe my work here, my interaction with Alvarez, and a summary of the surprising developments, both before and after Alvarez's discovery. The rare proton-deuteron (p-d) fusion events in Alvarez's liquid-hydrogen bubble chamber occurred only because of the natural presence of a tiny amount of deuterium (heavy hydrogen). Additionally, the fusion rate, once the proton-deuteron-muon (pdl -) molecular ion has been formed, is sufficiently slow that only rarely does an additional catalytic act occur. A far different situation occurs for muons stopping in pure deuterium or a deuterium-tritium (d-t) mixture where the fusion rates are many orders of magnitude larger and the molecular-formation rates are large compared to the muon's decay rate. The intricate interplay of atomic, molecular, and nuclear science, together with highly fortuitous accidents in the molecular dynamics and the hope of practical application, breathed life into a seeming curiosity. A small but vigorous worldwide community has explored these myriad phenomena in the past 50 years.

Are claims of cheap muon production correct?

“…Muon catalyzed fusion was first observed in 1956 in a serendipitous discovery [4,5] in a bubble chamber filled with liquid hydrogen, contaminated by small amounts of deuterium. From the point of view of fundamental physics, the involved phenomena are all well-understood and well-established.…”