How Long Can a Neutron Live? Depends on Who You Ask

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When physicists strip neutrons from atomic nuclei, put them in a bottle, then count how many remain there after some time, they infer that neutrons radioactively decay in 14 minutes and 39 seconds, on average. But when other physicists generate beams of neutrons and tally the emerging protons—the particles that free neutrons decay into—they peg the average neutron lifetime at around 14 minutes and 48 seconds.

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Original story reprinted with permission from Quanta Magazine, an editorially independent publication of the Simons Foundation whose mission is to enhance public understanding of science by covering research developments and trends in mathematics and the physical and life sciences.

The discrepancy between the “bottle” and “beam” measurements has persisted since both methods of gauging the neutron’s longevity began yielding results in the 1990s. At first, all the measurements were so imprecise that nobody worried. Gradually, though, both methods have improved, and still they disagree. Now, researchers at Los Alamos National Laboratory in New Mexico have made the most precise bottle measurement of the neutron lifetime yet, using a new type of bottle that eliminates possible sources of error in earlier designs. The result, which will soon appear in the journal Science, reinforces the discrepancy with beam experiments and increases the chance that it reflects new physics rather than mere experimental error.

But what new physics? In January, two theoretical physicists put forward a thrilling hypothesis about the cause of the discrepancy. Bartosz Fornal and Benjamin Grinstein of the University of California, San Diego, argued that neutrons might sometimes decay into dark matter—the invisible particles that seem to make up six-sevenths of the matter in the universe based on their gravitational influence, while evading decades of experimental searches. If neutrons sometimes transmogrify into dark matter particles instead of protons, then they would disappear from bottles at a faster rate than protons appear in beams, exactly as observed.

The UCNtau experiment at Los Alamos National Laboratory, which uses the “bottle method” to measure the neutron lifetime.

UCNtau

Fornal and Grinstein determined that, in the simplest scenario, the hypothetical dark matter particle’s mass must fall between 937.9 and 938.8 mega-electron volts, and that a neutron decaying into such a particle would emit a gamma ray of a specific energy. “This is a very concrete signal that experimentalists can look for,” Fornal said in an interview.

The UCNtau experimental team in Los Alamos—named for ultracold neutrons and tau, the Greek symbol for the neutron lifetime—heard about Fornal and Grinstein’s paper last month, just as they were gearing up for another experimental run. Almost immediately, Zhaowen Tang and Chris Morris, members of the collaboration, realized they could mount a germanium detector onto their bottle apparatus to measure gamma-ray emissions while neutrons decayed inside. “Zhaowen went off and built a stand, and we got together the parts for our detector and put them up next to the tank and started taking data,” Morris said.

Data analysis was similarly quick. On Feb. 7, just one month after Fornal and Grinstein’s hypothesis appeared, the UCNtau team reported the results of their experimental test on the physics preprint site arxiv.org: They claim to have ruled out the presence of the telltale gamma rays with 99 percent certainty. Commenting on the outcome, Fornal noted that the dark matter hypothesis is not entirely excluded: A second scenario exists in which the neutron decays into two dark matter particles, rather than one of them and a gamma ray. Without a clear experimental signature, this scenario will be far harder to test. (Fornal and Grinstein’s paper, and the UCNtau team’s, are now simultaneously under review for publication in Physical Review Letters.)

The proton detector at the National Institute of Standards and Technology used in the “beam method.”

NIST

So there’s no evidence of dark matter. Yet the neutron lifetime discrepancy is stronger than ever. And whether free neutrons live 14 minutes and 39 or 48 seconds, on average, actually matters.

Physicists need to know the neutron’s lifetime in order to calculate the relative abundances of hydrogen and helium that would have been produced during the universe’s first few minutes. The faster neutrons decayed to protons in that period, the fewer would have existed later to be incorporated into helium nuclei. “That balance of hydrogen and helium is first of all a very sensitive test of the dynamics of the Big Bang,” said Geoffrey Greene, a nuclear physicist at the University of Tennessee and Oak Ridge National Laboratory, “but it also tells us how stars are going to form over the next billions of years,” since galaxies with more hydrogen form more massive, and eventually more explosive, stars. Thus, the neutron lifetime affects predictions of the universe’s far future.

Furthermore, both neutrons and protons are actually composites of elementary particles called quarks that are held together by gluons. Outside of stable atomic nuclei, neutrons decay when one of their down quarks undergoes weak nuclear decay into an up quark, transforming the neutron into a positively charged proton and spitting out a negative electron and an antineutrino in compensation. Quarks and gluons can’t themselves be studied in isolation, which makes neutron decays, in Greene’s words, “our best surrogate for the elementary quark interactions.”

The lingering nine-second uncertainty in the neutron lifetime needs resolving for these reasons. But no one has a clue what’s wrong. Greene, who is a veteran of beam experiments, said, “All of us have gone over very carefully everybody’s experiment, and if we knew where the problem was we would identify it.”

The discrepancy…

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