# Focus: Landmarks—Matter and Antimatter are Not So Symmetric

Published November 8, 2013  |  Physics 6, 122 (2013)  |  DOI: 10.1103/Physics.6.122

#### Evidence for the $2\pi$ Decay of the $K_{2}^{}{}_{}{}^{0}$ Meson

J. H. Christenson, J. W. Cronin, V. L. Fitch, and R. Turlay

Published July 27, 1964

Landmarks articles feature important papers from the archives of the Physical Review journals.

Symmetry has been a guiding theoretical principle for particle physicists, but in a few cases, nature has turned out not to be as symmetric as expected. The 1964 discovery of the violation of $C\phantom{\rule{0}{0ex}}P$ symmetry—which involves the relationship between matter and antimatter—was a particularly awkward intrusion that even today represents something of a theoretical enigma. Published in Physical Review Letters nearly $50$ years ago, the Nobel-Prize-winning discovery hinted at an answer to one of the most important questions in cosmology: why is there is so little antimatter in the universe?

In the early 1950s, physicists faced an odd puzzle involving the neutral $K$ meson, or kaon, and its antiparticle. Through a process involving the weak interaction, the kaon could turn into the antikaon, and vice versa, which seemed to mean that they were not true elementary particle states. So theorists defined new particles: ${K}_{1}$ was the sum of the kaon and antikaon states, and ${K}_{2}$ was the difference.

At that time, the laws of physics were thought to be exactly the same for matter and antimatter. This principle, known as charge conjugation symmetry, or $C$, led through some simple arguments to the prediction that ${K}_{1}$ could decay into two pions, but ${K}_{2}$ could not. ${K}_{2}$ could only decay in more complex ways, for example into three pions. This decay would be less common, so ${K}_{2}$ would be longer lived than ${K}_{1}$. In line with the predictions, experiments showed that ${K}_{2}$ was longer lived and mainly decayed into three pions, although a small number of two-pion decays would not have been noticed.

Then a new problem arose. An experiment reported in 1957 showed that the weak interaction does not obey mirror-reversal symmetry, or $P$, for parity (see 2 December 2008 Focus Landmark), and physicists soon realized that if $P$ was not respected then neither was $C$, potentially upsetting the ${K}_{1}$-${K}_{2}$ model. But there was an out: if the combined symmetry $C\phantom{\rule{0}{0ex}}P$ was strictly observed, the original model would be preserved, and as before, ${K}_{2}$ could not decay into two pions.

James Cronin and Valentine Fitch of Princeton University, along with their collaborators, put that prediction to the test. Using the Alternating Gradient Synchrotron at Brookhaven National Laboratory on Long Island, they slammed protons into a beryllium target to generate a mixture of ${K}_{1}$ and ${K}_{2}$ mesons. The ${K}_{1}$’s decayed quickly, leaving a beam of ${K}_{2}$’s.

In among the expected three-pion ${K}_{2}$ decays, the Princeton team found a small number of two-pion decays. They concluded that about two in every $1000$ ${K}_{2}$ decays produced pairs of pions, violating $C\phantom{\rule{0}{0ex}}P$ symmetry. Cronin and Fitch won the 1980 Nobel prize in physics for their discovery.

$C\phantom{\rule{0}{0ex}}P$ violation was a surprise, and an irksome one, says Lincoln Wolfenstein of Carnegie-Mellon University in Pittsburgh. “The fact that it was very small, with no other examples, left us wondering whether this was some annoying little effect, not a grand piece of physics.” It was not until 1973 that theorists found a way even to accommodate $C\phantom{\rule{0}{0ex}}P$ violation in particle physics models [1]. However, the 1973 theory did not gain acceptance for some time, because it required a third “generation” of elementary particles, in addition to the two that were then known. Those predicted particles, including the top quark and the tau neutrino, were observed over the following 20 years.

$C\phantom{\rule{0}{0ex}}P$ symmetry implies equivalence of particle reactions and their mirror-image, antiparticle versions. $C\phantom{\rule{0}{0ex}}P$ violation forced theorists to accept that nature has no absolute matter-antimatter symmetry, so that matter and antimatter are not quite equivalent. The silver lining is that a small imbalance between the amount of matter and antimatter in the early universe can explain why there is so little antimatter today: after all the antimatter annihilated with matter, a small amount of matter remained. However, the measured magnitude of $C\phantom{\rule{0}{0ex}}P$ violation is far too small to account for the observed cosmic density of matter, so experimentalists continue to study the effect in other particles, such as $B$ mesons. In fact there is still no explanation for the magnitude of $C\phantom{\rule{0}{0ex}}P$ violation, Wolfenstein says. “There are a lot of random numbers in our theories.”

–David Lindley

David Lindley is a freelance writer in Alexandria, Virginia, and author of Uncertainty: Einstein, Heisenberg, Bohr and the Struggle for the Soul of Science (Doubleday, 2007).

### References

1. Makoto Kobayashi and Toshihide Maskawa, “CP-Violation in the Renormalizable Theory of Weak Interaction,” Prog. Theor. Phys. 49, 652 (1973).