While protons populate the nucleus of every atom in the universe, sometimes they can be squeezed into a smaller size and slip out of the nucleus for a romp on their own. Observing these squeezed protons may offer unique insights into the particles that build our universe.

Now, researchers hunting for these squeezed protons at the U.S. Department of Energy’s Thomas Jefferson National Accelerator Facility have come up empty handed, suggesting there’s more to the phenomenon than first thought. The result was recently published in Physical Review Letters.

“We were looking to squeeze the proton such that its quarks are in a small-size configuration. And that’s a pretty tough thing to do,” said Holly Szumila-Vance, a Jefferson Lab staff scientist.

Protons are made of three quarks bound up by the strong force. In an ordinary proton, the strong force is so strong that it leaks out, making the proton stick to other protons and neutrons around it in the nucleus. That’s according to quantum chromodynamics, or QCD, the theory that describes how quarks and the strong force interact. In QCD, the strong force is also referred to as the color force.

However, QCD also predicts that the proton can be squeezed such that the quarks become more tightly knit — essentially wrapping themselves up so tightly in the color force that it no longer leaks out of the proton. When that happens, the proton no longer sticks to other particles and can move freely through the nucleus. This phenomenon is called “color transparency,” since the proton has become invisible to the color force of the particles around it.

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“It’s a fundamental prediction of quantum chromodynamics, the theory that describes these particles,” Szumila-Vance explained.

An earlier experiment showed color transparency in simpler particles made of quarks called pions. Where protons have three quarks, pions have just two. In addition, another experiment conducted with protons had also suggested that protons also may exhibit color transparency at energies well within reach of the recently upgraded facility at Jefferson Lab.

“We expected to find the protons squeezed just like the pions,” said Dipangkar Dutta, a professor at Mississippi State University and a spokesperson for the experiment. “But we went to higher and higher energies and are still not finding them.”

The experiment was one of the first to run in the Continuous Electron Beam Accelerator Facility, a DOE Office of Science User Facility, following its 12 GeV upgrade. In the experiment, the nuclear physicists directed high-energy electrons from CEBAF into the nuclei of carbon atoms. They then measured the outgoing electrons and any protons that came out.

“This was an exciting experiment to be a part of. It was the first experiment to run in Experimental Hall C after we upgraded the hall for 12 GeV running,” said Szumila-Vance. “These were the highest-momentum protons measured at Jefferson Lab, and the highest-momentum protons ever produced by electron scattering.”

“At the energies we are probing, the proton is usually decimated, and you’re looking at the debris of the proton,” Dutta explained. “But in our case, we want the proton to stay a proton, and the only way that that can happen is if the quarks kind of squeeze together, hold each other much more tightly so that they can escape together from the nucleus.”

While the nuclear physicists observed several thousand protons in the experiment, they did not find the tell-tale signs of color transparency in the new data.

“I think this tells us that the proton is more complicated than we expected,” said Szumila-Vance. “This is a fundamental prediction of the theory. We know that it has to exist at some high energy, but just don’t yet know where that will happen.”

The researchers said the next step is to better understand the phenomenon in simpler particles where it has already been observed, so that improved predictions can be made for more complex particles, such as protons.


Provided by: Thomas Jefferson National Accelerator Facility

More information: D. Bhetuwal et al. Ruling out Color Transparency in Quasielastic C12(e,e′p) up to Q2 of 14.2 (GeV/c)2Physical Review Letters (2021). DOI: 10.1103/PhysRevLett.126.082301

Image: A new experiment used high-energy electrons to knock out protons from within a carbon nucleus in search of “squeezed protons”. These are protons that are “squeezed” such that their constituent quarks are in a small size configuration, allowing them to slip out of the nucleus without interacting with other protons or neutrons, an effect called color transparency. The new experiment pushed the measurements to the highest speeds ever explored with electrons, but found that the knocked-out protons behave just as ordinary protons.
Credit: DOE’s Jefferson Lab