Through a series of quantum fluctuations, the particles of light (a.k.a. photons) interact with gluons — gluelike particles that hold quarks together within the protons and neutrons of nuclei. Those interactions produce an intermediate particle that quickly decays into two differently charged “pions” (π). By measuring the velocity and angles at which these π⁺ and π^– particles strike RHIC’s STAR detector, the scientists can backtrack to get crucial information about the photon — and use that to map out the arrangement of gluons within the nucleus with higher precision than ever before.

“This technique is similar to the way doctors use positron emission tomography (PET scans) to see what’s happening inside the brain and other body parts,” said former Brookhaven Lab physicist James Daniel Brandenburg, a member of the STAR collaboration who joined The Ohio State University as an assistant professor in January 2023. “But in this case, we’re talking about mapping out features on the scale of femtometers — quadrillionths of a meter — the size of an individual proton.”

Even more amazing, the STAR physicists say, is the observation of an entirely new kind of quantum interference that makes their measurements possible.

“We measure two outgoing particles and clearly their charges are different — they are different particles — but we see interference patterns that indicate these particles are entangled, or in sync with one another, even though they are distinguishable particles,” said Brookhaven physicist and STAR collaborator Zhangbu Xu.

That discovery may have applications well beyond the lofty goal of mapping out the building blocks of matter.

For example, many scientists, including those awarded the 2022 Nobel Prize in Physics, are seeking to harness entanglement — a kind of “awareness” and interaction of physically separated particles. One goal is to create significantly more powerful communication tools and computers than exist today. But most other observations of entanglement to date, including a recent demonstration of interference of lasers with different wavelengths, have been between photons or identical electrons.

“This is the first-ever experimental observation of entanglement between dissimilar particles,” Brandenburg said.

The work is described in a paper just published in Science Advances.

Shining a light on gluons

RHIC operates as a DOE Office of Science user facility where physicists can study the innermost building blocks of nuclear matter — the quarks and gluons that make up protons and neutrons. They do this by smashing together the nuclei of heavy atoms such as gold traveling in opposite directions around the collider at close to the speed of light. The intensity of these collisions between nuclei (also called ions) can “melt” the boundaries between individual protons and neutrons so scientists can study the quarks and gluons as they existed in the very early universe — before protons and neutrons formed.

But nuclear physicists also want to know how quarks and gluons behave within atomic nuclei as they exist today — to better understand the force that holds these building blocks together.

A recent discovery using “clouds” of photons that surround RHIC’s speeding ions suggests a way to use these particles of light to get a glimpse inside the nuclei. If two gold ions pass one another very closely without colliding, the photons surrounding one ion can probe the internal structure of the other.

“In that earlier work, we demonstrated that those photons are polarized, with their electric field radiating outward from the center of the ion. And now we use that tool, the polarized light, to effectively image the nuclei at high energy,” Xu said.

The quantum interference observed between the π⁺ and π^– in the newly analyzed data makes it possible to measure the photons’ polarization direction very precisely. That in turn lets physicists look at the gluon distribution both along the direction of the photon’s motion and perpendicular to it.

That two-dimensional imaging turns out to be very important.

“All past measurements, where we didn’t know the polarization direction, measured the density of gluons as an average — as a function of the distance from the center of the nucleus,” Brandenburg said. “That’s a one-dimensional image.”

Those measurements all came out making the nucleus look too big when compared with what was predicted by theoretical models and measurements of the distribution of charge in the nucleus.

“With this 2D imaging technique, we were able to solve the 20-year mystery of why this happens,” Brandenburg said.

The new measurements show that the momentum and energy of the photons themselves gets convoluted with that of the gluons. Measuring just along the photon’s direction (or not knowing what that direction is) results in a picture distorted by these photon effects. But measuring in the transverse direction avoids the photon blurring.

“Now we can take a picture where we can really distinguish the density of gluons at a given angle and radius,” Brandenburg said. “The images are so precise that we can even start to see the difference between where the protons are and where the neutrons are laid out inside these big nuclei.”

The new pictures match up qualitatively with the theoretical predictions using gluon distribution, as well as the measurements of electric charge distribution within the nuclei, the scientists say.

Details of the measurements

To understand how the physicists make these 2D measurements, let’s step back to the particle generated by the photon-gluon interaction. It’s called a rho, and it decays very quickly — in less than four septillionths of a second — into the π⁺ and π^–. The sum of the momenta of those two pions gives physicists the momentum of the parent rho particle — and information that includes the gluon distribution and the photon blurring effect.

To extract just the gluon distribution, the scientists measure the angle between the path of either the π⁺ or π^– and the rho’s trajectory. The closer that angle is to 90 degrees, the less blurring you get from the photon probe. By tracking pions that come from rho particles moving at a range of angles and energies, the scientists can map out the gluon distribution across the entire nucleus.

Now for the quantum quirkiness that makes the measurements possible — the evidence that the π⁺ and π^– particles striking the STAR detector result from interference patterns produced by the entanglement of these two dissimilar oppositely charged particles.

Keep in mind that all the particles we are talking about exist not just as physical objects but also as waves. Like ripples on the surface of a pond radiating outward when they strike a rock, the mathematical “wavefunctions” that describe the crests and troughs of particle waves can interfere to reinforce or cancel one another out.

When the photons surrounding two near-miss speeding ions interact with gluons inside the nuclei, it’s as if those interactions actually generate two rho particles, one in each nucleus. As each rho decays into a π⁺ and π^–, the wavefunction of the negative pion from one rho decay interferes with the wavefunction of the negative pion from the other. When the reinforced wavefunction strikes the STAR detector, the detector sees one π^–. The same thing happens with the wavefunctions of the two positively charged pions, and the detector sees one π⁺.

“The interference is between two wavefunctions of the identical particles, but without the entanglement between the two dissimilar particles — the π⁺ and π^– — this interference would not materialize,” said Wangmei Zha, a STAR collaborator at the University of Science and Technology of China, and one of the original proponents of this explanation. “This is the weirdness of quantum mechanics!”

Could the rhos simply be entangled? The scientists say no. The rho particle wavefunctions originate at a distance 20 times the distance they could travel within their short lifetime, so they cannot interact with each other before they decay to π⁺ and π^–. But the wavefunctions of the π⁺ and π^– from each rho decay retain the quantum information of their parent particles; their crests and troughs are in phase, “aware of each other,” despite striking the detector meters apart.

“If the π⁺ and π^– were not entangled, the two π⁺ (or π^–) wavefunctions would have a random phase, without any detectable interference effect,” said Chi Yang, a STAR collaborator from Shandong University in China, who also helped lead the analysis for this result. “We wouldn’t see any orientation related to the photon polarization — or be able to make these precision measurements.”

Future measurements at RHIC with heavier particles and different lifetimes — and at an Electron-Ion Collider (EIC) being built at Brookhaven — will probe more detailed distributions of gluons inside nuclei and test other possible quantum interference scenarios.

This work was funded by the DOE Office of Science, the U.S. National Science Foundation, and a range of international agencies spelled out in the published paper. The STAR team used computational resources at the RHIC and ATLAS Computing Facility/Scientific Data and Computing Center at Brookhaven Lab, the National Energy Research Scientific Computing Center (NERSC) — a DOE Office of Science user facility at Lawrence Berkeley National Laboratory — and the Open Science Grid consortium.

Their study, published this week in Nature, suggests climate warming could reduce organic carbon burial and increase the amount of carbon that’s returned to the atmosphere, because warmer ocean temperatures could increase the metabolic rates of bacteria.

Researchers from Rice University, Texas A&M University, the University of Leeds and the University of Bremen analyzed data from drilled cores of muddy seafloor sediments that were gathered during 81 of the more than 1,500 shipboard expeditions mounted by the International Ocean Discovery Program (IODP) and its predecessors. Their study provides the most detailed accounting to date of organic carbon burial over the past 30 million years, and it suggests scientists have much to learn about the dynamics of Earth’s long-term carbon cycle.

“What we’re finding is that burial of organic carbon is very active,” said study co-author Mark Torres of Rice. “It changes a lot, and it responds to the Earth’s climatic system much more than scientists previously thought.”

The paper’s corresponding author, Texas A&M oceanographer Yige Zhang, said, “If our new records turn out to be right, then they’re going to change a lot of our understanding about the organic carbon cycle. As we warm up the ocean, it will make it harder for organic carbon to find its way to be buried in the marine sediment system.”

Carbon is the main component of life, and carbon constantly cycles between Earth’s atmosphere and biosphere as plants and animals grow and decompose. Carbon can also cycle through the Earth on a journey that takes millions of years. It begins at tectonic subduction zones where the relatively thin tectonic plates atop oceans are dragged down below thicker plates that sit atop continents. Downward diving oceanic crust heats up as it sinks, and most of its carbon returns to the atmosphere as carbon dioxide (CO₂) from volcanoes.

Scientists have long studied the amount of carbon that gets buried in ocean sediments. Drilled cores from the ocean floor contain layers of sediments laid down over tens of millions of years. Using radiometric dating and other methods, researchers can determine when specific sediments were laid down. Scientists can also learn a lot about past conditions on Earth by studying minerals and microscopic skeletons of organisms trapped in sediments.

“There are two isotopes of carbon — carbon-12 and carbon-13,” said Torres, an assistant professor in Rice’s Department of Earth, Environmental and Planetary Sciences. “The difference is just one neutron. So carbon-13 is just a bit heavier.

“But life is lazy, and if something’s heavier — even that tiny bit — it’s harder to move,” Torres said. “So life prefers the lighter isotope, carbon-12. And if you grow a plant and give it CO₂, it will actually preferentially take up the lighter isotope. That means the ratio of carbon-13 to -12 in the plant is going to be lower — contain less 13 — than in the CO₂ you fed the plant.”

For decades scientists have used isotopic ratios to study the relative amounts of inorganic and organic carbon that was undergoing burial at specific points in Earth’s history. Based on those studies and computational models, Torres said scientists have largely believed the amount of carbon undergoing burial had changed very little over the past 30 million years.

Zhang said, “We had this idea of using the actual data and calculating their organic carbon burial rates to come up with the global carbon burial. We wanted to see if this ‘bottom-up’ method agreed with the traditional method of isotopic calculations, which is more ‘top down.'”

The job of compiling data from IODP expeditions fell to study first author, Ziye Li of Bremen, who was then a visiting student in Zhang’s lab at A&M.

Zhang said the study findings were shocking.

“Our new results are very different — they’re the opposite of what the isotope calculations are suggesting,” he said.

Zhang said this is particularly the case during a period called the mid-Miocene, about 15 million years ago. Conventional scientific wisdom held that a large amount of organic carbon was buried around this interval, exemplified by the organic-rich “Monterey Formation” in California. The team’s findings suggest instead that the smallest amount of organic carbon was buried during this interval over the last 23 million years or so.

He described the team’s paper as the beginning of a potentially impactful new way to analyze data that may aid in understanding and addressing climate change.

“It’s people’s curiosity, but I also want to make it more informative about what’s going to happen in the future,” Zhang said. “We’re doing several things quite creatively to really use paleo data to inform us about the present and future.”

The research was supported by the American Chemical Society’s Petroleum Research Fund (59797-DNI2). On behalf of the National Science Foundation, Texas A&M has served as the science operator of the IODP drill ship JOIDES Resolution for the past 36 years as part of the largest federal research grant currently managed by the university.

The nagging question for astronomers has been: how did the stars get so scattered throughout the cluster in the first place? Several competing theories include the possibility that the stars were stripped out of a cluster’s galaxies, or they were tossed around after mergers of galaxies, or they were present early in a cluster’s formative years many billions of years ago.

A recent infrared survey from NASA’s Hubble Space Telescope, which looked for this so-called “intracluster light,” sheds new light on the mystery. The new Hubble observations suggest that these stars have been wandering around for billions of years, and are not a product of more recent dynamical activity inside a galaxy cluster that would strip them out of normal galaxies.

The survey included 10 galaxy clusters as far away as nearly 10 billion light-years. These measurements must be made from space because the faint intracluster light is 10,000 times dimmer than the night sky as seen from the ground.

The survey reveals that the fraction of the intracluster light relative to the total light in the cluster remains constant, looking over billions of years back into time. “This means that these stars were already homeless in the early stages of the cluster’s formation,” said James Jee of Yonsei University in Seoul, South Korea. His results are being published in the January 5 issue of Nature magazine.

Stars can be scattered outside of their galactic birthplace when a galaxy moves through gaseous material in the space between galaxies, as it orbits the center of the cluster. In the process, drag pushes gas and dust out of the galaxy. However, based on the new Hubble survey, Jee rules out this mechanism as the primary cause for the intracluster star production. That’s because the intracluster light fraction would increase over time to the present if stripping is the main player. But that is not the case in the new Hubble data, which show a constant fraction over billions of years.

“We don’t exactly know what made them homeless. Current theories cannot explain our results, but somehow they were produced in large quantities in the early universe,” said Jee. “In their early formative years, galaxies might have been pretty small and they bled stars pretty easily because of a weaker gravitational grasp.”

“If we figure out the origin of intracluster stars, it will help us understand the assembly history of an entire galaxy cluster, and they can serve as visible tracers of dark matter enveloping the cluster,” said Hyungjin Joo of Yonsei University, the first author of the paper. Dark matter is the invisible scaffolding of the universe, which holds galaxies, and clusters of galaxies, together.

If the wandering stars were produced through a comparatively recent pinball game among galaxies, they would not have enough time to scatter throughout the entire gravitational field of the cluster and therefore would not trace the distribution of the cluster’s dark matter. But if the stars were born in the cluster’s early years, they will have fully dispersed throughout the cluster. This would allow astronomers to use the wayward stars to map out the dark matter distribution across the cluster.

This technique is new and complementary to the traditional method of dark matter mapping by measuring how the entire cluster warps light from background objects due to a phenomenon called gravitational lensing.

Intracluster light was first detected in the Coma cluster of galaxies in 1951 by Fritz Zwicky, who reported that one of his most interesting discoveries was observing luminous, faint intergalactic matter in the cluster. Because the Coma cluster, containing at least 1,000 galaxies, is one of the nearest clusters to Earth (330 million light-years), Zwicky was able to detect the ghost light even with a modest 18-inch telescope.

NASA’s James Webb Space Telescope’s near-infrared capability and sensitivity will greatly extend the search for intracluster stars deeper into the universe, and therefore should help solve the mystery.