Cooling and the Formation of Fundamental Particles
Linas JuozėnasShare
Knowledge Ark · Universe · The Grand Beginning
How cooling made protons possible.
Before atoms, before nuclei, the hot universe contained a plasma of quarks and gluons. As it cooled, a different description of matter took over: quarks confined within hadrons, including the protons and neutrons at the heart of ordinary matter.
A change in how matter could exist.
Much of the mass of everyday objects lies in atomic nuclei. To understand their origin, we must look far earlier than atoms—to the era when protons and neutrons could emerge from hot, strongly interacting matter.
This stage did not first create the fundamental quarks. It assembled them into composite particles. The distinction matters: quarks and gluons belong to the underlying particle theory, while protons, neutrons, and other hadrons are structures described by that theory.[1]
What was the quark–gluon plasma?
The strong interaction is described by quantum chromodynamics, or QCD. Its quarks and gluons carry a property called color charge. At sufficiently high temperatures, strongly interacting matter is better described by a quark–gluon plasma than by a collection of familiar, separate hadrons.[2]
In this deconfined state, quarks and gluons are not restricted to individual protons or neutrons. Deconfined does not mean noninteracting: calculations show substantial departures from ideal-gas behavior even above the crossover temperature.[2]
The plasma’s collective behavior is one reason it is so interesting. Heavy-ion measurements indicate a medium that flows with very low viscosity, quite unlike an ideal collection of independently moving particles.[3]
A smooth transition as the universe cooled
In the standard thermal history, the QCD transition occurred when the universe was of order ten microseconds old—around one hundred-thousandth of a second. This is an approximate age inferred from the expansion and thermal history, not a directly observed timestamp.[4]
Lattice QCD calculations place a characteristic crossover temperature near 155 MeV, equivalent to about 1.8 trillion kelvins. Here MeV expresses the thermal energy kBT. Because the transition is gradual, different physical indicators need not identify one perfectly sharp temperature.[5]
For physical quark masses and the very small baryon chemical potential relevant to the standard early universe, the transition is a smooth crossover. The dominant degrees of freedom change continuously. It is not the abrupt formation of bubbles expected from a first-order transition.[6]
Does temperature always fall exactly as 1/a?
The simple relation T ∝ 1/a works when the effective particle content of the thermal bath remains unchanged. More generally, approximately adiabatic expansion conserves entropy in a comoving volume: g*sT³a³ ≈ constant. Here a is the cosmic scale factor and g*s describes the effective entropy-carrying particle content. Changes near the QCD crossover modify the simple inverse-scaling picture.[7]
What makes a proton different from a neutron?
The familiar valence-quark description assigns two up quarks and one down quark to a proton, and one up and two down quarks to a neutron. Their fractional electric charges add to +1e and zero, respectively.[8]
Those additional components are physical, not decorative additions to the model. Experiments that probe proton structure reveal a quark–antiquark sea alongside its valence content. A proton is a dynamic quantum system whose internal behavior cannot be captured by a three-dot sketch.[9]
Protons and neutrons belong to the baryon family. Conventional mesons, such as pions, have quark–antiquark valence content. QCD also permits more complicated hadronic configurations; these simple compositions describe the familiar families rather than every possible hadron.[8]
More than the sum of three quark masses
Adding the small rest masses of a proton’s up and down quarks does not reproduce the proton’s mass. Most of that mass reflects the energy of the strongly interacting quantum system: quark and gluon dynamics make the composite object much heavier than the quark masses alone would suggest.[10]
This is an application of mass–energy equivalence. A system’s mass includes its internal energy; it is not merely an inventory of constituent rest masses. Lattice calculations reproduce the light-hadron mass spectrum from QCD, connecting the underlying theory to measured particle masses.[10]
Which particles survived the cooling?
Hadronization produced antibaryons as well as baryons. As cooling suppressed new pair production, annihilations depleted the matched populations. The small surviving excess of baryons became the main reservoir of ordinary nuclear matter.[4]
The origin of that excess is a separate question, explored in Matter vs. Antimatter. Proposed baryogenesis mechanisms explain how an asymmetry might arise, but no mechanism has been established. Standard hadronization reorganizes strongly interacting matter; it does not, by itself, explain why the universe contains more matter than antimatter.[12]
The universe was already radiation dominated during these early stages. Radiation here includes relativistic particles, not just photons. The QCD transition did not begin a new photon-dominated era; matter became dominant much later.[14]
Why the neutron-to-proton balance mattered
Neutrons are slightly heavier than protons. While weak reactions rapidly interconverted them, cooling favored a smaller neutron fraction. Around the first second, those reactions became too slow to maintain equilibrium. The often-quoted ratio near one neutron per six protons is an approximation to a gradual freeze-out process.[15]
A free neutron can undergo beta decay into a proton, an electron, and an electron antineutrino. Its half-life is about ten minutes; its mean lifetime is about fifteen minutes. These describe different features of the same exponential decay law.[16]
Efficient nuclear assembly began a few minutes later, once deuterium could survive the energetic photons that had previously broken it apart. Deuterium opened pathways to helium and other light nuclei. Continued expansion and cooling eventually made appreciable nuclear reactions inefficient.[13]
By the start of nuclear assembly, the neutron-to-proton ratio was roughly 1:7. Nearly all surviving neutrons entered helium-4, leaving about three quarters of ordinary-matter mass in hydrogen nuclei and one quarter in helium, plus traces of other light nuclei. These are mass fractions, not percentages of all cosmic energy.[15]
Deuterium and helium broadly support this Big Bang nucleosynthesis picture. Lithium inferred from old stars remains a notable discrepancy, so the agreement should not be described as perfect for every element.[17]
Neutral atoms became abundant much later, around the epoch of CMB last scattering. Nucleus-building and electron capture are separate processes; the first minutes did not produce a universe of neutral atoms.[14]
What heavy-ion collisions reveal
Colliding heavy nuclei can briefly produce very hot, dense strongly interacting matter. Researchers infer its properties from particles that leave the collision, comparing several observations with theory. The droplets are tiny and short-lived; they reproduce aspects of early-universe matter rather than the entire expanding cosmos.[3]
| Observation | What it probes |
|---|---|
| Collective flow | Correlated particle directions reveal how the medium responds to pressure gradients. Comparisons with fluid-dynamic models constrain its transport properties, including viscosity.[3] |
| Jet quenching | Energetic quarks and gluons lose energy as they traverse the medium. Changes in the resulting jets help reveal how the plasma interacts with fast particles.[3] |
Research context: September 2026. Major collision programs have produced datasets that remain central to this work.
RHIC at Brookhaven ended its collision program in February 2026; analysis of its measurements continues. Its long-running studies helped establish QGP’s collective behavior and opened tests across different collision energies.[18]
CERN’s accelerator complex entered Long Shutdown 3 in mid-2026 for upgrades. ALICE and other LHC collaborations continue research using their accumulated observations while preparing future measurements.[19]
The remaining questions in strong-interaction physics
Lattice QCD represents the theory on a spacetime grid and evaluates it numerically. By controlling grid spacing, volume, and quark-mass effects, researchers infer thermodynamic quantities such as pressure and energy density. These calculations connect microscopic QCD with the thermal history used in cosmology.[2]
The crossover at small net baryon density and the possible behavior of matter at much higher net baryon density are different questions. Heavy-ion energy scans search for signs of a critical point and a possible first-order transition at larger baryon chemical potential. A critical point has not been established; candidate fluctuation signals require careful comparison with backgrounds and collision dynamics.[20]
Claims about gravitational waves from a strongly first-order QCD transition require extra assumptions. For example, a sufficiently large primordial lepton-flavor asymmetry could change the trajectory through the QCD phase diagram. Such scenarios are conditional alternatives, not an automatic prediction of the standard smooth crossover.[21]
The practical challenge is to make theory and experiment meet more precisely: determine the medium’s properties, understand its conversion into hadrons, and distinguish genuine critical behavior from other sources of fluctuations.
The universe did not make atoms in one step. Cooling first changed how quarks and gluons could organize, making familiar hadrons possible. Later reactions built nuclei, and much later electrons joined them into neutral atoms. Those separate stages together opened the way to the ordinary matter around us.
Sources and further reading
Original studies, scientific reviews, and collaboration reports. Scientific context checked in September 2026. The illustrations are schematic. Particle colors are explanatory labels, and the timeline shows an approximate sequence rather than elapsed time to scale.
- Particle Data Group (2025), Quantum ChromodynamicsIntroduces quarks, gluons, color charge, and color-neutral hadrons.
- Bazavov et al., HotQCD Collaboration (2014), The equation of state in (2+1)-flavor QCDCalculates QCD thermodynamics and departures from ideal-gas behavior.
- ALICE Collaboration (2024), The ALICE experiment: a journey through QCDThe ALICE collaboration reviews its measurements of quark–gluon plasma, including collective motion, viscosity and jet energy loss.
- Dominik J. Schwarz (2003), The first second of the UniverseExplains early thermal history and the survival of a baryon excess after annihilation.
- Bazavov et al., HotQCD Collaboration (2019), Chiral crossover in QCD at zero and non-zero chemical potentialsDetermines a characteristic crossover temperature using lattice QCD.
- Aoki et al. (2006), The order of the quantum chromodynamics transition predicted by the standard model of particle physicsEstablishes the smooth QCD crossover for physical quark masses at negligible baryon chemical potential.
- Saikawa and Shirai (2018), Primordial gravitational waves, precisely: The role of thermodynamics in the Standard ModelRelates cosmic cooling to entropy conservation and changes in effective particle content.
- Amsler, Crede and DeGrand, Particle Data Group (2025), Quark ModelExplains conventional hadron families, quark charges, and more complex configurations.
- Dove et al., SeaQuest Collaboration (2021), The Asymmetry of Antimatter in the ProtonMeasures the proton’s antiquark sea and describes its richer internal structure.
- Dürr et al. (2008), Ab-initio Determination of Light Hadron MassesReproduces light-hadron masses from quark and gluon dynamics in lattice QCD.
- Particle Data Group (2024) — Electroweak Model and Constraints on New PhysicsDerives electroweak masses from the Higgs vacuum value, gauge couplings, and Yukawa interactions.
- Morrissey and Ramsey-Musolf (2012), Electroweak baryogenesisReviews proposed origins of the cosmic matter excess without identifying an established mechanism.
- Gary Steigman (2003), Big Bang Nucleosynthesis: Probing the First 20 MinutesExplains neutron–proton interconversion, the deuterium bottleneck, and the first minutes of nuclear assembly.
- Olive and Peacock, Particle Data Group (2025), Big-Bang CosmologyDistinguishes nuclear assembly, later neutral-atom formation, and CMB last scattering.
- Fields, Molaro and Sarkar — Particle Data Group (2026 edition), Big Bang NucleosynthesisExplains the neutron-to-proton ratio and the approximate primordial hydrogen–helium composition.
- Particle Data Group (2025) — Neutron particle listingLists the neutron mass, mean lifetime, and beta-decay channel.
- Yeh, Shelton, Olive and Fields (2022), Probing Physics Beyond the Standard Model: Limits from BBN and the CMB Independently and CombinedTests standard nucleosynthesis against deuterium, helium, and the unresolved lithium discrepancy.
- Brookhaven National Laboratory (19 August 2026), Physicists Celebrate World's Most Versatile Particle ColliderBrookhaven's retrospective describes RHIC's scientific legacy, its final collisions in February 2026 and the continuing value of its measurements.
- CERN (current page, checked 8 September 2026), Long Shutdown 3: The road to HiLumiCERN explains the maintenance and upgrades under way during Long Shutdown 3, which began in mid-2026.
- STAR Collaboration (2025), Precision Measurement of (Net-)proton Number Fluctuations in Au+Au Collisions at RHICSTAR measures proton-number fluctuations across collision energies to investigate a possible critical point in matter with high net baryon density.
- Gao et al. (2024; revised 2025), Baryogenesis and first-order QCD transition with gravitational waves from a large lepton asymmetryThis theoretical study explores how a large primordial lepton asymmetry could produce a first-order QCD transition and gravitational waves.
The Grand Beginning
- The Singularity and Moment of Creation
- Quantum Fluctuations and Inflation
- Big Bang Nucleosynthesis
- Matter vs. Antimatter
- Cooling and the Formation of Fundamental Particles · You are here
- The Cosmic Microwave Background (CMB)
- Dark Matter
- Dark Energy
- Recombination and the First Atoms
- The Dark Ages and First Structures
- Reionization: Ending the Dark Ages