Locked Up Forever: How Physicists Measured the Force That Holds Quarks express

Original: "Revisiting Quark Confinement in the Proton through the Force on Quarks"
arXiv:2607.21952 · 2026-07-24 · CC BY 4.0 · 2 min
Physicists have found a new way to peer inside the proton and estimate the force that permanently confines quarks within particles.

The proton is not a solid ball but a tiny prison. Inside it, three quarks are locked up, and the gluon field keeps them from escaping — something like invisible threads that only grow stronger if the quarks try to move apart. For a long time, this property, known as confinement, remained almost mystical: it was observed in experiments, but the force acting on each quark could not be directly measured.

Recently, a group led by Xiangdong Ji proposed a way to estimate it, and obtained the first convincing numbers. In the new work, the authors improved the calculation. They incorporated results from so-called light-cone sum rules of quantum chromodynamics, like using readings from an additional instrument where ordinary accelerator data and lattice calculations are too imprecise. They also reformulated the problem: instead of fitting the answer to a pre-selected formula, they reconstructed the force as a blurred image — using a regularized inverse problem (a method that removes noise). This reduces dependence on assumptions.

It turned out that the force holding a quark grows almost linearly with distance, as in the classic 'string' model with a tension of about 1 GeV/fm. For comparison, to stretch such a 'spring' to the diameter of a proton would require a force capable of lifting a mass as heavy as a small virus.

This is not just a test of an idea. Confidence that confinement indeed works through a linear potential brings us closer to understanding the strongest bond in nature. And with future, more precise collider data, the uncertainty of the calculation could be reduced severalfold — making the 'photograph' of the proton's interior even sharper.

If a quark could be pulled out of a proton, the energy expended would immediately create a new quark-antiquark pair, and the lone quark would again find itself confined, but in another particle.

Scientists
Emmy NoetherWolfgang PauliEnrico FermiPaul DiracChien-Shiung WuEugene Wigner
Concepts
quark confinement quantum chromodynamics lattice qcd proton structure calculation quark structure probing bound state color charge color superconductivity hadron strong interaction proton spin puzzle interaction strength geometric confinement constraint baryon coupling constant stabilizer code compression gluon Hooke's law