What Holds Quarks Together Inside Protons and Neutrons?

The atomic nucleus is built from protons and neutrons. While these particles were once considered indivisible, modern physics shows they are composite objects containing even smaller components. This raised a fundamental question: what force is powerful enough to bind these sub-components within the tiny volume of a proton or neutron? Understanding this internal binding mechanism is central to comprehending the stability and structure of matter. The answer lies in a specialized interaction unlike any other force observed in nature.

Quarks and Hadrons

The smallest known constituents of protons and neutrons are quarks, which are considered truly elementary particles. Quarks come in six “flavors,” but the up quark and the down quark make up all ordinary matter.

A proton is constructed from two up quarks and one down quark, resulting in a net electrical charge of positive one. Conversely, a neutron is composed of one up quark and two down quarks, leading to a net electrical charge of zero.

Particles made up of quarks belong to the family of composite particles known as hadrons. Hadrons are divided into baryons (three quarks) and mesons (a quark and an antiquark). Quarks are never observed in isolation, suggesting an extremely powerful binding force confines them to specific groupings.

The Strong Nuclear Force and Color Charge

The strong nuclear force holds quarks together and is the strongest of the four fundamental forces. It is described by the theory of quantum chromodynamics (QCD). This force is mediated not by electrical charge, but by a unique property of quarks called “color charge.”

This color charge is unrelated to visual colors, serving as a label for the three states: red, green, and blue. Every quark possesses one of these three charges, and every antiquark possesses an anti-color charge. Interactions between these color charges determine the behavior of the strong force, similar to how electrical charges govern the electromagnetic force.

For a hadron to exist stably, it must be “color neutral,” analogous to mixing the three primary colors to produce white light. A baryon must contain one quark of each primary color (red, green, and blue) to achieve this “white” state. This requirement dictates how quarks combine and is responsible for their constant binding, easily overcoming the electrical repulsion between positively charged up quarks.

Gluons The Force Carriers

The strong nuclear force is transmitted between quarks by exchange particles known as gluons. Gluons are massless gauge bosons that transfer the strong force, similar to how photons mediate the electromagnetic force.

A unique property of gluons is that they carry color charge themselves, unlike the electrically neutral photon. A gluon carries a combination of a color and an anti-color, resulting in eight different types. This self-interaction, where gluons interact with other gluons, fundamentally distinguishes the strong force from all others.

The exchange of gluons binds quarks together. Because gluons carry color charge, they attract each other, causing the strong force field lines to bunch into a narrow, string-like region called a “flux tube” between the quarks. The energy stored in this flux tube explains the strong force’s counter-intuitive behavior at longer distances.

Why Quarks Cannot Be Separated

The force binding quarks exhibits two extreme behaviors depending on the distance between them. When quarks are extremely close, the strong force becomes very weak—a phenomenon known as asymptotic freedom. Under these conditions, the quarks can move almost freely within the hadron’s small volume.

However, the strong force behaves completely differently when quarks begin to separate; it does not weaken with distance, but actually increases in strength. This effect, called color confinement, means the farther one attempts to pull a quark away, the stronger the force pulls back. The strong force acts like an unbreakable spring, requiring an ever-increasing amount of energy to stretch.

If enough energy is supplied to separate the quarks beyond about one femtometer, the energy itself converts into new matter. This process, known as pair production, creates a new quark and an antiquark from the vacuum of space. These new particles immediately combine with the original separating quarks. The result is the creation of two new color-neutral hadrons, ensuring that a single quark is never observed in isolation.