Are Neutrons Attracted to Protons?

The atomic nucleus is the incredibly dense center of an atom, composed of positively charged protons and electrically neutral neutrons. Protons naturally repel one another due to the electromagnetic force, which acts over long distances. Given this powerful repulsion, the question of how the nucleus remains intact—and whether the uncharged neutron is involved in holding it together—is a central puzzle in physics. The answer lies not in the familiar electromagnetic force, but in a separate interaction that governs the behavior of matter at the subatomic scale.

The Force That Binds Protons and Neutrons

The attraction between protons and neutrons is a result of the Strong Nuclear Force, which is one of the four fundamental forces of nature. This force is responsible for binding the particles that make up the nucleus, collectively known as nucleons, into a stable structure. The Strong Nuclear Force is approximately 100 times stronger than the electromagnetic force at the short distances found within the nucleus.

This force acts almost identically between any pair of nucleons: proton-neutron, proton-proton, and neutron-neutron. The Strong Nuclear Force is actually a residual effect of a more fundamental interaction that holds together the quarks inside the protons and neutrons. This powerful attraction entirely overcomes the electrical repulsion between positively charged protons, allowing the nucleus to form.

The Short Reach of the Strong Nuclear Force

The defining characteristic of the Strong Nuclear Force is its extremely limited range of influence. This force is powerfully attractive only when nucleons are separated by distances on the order of a few femtometers (fm), where one femtometer is \(10^{-15}\) meters. The force’s strength is at its maximum at separations around 1 fm, which is roughly the typical distance between nucleons inside a nucleus.

The attractive force rapidly drops to virtually zero once the particles move beyond about 2.5 to 3 femtometers. This short-range nature explains why the force is not observed in everyday life, as atoms themselves are five orders of magnitude larger than their nuclei. In stark contrast, the electromagnetic force, which constantly pushes protons apart, has an infinite range.

Furthermore, at very short distances, less than about 0.7 femtometers, the Strong Nuclear Force actually becomes strongly repulsive. This powerful repulsion prevents the nucleons from collapsing into a point, ensuring the nucleus maintains a specific average size. The Strong Nuclear Force operates as a precise, short-range glue that is attractive at nuclear distances but becomes repulsive at even closer proximity.

How Neutrons Stabilize the Nucleus

Neutrons play a fundamental role in maintaining nuclear stability by contributing to the overall Strong Nuclear Force without adding to the disruptive electromagnetic repulsion. For elements with a low number of protons, the most stable nuclei often have a neutron-to-proton (N/P) ratio close to 1:1.

As the number of protons increases in heavier elements, the total electrical repulsion grows significantly. To compensate for this mounting instability, the stable N/P ratio begins to climb above 1, requiring an increasing number of neutrons. For very heavy elements, this ratio can rise to about 1.5, as seen in isotopes like Uranium-238.

Nuclei that have an N/P ratio that falls outside this narrow band of stability are considered unstable and undergo radioactive decay to achieve a more favorable balance. For instance, a nucleus with too many neutrons may convert a neutron into a proton through beta decay. This attraction between neutrons and protons is necessary for the existence of all elements heavier than hydrogen.