concept

nuclear structure

The arrangement and behavior of nucleons within atomic nuclei, including forces and dynamics.
22 related articles · 2 formulas

Description

Nuclear structure describes how protons and neutrons (nucleons) are arranged and interact within the atomic nucleus. It encompasses the forces that bind the nucleus together, the energy levels of nucleons, and the shapes and sizes of nuclei. Understanding nuclear structure is fundamental to explaining why certain isotopes are stable, how stars produce elements, and the behavior of matter under extreme conditions.

History

The modern understanding of nuclear structure began with the discovery of the neutron in 1932 by James Chadwick. The nuclear shell model was developed in 1949 by Maria Goeppert-Mayer and Hans Jensen, who were awarded the Nobel Prize in 1963.

How it works

The nucleus is held together by the strong nuclear force, which overcomes the electrostatic repulsion between protons. Nucleons occupy discrete quantum energy levels, similar to electrons in an atom, and their arrangement follows the nuclear shell model. The structure can be spherical, deformed, or even have exotic shapes like halos, depending on the balance of forces and the number of nucleons. Quantum chromodynamics (QCD) provides the underlying theory, but effective models are often used to describe complex nuclei.

In practice

Nuclear structure knowledge is essential for designing nuclear reactors, developing medical isotopes for imaging and cancer treatment, and understanding nucleosynthesis in stars.

Fun fact

Some nuclei, like lithium-11, have a 'halo' structure where two neutrons orbit far from the core, making the nucleus nearly the size of a much heavier lead nucleus.

Concept graph →

Formulas

$$\varepsilon(q) = \frac{q^2}{2 S(q)}$$
Excitation energy relates to structure factor.
What is in the formula
\varepsilon(q)variableExcitation energy as a function of wavevector q — energy hartree
qvariableWavevector magnitude — wavevector inverse bohr
S(q)variableStatic structure factor — structure factor
\varepsilon(q)\lesssim\frac{q^2}{2s(q)} · 2607.08616
$$H_{\text{HFI}} = \boldsymbol{\mu}_I \cdot \mathbf{A} \cdot \mathbf{S}$$
Interaction between nuclear and electron magnetic moments.
What is in the formula
H_{\text{HFI}}variablemagnetic hyperfine interaction Hamiltonian — hamiltonian joule
\boldsymbol{\mu}_Ivariablenuclear magnetic moment — magnetic moment ampere square metre
\mathbf{A}variablehyperfine coupling tensor — tensor joule per ampere square metre
\mathbf{S}variableelectron spin operator — spin operator
\cdotoperatorscalar product of vectors — dot product
h_{{hfi}}^{(m1)}=\boldsymbol{μ}*{t}^{(e)} · 2607.08941

Related articles · 22

How a Neutron Vortex Gathers a Bouquet of Magnetic Filaments
Deep inside a neutron star, where matter is compressed to the density of an atomic nucleus, neutrons form a superfluid and protons form a superconductor. A neutron vortex is a quantized vortex in the superfluid, akin to a miniature whirlpool that cannot stop spinning.
The Magnesium Key to Sub-Neptune Interiors
Deep inside a sub-Neptune, where pressures reach a hundred thousand bars and temperatures hit four thousand degrees, rock behaves like boiling soup. Heavy vapors of silicon and magnesium rise, cool, and fall back as a rain of solid particles.
Nuclear Experiment2026-08-141 minarXiv:2608.13935express
How the thickness of the neutron skin changes nuclear collisions
Two nuclei with the same number of particles but different neutron skin shapes collide at speeds close to the speed of light. Ruthenium-96 and zirconium-96 are like twins, one with a slightly thicker coat. This difference changes how particles carry charge in the fireball of the collision.
Nuclear Theory2026-08-102 minarXiv:2608.09386express
Pear-Shaped Echo in Neighboring Nuclei
The atomic nucleus isn't always round like a billiard ball. Some nuclei stretch out like a rugby ball, while others become pear-shaped — with one end thicker than the other.
A Pearl in a Dark Matter Shell
A neutron star is the ultra-dense remnant of a supernova: the mass of the Sun packed into a sphere the size of a city. For billions of years, it travels through space, gathering around itself invisible matter, dark matter, which emits no light but pulls with gravity.
Nuclear Theory2026-07-312 minarXiv:2607.28901express
The Dancing Nucleus of Carbon-14
A playground with swings follows its own rules. Usually, kids sit on the lowest, most stable spots. But sometimes someone climbs higher, and the whole structure tilts a bit. That's roughly how the carbon-14 nucleus behaves — six protons and eight neutrons packed into a tiny volume.
Nuclear Theory2026-07-181 minarXiv:2607.17006express
Recipe for the Invisible: What Neutron Stars Are Made Of
A heaping teaspoon, and the scale reads a billion tons. That's roughly what a teaspoon of neutron star matter would weigh if you could scoop it up and put it on a scale. Such objects are born after a supernova explosion: the star's core collapses into a sphere the size of a city, and the density exceeds that of an atomic nucleus.
Nuclear Experiment2026-07-101 minarXiv:2607.09551express
Tin-116 Hides Three Shapes in One Nucleus
An atomic nucleus is not just a ball of protons and neutrons. It has a shape, and that shape can change. The tin-116 nucleus was long considered almost perfectly spherical: it has 50 protons — a 'magic' number that usually gives a nucleus spherical symmetry. But a new ultra-precise measurement showed otherwise.
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Neutron stars — remnants of supernovae — are among the densest objects in the Universe. Their central density exceeds nuclear density many times over, and gravity is surpassed only by black holes.
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The Quantum Tango of Neutrons: The Dineutron on the Edge of Stability
In nuclear physics, the belief long reigned that two neutrons cannot form a bound state — they attract too weakly and immediately fly apart. However, on the surface of neutron-rich nuclei, where the matter density drops to a thousandth of normal nuclear density, the situation changes dramatically.
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Nuclear Experiment2026-05-122 minarXiv:2605.12626express
How the Atomic Nucleus Becomes a Dance Floor
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Nuclear Theory2026-04-292 minarXiv:2604.26876express
How the Thickness of a Neutron Skin Reveals the Heart of Dead Stars
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Nuclear Theory2026-04-291 minarXiv:2604.26952express
Neutron Star Recipe: Nuclei for Lunch
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Nuclear Experiment2026-04-091 minarXiv:2604.07949express
How to Measure the Invisible Halo of the Lightest Nucleus
If an atomic nucleus is a family, then in an ordinary helium house live two protons and two neutrons, holding hands tightly. Now imagine that one family member is an oddball who loves to wander far from home.
Nuclear Theory2026-03-081 minarXiv:2603.07596express
How Nuclear Shape Changes Its Size
An atomic nucleus isn't always round. It can stretch out like a melon or flatten like a pumpkin. And its size depends on this shape — just as the size of a pie depends on the shape of the dough. Scientists calculated the shapes and sizes of nuclei of berkelium isotopes — a heavy element produced in reactors.
Nuclear Theory2026-01-231 minarXiv:2601.16894express
How Earthly Atomic Nuclei Reveal the Size of Neutron Stars
A neutron star is the ultra-dense remnant of a supernova explosion, whose existence was predicted by Fritz Zwicky back in the 1930s. Later, Jocelyn Bell Burnell detected them as pulsars — rotating sources of strictly periodic radio signals.
Nuclear Theory2026-01-101 minarXiv:2601.06541express
Antiproton in the Nuclear Halo
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Nuclear Theory2026-01-101 minarXiv:2601.06544express
Quantum Entanglement in the Atomic Nucleus
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