
The arrangement and behavior of nucleons within atomic nuclei, including forces and dynamics.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.
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.
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.
Nuclear structure knowledge is essential for designing nuclear reactors, developing medical isotopes for imaging and cancer treatment, and understanding nucleosynthesis in stars.
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.
| \varepsilon(q) | variable | Excitation energy as a function of wavevector q — energy hartree |
| q | variable | Wavevector magnitude — wavevector inverse bohr |
| S(q) | variable | Static structure factor — structure factor |
| H_{\text{HFI}} | variable | magnetic hyperfine interaction Hamiltonian — hamiltonian joule |
| \boldsymbol{\mu}_I | variable | nuclear magnetic moment — magnetic moment ampere square metre |
| \mathbf{A} | variable | hyperfine coupling tensor — tensor joule per ampere square metre |
| \mathbf{S} | variable | electron spin operator — spin operator |
| \cdot | operator | scalar product of vectors — dot product |








