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Foundations of Nuclear Physics

Manual: General · Subject: Physics

Build the core language, scales, and observables used throughout nuclear physics.

What Nuclear Physics Studies

The atomic nucleus

Nuclear physics studies the structure, stability, reactions, and decay of atomic nuclei. A nucleus contains protons and neutrons, collectively called nucleons, and is governed by interactions that are much stronger than electromagnetic forces at femtometer scales.

ℹ️

Size scales

Typical nuclear radii are on the order of R≈r0A1/3R \approx r_0 A^{1/3} with r0≈1.2 fmr_0 \approx 1.2\,\text{fm}, where AA is the mass number.

Core quantities

Atomic number ZZ
Number of protons
Neutron number NN
Number of neutrons
Mass number AA
A=Z+NA=Z+N
Isotope
Same ZZ, different NN
Nuclide
A specific nucleus identified by ZZ and NN

Useful nuclear notation

NotationMeaning
ZAX^{A}_{Z}\mathrm{X}Nuclide symbol
Δm\Delta mMass defect
BBBinding energy
T1/2T_{1/2}Half-life

What quantity uniquely identifies an isotope of an element?

Write the relation between mass number, proton number, and neutron number.

Forces and Scales

Why nuclei are stable

The strong interaction binds nucleons at short range, overcoming the electric repulsion between protons. Because the strong force saturates, each nucleon interacts strongly only with nearby nucleons, which helps explain why nuclear matter has roughly constant density.

Why does the nuclear force lead to approximately constant nuclear density?

What length scale is typical for nuclear interactions?