Hadrons & the Quark Model

hadron spectroscopy

When a chemist studies an atom, they map out the rungs of its energy ladder — the precise set of states the atom can occupy. Hadron spectroscopy does the same thing for hadrons. It catalogs every state a given combination of quarks can settle into: the lightest version and all the heavier, excited versions, with their masses, spins, and lifetimes carefully measured.

The key idea is that a hadron is not a single object but a ladder of related states, just like an atom. The proton's quark content (uud), for example, also gives rise to a series of heavier, excited cousins called nucleon resonances, which are the same three quarks vibrating or spinning faster, carrying more energy. Each excited state shows up in experiments as a bump in a graph: a particular energy at which collisions suddenly become much more likely, because a real, if extremely short-lived, particle is being formed and then falls apart.

Spectroscopy is how physicists test their understanding of the strong force in detail. The full theory, quantum chromodynamics, should predict exactly which states exist and where they sit on the energy ladder, but it is notoriously hard to solve, so the predictions increasingly come from massive computer simulations called lattice QCD. Measuring the spectrum precisely — and finding the occasional surprise, like an exotic state that does not fit the simple pattern — is one of the main ways the theory is checked against reality.

The proton (uud) is the ground state of the nucleon; the Delta resonance is a heavier excited state of the same quarks, appearing as a broad bump in pion-proton scattering near 1.23 GeV.

Each quark combination has a whole ladder of states; mapping that ladder tests the theory of the strong force.

Excited hadrons are not new kinds of matter; they are higher-energy states of the same quarks, and they shed that extra energy almost instantly by decaying back to lighter hadrons.

Also called
spectroscopy of hadronsexcited hadrons强子谱学強子譜學