How Photons Spin Protons express

Original: "Measurement of the Gerasimov-Drell-Hearn integrand for proton and deuteron from 200 to 1400 MeV"
arXiv:2604.14385 · 2026-04-15 · CC BY 4.0 · 1 min
Light made protons and neutrons reveal their inner vortices.

Light twisted in one direction hits a proton. The particle can absorb the photon or deflect it — depending on how its own spin, a tiny internal top, is oriented. In the experiment at the MAMI accelerator in Mainz, a beam of polarized photons struck targets of polarized protons and deuterons (nuclei of heavy hydrogen). The Crystal Ball/TAPS detector caught everything flying out after the collisions, covering nearly the full solid angle—97%.

The measurements were taken in small energy steps from 200 to 1400 MeV. This revealed fine structure in the response: how absorption probability changes with photon energy. Such detailed data were previously unavailable. Comparison with theoretical calculations showed good agreement, and the difference between deuteron and proton yielded information about the free neutron, which is unstable on its own and lives only about 15 minutes.

The Gerasimov-Drell-Hearn (GDH) sum rule connects a particle's magnetic moment to the integral over all energies of the difference in absorption cross sections for opposite spin orientations. It's like checking a balance sheet: as many vortices inside, as much response outside.

The bottom line: the GDH sum rule was confirmed for the proton, neutron, and deuteron. This result is not just a checkmark in a textbook. It is a precise benchmark for calibrating models that describe how quarks and gluons assemble into nucleons and how these nucleons behave inside the atomic nucleus.

A free neutron lives on average about 15 minutes, but inside a deuteron it is stable, and its properties were extracted by subtracting the proton's contribution.

In Robert Wilson's novel Spin, polarized light is used to communicate with an alien intelligence — here it serves as a probe for the tiniest vortices of matter.

Scientists
Christian DopplerD. B. McLaughlinDidier QuelozMichel MayorR. A. RossiterJames Clerk Maxwell
Concepts
deuteron gigaelectronvolt deuterium proton mass katrin bohr radius femtometer atomic nucleus cms detector germanium detector proton deuterium abundance spectroscopy neutron mass helium atom electric dipole moment