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.

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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.

Original abstract

as written by the authors arXiv:2604.14385

New data for the total inclusive helicity-dependent cross section for the proton and deuteron were obtained in the photon energy interval 200-1400 MeV. The experiment was performed at the A2 tagged-photon facility of the Mainz Microtron (MAMI) using a circularly polarized photon beam and longitudinally polarized proton and deuteron targets. The reaction products were detected using the large-acceptance Crystal Ball/TAPS calorimeter, which covers 97% of the full solid angle. These new results, obtained with fine energy binning, significantly expand both the quantity and the quality of the available data for these observables and enable a detailed comparison with state-of-the-art theoretical calculations. From the combination of the results for the deuteron and the proton, important information could also be extracted for the free neutron. Based on these data, and using existing models to evaluate the missing contributions from unmeasured photon energy regions, the validity of the Gerasimov-Drell-Hearn (GDH) sum rule has been verified for the proton, the neutron, and the deuteron. These new data provide a precise experimental benchmark for theoretical models used to study nucleons, both in their free state and when embedded in the nuclear medium.

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