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How Earthly Atomic Nuclei Reveal the Size of Neutron Stars ⚡ экспресс

Original: "Universal relation between dipole polarizability of finite nuclei and neutron-star compactness"
arXiv:2601.16894 · 2026-01-23 · CC BY 4.0 · ⏱ 1 min · Nuclear Theory High Energy Stellar Nuclear Experiment
By measuring how easily atomic nuclei deform, scientists pinned down a neutron star's radius with kilometer precision.
Abstract

A new universal relation has been proposed, linking the properties of finite nuclei and neutron stars through the dimensionless parameter ζ = β_{1.4} \tilde{L}^{-1} (β_{1.4} is the compactness of a 1.4 solar mass star, \tilde{L} is the normalized symmetry energy slope at saturation). A strong exponential correlation of ζ with the electric dipole polarizability α_D of heavy nuclei was discovered, reproduced for a range of relativistic functionals (point coupling, meson exchange) and non-relativistic Skyrme models. Imposing experimental constraints on α_D for neutron-rich nuclei provided equation-of-state-independent estimates of the neutron star radius R_{1.4} and the slope L. This eliminates model dependence and narrows uncertainties in describing neutron-star matter. The result demonstrates that laboratory measurements of nuclear properties give direct access to the characteristics of neutron stars.

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A neutron star is the ultra-dense remnant of a supernova explosion, whose existence was predicted by Fritz Zwicky back in the 1930s. Later, Jocelyn Bell Burnell detected them as pulsars — rotating sources of strictly periodic radio signals.

A teaspoon of stellar matter weighs billions of tons — the entire Mount Everest fits into a thimble.

The precise radius of a neutron star depends on the stiffness of nuclear matter — its ability to resist compression. This quantity can’t be measured directly for the star, but it can be calculated in the lab. The atomic nucleus is like a sponge: squeeze it, and its compressibility tells you how soft the star-sphere is in distant space. Chandrasekhar laid the groundwork for such a connection; recent work found a universal rule that equates the behavior of protons and neutrons in a nucleus to the properties of stellar matter — and all this fits within the standard model.

Measurements on lead nuclei showed: if the star weighs as much as 1.4 Suns, its radius is roughly 12 kilometers. The tiniest change in the nucleus's deformability shifts this estimate by kilometers. So, by squeezing a tiny sample in an earthly lab, physicists refine the size of an object thousands of light-years away. The cosmos and the microcosmos have come together not in fiction, but in precise calculation.

🎯 Due to the monstrous gravity of a neutron star, its surface is almost perfectly smooth: mountains there can't be taller than a few millimeters — any bump gets instantly crushed.

🎬 In the sci-fi novel 'Dragon's Egg', a civilization is described living on a neutron star, where time flows thousands of times faster than on Earth.

Scientists
Emmy NoetherEnrico FermiPaul DiracWolfgang PauliSubrahmanyan ChandrasekharJocelyn Bell Burnell
Tags
neutron star supernova pulsar Standard Model
Laws
Noether's theoremFermi–Dirac statisticsspin–statistics theoremFermi's golden ruleChandrasekhar limitFermi acceleration
Original: arXiv:2601.16894 · CC BY 4.0 · bridge42worlds