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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

Physicists have found a connection: the electric dipole polarizability (α_D — a measure of how deformable a nucleus is by a field) of heavy nuclei correlates exponentially with the compactness of neutron stars with 1.4 solar masses. The dimensionless parameter ζ, which combines compactness and the symmetry energy slope L (a characteristic of neutron matter), became the key. Experimental α_D for lead allowed independent constraints on neutron star radii and L. It's like determining the size of a cave by its echo — the nuclear response reveals stellar properties.

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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