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Neutron Stars: A Weak Superconductor Within

Original: "Neutron Star Observations Challenge a Large Colour-Superconducting Gap in Dense Quark Matter"
arXiv:2606.03707v2 · 2026-06-02 · CC BY · ⏱ 1 min · High Energy HEP Phenomenology
Observations show that exotic superconductivity inside neutron stars barely affects their properties.
Abstract

In the ultradense cores of neutron stars, quarks can form a 'color' superconductor. But how strong is this effect? By combining star observations with theory, physicists estimated the energy gap: about 34 MeV, with an upper limit of 66 MeV — twice as precise as previous estimates. It turned out that superconductivity barely affects the pressure, only delicately linking the star data with the phase diagram of matter.

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Neutron stars are ultra-dense remnants of dead stars, whose existence was predicted by Fritz Zwicky and whose stability was studied by Subrahmanyan Chandrasekhar. In their cores, matter is squeezed so tightly that a sugar cube would weigh as much as a mountain, and atomic nuclei break down into quarks. According to quantum field theory, these quarks can pair up into a state of color superconductivity—an exotic cousin of ordinary superconductivity.

However, astrophysical measurements have shown that this effect is vanishingly weak.

Color superconductivity in a neutron star is like a stripe of paint on a cargo ship: it doesn’t alter the draft or the heading.

Stellar masses were determined from pulsars (discovered by Jocelyn Bell Burnell), radii—with the NICER telescope (photometry and spectroscopy of X-rays), and LIGO contributed data on gravitational waves, the trembling of curved spacetime during collisions. Calculations yielded an upper limit for the superconductivity’s influence—about 66 MeV, which is tens of times weaker than the energy of an X-ray photon, and most likely the number is half that.

Such a minuscule contribution means astrophysicists can safely ignore color superconductivity when modeling neutron stars. The exotic phase either emerges at even higher densities or is simply irrelevant for the whole star. Amazingly, this whisper of nature was heard through the roar of cosmic data—a subtle effect fished out of the abyss.

🎯 In the color superconductivity phase called color-flavor locking, the color and flavor of quarks behave like dance partners: if you twist one, the other automatically twists with it.

\Delta_{\text{CFL}} \le 66 \text{ МэВ}
The upper limit on the binding energy of a Cooper pair of quarks in the color-flavor locking phase, obtained from astrophysical observations. This value sets the strength of the 'embrace' between quarks in the superconducting dance.
c_s^2 = \frac{dP}{d\varepsilon} > \frac{1}{3}
The speed of sound squared in dense matter exceeds the conformal limit of 1/3, typical for an ultra-relativistic gas. This peak — like a resonant drumbeat — reveals the strong interaction and stiffness of the equation of state.
Scientists
Christian DopplerD. B. McLaughlinDidier QuelozMichel MayorR. A. RossiterEmmy Noether
Tags
neutron star pulsar gravitational waves Quantum Field LIGO photometry spectroscopy spacetime curvature
Laws
Doppler effectNoether's theoremEinstein field equationsMaxwell's equationsPlanck's lawPlanck–Einstein relation
Original: arXiv:2606.03707v2 · CC BY · bridge42worlds