Stellar Interiors: A Clash of Equations ✎ express

Original: "Can a hybrid star with constant sound speed parametrization explain the new NICER mass-radius measurements ?"
· Suman Pal, Gargi Chaudhuri
arXiv:2605.05042 · 2026-05-06 · arXiv non-exclusive · independent analysis · 2 min
Astrophysicists revisit pulsar data to see which 'recipes' for matter inside neutron stars best match observations.

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A neutron star is what remains after a massive star explodes. Its matter is squeezed so tightly that a teaspoon would weigh as much as a mountain. But what exactly happens in the deepest interior, where protons and neutrons may break apart into quarks, remains a mystery.

The authors took data from the X-ray telescope NICER, which measured radiation from two pulsars — rapidly rotating neutron stars that send us strictly periodic signals. For one of them, PSR J0030+0451, the surface temperature strongly depends on the chosen heating model: it differs in scenarios A, B, or C. This leads to different estimates of the star's radius, and thus different conclusions about its internal structure.

Pulsars act like cosmic lighthouses: their beams of radiation sweep past us with the precision of atomic clocks. From the slightest shifts in this rhythm, you can calculate how much spacetime is curved around the star.

The scientists applied a model with a constant sound speed in quark matter (CSS) and checked which parameters do not contradict observations. It turned out that if the density jump at the boundary between ordinary nuclear matter and the quark phase is small, many equations of state work acceptably. But if the jump is large, the model fails to produce sufficiently massive stars, yet astronomers have already found neutron stars with masses around two solar masses.

The speed of sound in a neutron star cannot exceed the speed of light, but in quark matter it can approach this limit. Then the star becomes 'stiffer' and can support a larger mass without collapsing into a black hole.

Additionally, the researchers checked their conclusions against data from another heavyweight pulsar, PSR J0740+6620, and the spin record-holder PSR J0952-0607. It turned out that a high sound speed in the quark core helps keep massive stars from collapsing. So, by comparing different 'recipes' for matter with real cosmic objects, we can gradually figure out what goes on in the very heart of a neutron star.

A teaspoon of neutron star matter would weigh about as much as all the people on Earth combined.

In Robert Forward's novel 'Dragon's Egg', life is described on the surface of a neutron star, where due to the immense gravity and density, time flows a million times faster.

Scientists
Subrahmanyan ChandrasekharJocelyn Bell BurnellWolfgang PauliJohn Archibald WheelerRussell HulseLev Landau
Concepts
neutron star mass limit neutron star equation of state nicer equation of state speed of sound