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Gently burbling nuclear burning

The build-up of matter on the surface of a neutron star, conveyed from an orbiting companion star by tidal and other forces, can produce densities and temperatures that are conducive to nuclear fusion reactions, the merging of light-element atoms to form heaver ones. Depending on factors such as the rate of mass transfer, the rotation of the neutron star, and the presence of a strong magnetic field, the nuclear fuel may burn continuously, explosively, or somewhere in between - not quite stably but cyclically. In each case, time-varying X-ray emission traces the heat of the fusion reactions: persistent emission for continuous burning, "Type I" bursts of X-rays for explosive burning, and quasi-periodic brightness oscillations (QPOs) for cyclic burning. A handful of neutron-star binary systems exhibit the QPOs that are thought to represent marginally stable burning, with cycling timescales on the order of a few minutes (frequencies conveniently described in millihertz [mHz]), and the variety of conditions under which it occurs is surprisingly broad.

The neutron-star binary GS 1826-238 was already known to be a source of Type I thermonuclear bursts - with such regularity that it was called the "Clocked Burster" - but in 2018 NICER discovered that it sometimes also produces mHz QPOs. A peer-reviewed paper by H. Xiao (Univ. of Turku, Finland, and Sun Yat-sen Univ., PRC) and collaborators, recently published in The Astrophysical Journal, describes a comprehensive study of all mHz oscillations detected by NICER in its archive of observations from 2017 to 2022 to assess their properties and better understand the conditions in which nuclear burning on the star is marginally stable vs. explosive. The team identifies 37 instances of mHz QPOs in 106 observations, with no apparent correlation with the persistent X-ray brightness (expected to be proportional to overall mass-transfer rate). The oscillations span a range of frequencies between 3 and 17 mHz, and are more pronounced for higher X-ray photon energies than for lower. A closer look at the distribution of X-ray photon energies during the mHz oscillations shows a pattern that matches a prediction of the theory of marginally stable burning. The authors apply a model in which high-energy X-ray emission originates in a hot plasma that boosts low-energy "seed" photons from the neutron star's surface, and infer the temperatures and intensities of these seed photons as a function of the oscillation phase. As expected for marginally stable burning, peak X-ray brightness coincides with maximum temperature and minimum seed-photon intensity, while the oscillation minimum occurs for lower seed temperature and higher intensity. The pattern reflects the origin of the cyclic burning: rising temperature results in more rapid consumption of fuel, reducing its thickness and promoting cooling, but the continuous supply of fresh fuel soon increases the temperature again.


Among 106 NICER observations ( The pulsation profile of a 9 mHz - 111 second - oscillation (top panel) captured by NICER on 28 March, 2022, where the data have been averaged with the oscillation period and plotted twice to show the cyclic behavior. The green and purple shaded bands were used for spectral analysis of the peak and trough, respectively. The time-resolved spectroscopy yields temperatures (middle panel) and intensities of photons (lower panel) consistent with the predictions of the marginally stable burning hypothesis. (Credit: Xiao et al. 2025)

Left: Among 106 NICER observations ("Good Time Intervals," or GTIs) of the neutron-star binary system GS 1826-238, 37 were found to exhibit quasi-periodic millihertz brightness oscillations, at essentially all levels of mass accretion (left panel) and over a range of frequencies, with most clustering around 8 mHz (right). (Credit: Xiao et al. 2025) Right: The pulsation profile of a 9 mHz - 111 second - oscillation (top panel) captured by NICER on 28 March, 2022, where the data have been averaged with the oscillation period and plotted twice to show the cyclic behavior. The green and purple shaded bands were used for spectral analysis of the peak and trough, respectively. The time-resolved spectroscopy yields temperatures (middle panel) and intensities of photons (lower panel) consistent with the predictions of the marginally stable burning hypothesis. (Credit: Xiao et al. 2025)



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