The Secular Periodic Evolution of X-ray Quasi-periodic Eruptions Driven by Star-disc Collisions

TL;DR

This study models the secular evolution of X-ray QPEs in GSN069 and eRO-QPE2 as star-disc collisions, using simulations to constrain the nature of the orbiting objects and disc properties based on observed periodic decay rates.

Contribution

It introduces a numerical simulation framework to analyze star-disc collision scenarios for QPEs and constrains the possible types of orbiters and disc densities based on observed decay rates.

Findings

Main-sequence stars are plausible orbiters in both sources.

Disc surface density must be within specific ranges to match observed decay and stellar survival.

Degenerate objects are unlikely as orbiters due to decay rate constraints.

Abstract

We study the secular periodic evolution of quasi-periodic eruptions (QPEs) for GSN069 and eRO-QPE2 assuming that they are driven by star-disc collisions. We set up numerical simulations and compared them with the observed periodic decay of $\sim -3160\pm720$ s yr$^{-1}$ in GSN069 and $\sim -370\pm40$ s yr$^{-1}$ in eRO-QPE2. We find that: (1) Stellar mass black holes are unlikely the orbiters in these two sources, as their periodic decay are on the order of $<10$ s yr$^{-1}$; (2) A naked degenerate core (including white dwarf) is unlikely the orbiter in GSN069, as the decay is on the order of $<200$ s yr$^{-1}$. However, it is possible in eRO-QPE2, although the required surface density of the accretion disc is relatively high (e.g., $\Sigma\gtrsim10^7\sim 10^8$ g cm$^{-2}$); (3) Both the orbiters in GSN069 and eRO-QPE2 can be solar-like main-sequence stars (MSs). However, each collision can lead to gradual ablation of the stellar envelope in the order of $10^{-5}\sim 10^{-3}M_\odot$. To reproduce the observed decay while surviving for $\gtrsim 3$ yr, the surface density of the disc needs to be within a certain range. For example, given a $1M_\odot$ MS orbiter the surface density of the disc gas should be in the range of $3\times10^5\sim 2\times10^6$g cm$^{-2}$ for GSN069 or $5\times10^4\sim 10^6$ g cm$^{-2}$ for eRO-QPE2. In both of these two sources, the MS can not survive for more than $\sim 12$ yr. We expect that future observations of these two sources can help to distinguish whether the orbiters are degenerated compact objects or gaseous stars.