The role of magnetospheric current sheets in pair enrichment and ultra-high energy proton acceleration in M87*

TL;DR

This paper models the role of magnetospheric current sheets in pair production and ultra-high energy proton acceleration near supermassive black holes, applying the findings to M87* and predicting observable high-energy phenomena.

Contribution

It introduces an analytical framework for pair populations and magnetic field strength in magnetospheric current sheets, linking simulations to observable high-energy emissions in M87*.

Findings

Pairs can produce MeV flares with luminosity ~10^41 erg/s.

X-ray counterparts to MeV flares can last about a day.

Protons can reach energies of a few EeV in magnetospheric sheets.

Abstract

Recent advances in numerical simulations of magnetically arrested accretion onto supermassive black holes have shed light on the formation and dynamics of magnetospheric current sheets near the black hole horizon. By considering the pair magnetization $\sigma_{\rm e}$ in the upstream region and the mass accretion rate $\dot{m}$ (in units of the Eddington mass accretion rate) as free parameters we estimate the strength of the magnetic field and develop analytical models, motivated by recent three-dimensional particle-in-cell simulations, to describe the populations of relativistic electron and positrons (pairs) in the reconnection region. Applying our model to M87*, we numerically compute the non-thermal photon spectra for various values of $\sigma_e$. We show that pairs that are accelerated up to the synchrotron radiation-limited energy while meandering across both sides of the current sheet, can produce MeV flares with luminosity of $\sim 10^{41}$~erg s$^{-1}$ -- independent of $\sigma_e$ -- for a black hole accreting at $\dot{m}=10^{-5}$. Pairs that are trapped in the transient current sheet can produce X-ray counterparts to the MeV flares, lasting about a day for current sheets with length of a few gravitational radii. We also show that the upstream plasma can be enriched due to photon-photon pair creation, and derive a new equilibrium magnetization of $\sigma_e \sim 10^3-10^4$ for $\dot{m}=10^{-6} - 10^{-5}$. Additionally, we explore the potential of magnetospheric current sheets to accelerate protons to ultra-high energies, finding that while acceleration to such energies is limited by various loss mechanisms, such as synchrotron and photopion losses from the non-thermal emission from pairs, maximal proton energies in the range of a few EeV are attainable in magnetospheric sheets forming around supermassive sub-Eddington accreting black holes.