Magnetic Field Upper Limits for Jet Formation

TL;DR

This paper investigates the magnetic field strength thresholds necessary for jet formation in various astrophysical systems, combining theoretical modeling with observational data analysis to establish limits across neutron stars, black holes, and AGNs.

Contribution

It provides a systematic analysis of magnetic field limits for jet formation using the Alfven Radius condition, integrating observational data to validate theoretical predictions.

Findings

Classical X-ray pulsars are unlikely to produce jets due to high magnetic fields.

Z-sources and Atoll-sources can develop jets if magnetic fields are below certain thresholds.

Black hole and AGN systems have specific magnetic field upper limits consistent with observations.

Abstract

Context: Very high magnetic fields at the surface of neutron stars or in the accretion disk of black holes inhibit the production of jets. Aims: We quantify here the magnetic field strength for jet formation. Methods: By using the Alfven Radius, R_A, we study what we call {\it the basic condition}, R_A/R_*=1 or R_A/R_{LSO}=1 (LSO, last stable orbit), in its dependency on the magnetic field strength and the mass accretion rate, and we analyse these results in 3-D and 2-D plots in the case of neutron star and black hole accretor systems, respectively. For this purpose, we did a systematic search of all available observational data for magnetic field strength and the mass accretion rate. Results: The association of a classical X-ray pulsar (i.e. B ~10^{12} G) with jets is excluded even if accreting at the Eddington critical rate. Z-sources may develop jets for B \simlt 10^{8.2} G, whereas Atoll-sources are potential sources of jets if B \simlt 10^{7.7} G. It is not ruled out that a millisecond X-ray pulsar could develop jets, at least for those sources where B \simlt 10^{7.5} G. In this case the millisecond X-ray pulsar could switch to a microquasar phase during its maximum accretion rate. For stellar-mass black hole X-ray binaries, the condition is that B \simlt 1.35 x 10^8 G and B \simlt 5 x 10^8 G at the last stable orbit for a Schwarzschild and a Kerr black hole, respectively. For active galactic nuclei (AGNs), it reaches B \simlt 10^{5.9} G for each kind of black hole. These theoretical results are in complete agreement with available observational data.