Neutron-rich Hydromagnetic Outflows in Gamma-Ray Burst Sources

Abstract

We demonstrate that ``hot'' MHD outflows from neutron-rich black-hole debris disks can significantly alleviate the baryon-loading problem in gamma-ray burst (GRB) sources. We argue that the neutron-to-proton ratio in disk-fed outflows might be as high as ~30 and show, with the help of an exact semianalytic relativistic-MHD solution, that the neutrons can decouple at a Lorentz factor gamma_d ~ 15 even as the protons continue to accelerate to Lorentz factor ~200 and end up acquiring ~30% of the injected energy. We clarify the crucial role that the magnetic field plays in this process and prove that purely hydrodynamic outflows must have gamma_d > a few hundreds. The motion of the decoupled neutrons is not collinear with that of the decoupled protons, so, in contrast to previous suggestions based on purely hydrodynamic models, the two particle groups do not collide after decoupling. If the decoupled neutrons move at an angle > 1/gamma_d = 3.8 degr (15/gamma_d) to the line of sight to the GRB source, most of their emission after they decay into protons will remain unobservable.