On the Origin of Fast Radio Bursts (FRBs)
We derive stringent constraints on the persistent source associated with FRB 121102: size 0.3<R{sub 17.5} =(R/10{sup 17.5} cm)<3, age <10{sup 2.5} year, energy E≈10{sup 49}(ε{sub e}/0.2GeV){sup 3} erg, characteristic electron energy 0.1⩽ε{sub e}/1 GeV⩽0.5; the radiating plasma is confined by a cold plasma of mass M{sub c}<10{sup −1.5}R{sub 17.5}{sup 4} M{sub ⊙}; these properties are inconsistent with typical “magnetar wind nebulae” model predictions. The fact that ε{sub e}∼m{sub p}c{sup 2} suggests that the hot plasma was created by the ejection of a mildly relativistic, M≈E/c{sup 2}≈10{sup −5} M{sub ⊙} shell, which propagated into an extended ambient medium or collided with a pre-ejected shell. Independent of the persistent source model, we suggest a physical mechanism for the generation of fast radio bursts (FRBs): the ejection from an underlying compact object, R{sub s}=10{sup 6}R{sub s,6} cm, of highly relativistic shells with energy E{sub s}=10{sup 41}E{sub 41} erg and Lorentz factor γ{sub s}=10{sup 3}E{sub 41}{sup 1/8}R{sub s,6}{sup −3/8}, into a surrounding e − p plasma with density n∼10{sup −1} cm{sup −3} (consistent with that inferred for the persistent source). For E {sub s} similar to observed FRB energies, plasma conditions appropriate for strong synchrotron maser emission at ν{sub coh.}≈0.5E{sub 41}{sup 1/4}R{sub s,6}{sup −3/4} GHz are formed. A significant fraction of the deposited energy is converted to an FRB with duration R{sub s}/c, accompanied by ∼10 MeV gamma-rays carrying less energy than the FRB. The inferred energy and mass associated with the source suggest some type of a “weak stellar explosion,” where a neutron star is formed with relatively low mass and energy ejection. However, the current upper limit on R does not allow one to rule out M{sub c}∼1 M{sub ⊙}, or the ejection of a larger mass well before the ejection of the confining shell.