1. Potential drops above pulsar polar caps - Acceleration of nonneutral beams from the stellar surface
- Author
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E. T. Scharlemann, W. M. Fawley, and J. Arons
- Subjects
Physics ,Field line ,Astrophysics::High Energy Astrophysical Phenomena ,Stellar atmosphere ,Astronomy and Astrophysics ,Astrophysics ,Plasma acceleration ,Charged particle ,Relativistic particle ,Luminosity ,Neutron star ,Pulsar ,Space and Planetary Science ,Atomic physics - Abstract
We develop a self-consistent, three-dimensional method for the calculation of the steady-state acceleration of nonneutral plasma at the surface of a rotating, magnetized, isolated neutron star. When the effects of surface work functions are negligible, there is a unique monotonic electrostatic potential and associated current profile. We obtain explicit solutions in the monopole and polar-cap geometries. In the latter, we neglect field-line curvature and consider only the aligned rotator. The maximum asymptotic particle energy in the polar-cap case, achieved along the central field line, is found to be E/sub max/=2.8 x 10/sup 9/ eV x (P/1 s)/sup -1/(B/10/sup 12/ gauss)/sup 1/2/(R/sub asterisk6/ cm)/sup 1/2/(Zm/m/sub e/)/sup 1/2/. This result is in good accord with previous estimates made by Michel. The total luminosity of the pulsar in the form of each charged-particle beam from a polar cap is L/sub cap/=4 x 10/sup 27/(P/1 s)/sup -3/(B/10/sup 12/ gauss)/sup 3/2/ (R/sub asterisk6/ cm)/sup 9/2/(m/Zm/sub e/)/sup 1/2/ ergs s/sup -1/. This luminosity is sufficient to explain radio pulsars if the beam energy can be converted to radio radiation with reasonably high efficiency, but is insufficient to explain pulsed ..gamma..-ray emission from the Crab and other pulsars. In these numerical estimates, we assume that the closedmore » magnetosphere extends to the light cylinder. We also investigate the rotation rate of the plasma, and show that on the open-field lines of the aligned rotator, the beam current induces a twist to the field lines such that an observer at infinity sees the plasma as nonrotating. We apply these results and point out the necessity of including the effects of field-line curvature in a realistic model.« less
- Published
- 1977