The radio luminosity and magnetic field of pulsars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Magnetic Stars, Pulsars, Radio Stars, Stellar Luminosity, Stellar Magnetic Fields, Stellar Models, Magnetic Dipoles, Neutron Stars, Statistical Analysis, Stellar Evolution, Stellar Rotation, Superfluidity

Scientific paper

Recent developments in pulsar theory provide the framework for a reanalysis of the relationship between radio luminosity and magnetic field. The statistical significance of a gap in the observed luminosity distribution near log L = 27.5 is first discussed. A tentative explanation, involving both standard and disk pulsars, is found to be inconclusive. Alternatives involving a single class of objects are briefly mentioned. Within the framework of a single class of standard pulsars, it is pointed out that the correlation between radio luminosity and magnetic field increases very significantly with samples of progressively shorter periods. An evolutionary model is adopted, such that the braking torque at short period is determined by the standard magnetic dipole theory (period derivative P is inversely proportional to the reciprocal of P) and, at longer period, by a new process proposed by Huang and colleagues in 1982 (period derivative is inversely proportional to P-2). A substantially improved and nearly linear correlation between luminosity and magnetic field results. Furthermore, maximum derived magnetic fields are found to be significantly lower than the quantum critical value.

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