Constraints on the internal physics of neutron stars from the observational data of several young pulsars: the role of a power-law decaying dipole magnetic field
arXiv:2410.23585 · doi:10.1016/j.jheap.2023.12.003
Abstract
The observational data (e.g., the timing data and magnetic tilt angles ) of young pulsars can be used to probe some critical issues about the internal physics of neutron stars (NSs), for instance, the number of precession cycles and the internal magnetic field configuration (IMFC) of NSs. Evolution of the dipole magnetic field of NSs may play an important role in determining the final results. In this work, a power-law form is adopted to describe the decay of . In such a scenario, the IMFC and of young pulsars with an ordinary $B_{\rm d}\sim10^{12}-\-10^{13}$ G and a steady braking index are investigated. Since the tilt angle change rates of pulsars with can be theoretically predicted, a test on the power-law decay model can thus be made by comparing the theoretical values to that obtained from observations. However, such a comparison can only be made on the Crab pulsar currently, and the results show that the power-law decay model is inconsistent with the Crab's observations. We suggest that rather than decay, the Crab's should increase with time at a rate G/s. A definite conclusion on the validity of the power-law decay model for pulsars with ordinary may be given if of other pulsars could be measured.
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