Evolution of Spin Period and Magnetic Field of the Crab Pulsar: Decay of the Braking Index by the Particle Wind Flow Torque

The evolutions of a neutron star’s rotation and magnetic field (B-field) have remained unsolved puzzles for over half century. We ascribe the rotational braking torques pulsar to both components, standard dipole radiation (MDR) particle wind flow (MDR + Wind, hereafter named MDRW), which we apply Crab (B0531 21), only source with known age long-term continuous monitoring by radio telescope. Based on above presumed simple spin-down torques, obtain exact analytic solution evolution pulsar, together related outcomes as described below: (1) unlike constant characteristic B-field suggested MDR model, this value increases hundred times in 50 kyr while its real has no change; (2) index evolves from ∼3 1 long-term, however, it drops 2.51 2.50 ∼45 years at present stage, contributes approximately 25% total energy loss rate; (3) strikingly, maximum limit ∼10 kyr, meaning that is not always good indicator age. Furthermore, discussed evolutionary path domination comparing possible candidate PSR J1734-3333.