SGR 0418+5729 - How does a Young Neutron Star Spin Down to a 9 s Period with a Dipole Field less than 10^13 G?
M.A. Alpar, U. Ertan, S. Caliskan

TL;DR
This paper investigates how a young neutron star like SGR 0418+5729 can spin down to a 9-second period with a low dipole magnetic field, suggesting fallback disks as a key mechanism.
Contribution
It proposes a fallback disk model explaining the neutron star's spin-down to a long period despite a low dipole magnetic field, challenging the magnetar paradigm.
Findings
Fallback disks can spin down neutron stars to 9 seconds in 10^4-10^5 years.
The neutron star's total magnetic field may be much larger than the dipole component.
The age of SGR 0418+5729 is estimated to be over 10^5 years.
Abstract
The period derivative bound for SGR 0418+5729 (Rea et al. 2010) establishes the magnetic dipole moment to be distinctly lower than the magnetar range, placing the source beyond the regime of isolated pulsar activity in the P - dP/dt diagram and giving a characteristic age > 2 \times 10^{7} years, much older than the 10^5 year age range of SGRs and AXPs. So the spindown must be produced by a mechanism other than dipole radiation in vacuum. A fallback disk will spin down a neutron star with surface dipole magnetic field in the 10^{12} G range and initial rotation period P_0 ~ 100 ms to the 9.1 s period of SGR 0418+5729 in a few 10^4 to ~10^5 years. The current upper limit to the period derivative gives a lower limit of \sim 10^5 years to the age that is not sensitive to the neutron star's initial conditions. The total magnetic field on the surface of SGR 0418+5729 could be significantly…
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