  The neutron star low mass X-ray binary (LMXB) AX J1745.6-2901 was detected an
anomalously fast decrease of orbital period. The decreasing rate of orbital
period exceeds the contribution of all processes extracting angular momentum
from the binary star in standard model. Using SCENARIO MACHINE code we
conducted a population synthesis study of X-ray novae with neutron stars to
investigate a possible formation and evolution of such binaries. Such close
LMXBs should experience a preceding common envelope stage, in which the
magnetic fields of the low mass main-sequence donor stars can be dramatically
amplified. Our calculations show that the magnetic stellar wind of the optical
companion can efficiently extract angular momentum from the binary systems, and
produce the observed orbital-period derivatives of AX J1745.6-2901 and black
hole LMXBs. The estimated values of the required magnetic field induction are
following: $B_\textrm{d}\approx 400$ G (AX~J1745.6-2901), $B_\textrm{d}\approx
1500$ G (KV UMa), $B_\textrm{d}\approx 400$ G (A0620-00), $B_\textrm{d}\approx
1800$ G (Nova Muscae). We successfully reproduced the current observational
abundance of such anomalous neutron star X-ray novae, and computed the
appropriate value of the parameter of magnetic braking $\lambda_\textrm{MSW}$
($0.8-0.6$ for Roche lobe filling stars and $0.4-0.15$ for binaries with
partial Roche lobe filling).

High Energy Astrophysical Phenomena;Solar and Stellar Astrophysics