Conditions for disk instability in low-mass X-ray binaries (LMXBs) hav
e been recently considered with X-ray irradiation of the disk included
. Conservative evolution was generally assumed, which, however, fails
in wide LMXBs with a neutron star primary (NLMXBs). If the orbital per
iod of an LMXB is long enough, the mass transfer rate becomes super-Ed
dington, and the evolution is likely to be nonconservative. Adopting t
he Eddington limited accretion hypothesis, we have calculated the evol
ution of NLMXBs driven by nuclear expansion of the secondary, and obta
ined a modified boundary between persistent and transient behavior in
NLMXBs. We briefly discuss the applications to low-mass binary radio p
ulsars (LMBPs) and suggest a new scenario for the progenitor system of
the bursting X-ray pulsar GRO J1744-28.