The relation between the spin period and the orbital period in high-mass X-ray binaries is investigated. Be/X-ray binaries and SG/X-ray binaries occupy different areas in Corbet's diagram. The two SG/X-ray binaries, IGR J18483-0311 and OAO 1657-415, however, appear to occupy a transition region between Be/X-ray binaries and wind-fed SG/X-ray binaries. This can be understood by noting that the neutron stars in the two SG/X-ray binaries have not reached their equilibrium spin periods when the donors evolved off the main sequence. Here, we provide an alternative scenario to explain their location in Corbet's diagram: the SG/X-ray binaries are the descendants of Be/X-ray binaries, i.e. the supergiants in these systems were formed from O-type emission line stars instead of normal main-sequence stars. Furthermore, we suggest that there are two types of SG/X-ray binaries: one is directly evolved from a normal OB-type main sequence and neutron star system without an X-ray history, and the other evolved from a Be/X-ray binary with an X-ray history.high-mass X-ray binary, pulsar, Corbet's diagram, stellar evolution High-mass X-ray binaries (HMXBs) consist of a compact object, mostly a magnetized neutron star or a black hole, orbiting an early-type massive star. Conventionally, HMXBs can be further divided into two subgroups: Those in which the primary is a Be star (Be/X-ray binary) and those in which the primary is a supergiant (SG/X-ray binary). The majority of the known HMXBs are Be/X-ray systems [1]. Most Be/X-ray binaries have relatively wide orbits with moderate eccentricity and the compact companion spends most of its time far away from the disc surrounding the Be star [2]. An X-ray outburst will be expected during the time of the neutron star's periastron passage, from a low velocity extended envelope around a Be star, and thus collectively termed Be/X-ray transients. In the second group of HMXB systems, the compact star orbits a supergiant early type star, deep inside the highly supersonic wind. The X-ray luminosity is either powered by pure stellar wind accretion or, in the case of the brighter systems, by Roche-lobe overflow via an accretion disk. As a result, the SG/X-ray systems are persistent sources of X-rays, while the Be/X-ray systems are very variable and frequently much brighter.Corbet [3] was the first to notice that there is a relation between the spin period and the orbital period of Be/X-ray binaries. Corbet [4] showed that massive X-ray binaries fall into three separate groups when the pulse period is plotted versus the orbital period. Those systems with unevolved Be companions have a strong correlation between the orbital and spin periods, while systems with wind-fed and disk-fed OB supergiant companions fall into two separate broad regions of the diagram. Therefore, the Corbet's diagram has a predictive as well as diagnostic value [5,6].Corbet [3,4] interpreted this correlation in terms of the equilibrium periods of magnetized neutron stars accreting matter. The equilibrium period corresponds to th...