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It is difficult for intermediate-mass X-ray binaries to form compactintermediate-mass binary pulsars (IMBPs) with a short orbital-period ($\la 3\rm d$), which have a heavy ($\ga 0.4 M_{\odot}$) CO or ONeMg white dwarfcompanions. Since neutron star + He star binaries may experiencecommon-envelope evolution, they have some advantage to account for theformation of short orbital-period IMBPs. In this work, we explore theprobability of IMBPs formed by this evolutionary channel. Using Eggleton'sstellar evolution code, considering that the dead pulsars were spun up by theaccreting material and angular momentum from the He star companions, we havecalculated the evolution of a large number of neutron star + He star binaries.Our simulated results indicate that, the NS + He star evolutionary channel canproduce IMBPs with a WD of $\sim0.5 - 1.1 M_{\odot}$ and an orbital period of$0.03 - 20$ d, in which pulsars have a spin-period of $1.4 - 200$ ms. Comparingthe calculated results with the observational parameters (spin period andorbital period) of 9 compact IMBPs, the NS + He star evolutionary channel canaccount for the formation of 4 sources. Therefore, NS + He star binaries offeran alternative evolutionary channel to compact IMBPs.

Evolution of neutron star + He star binaries: an alternative evolutionary channel to intermediate-mass binary pulsars