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We continue exploring our understanding of the collective properties of X-raybinaries in the stellar fields (i.e., outside globular clusters) of normalgalaxies, introduced in Paper I of this series, where we considered high-massX-ray binaries (HMXBs). In this paper (Paper II of the series) and thecompanion paper (Paper III of the series), we consider low-mass X-ray binaries(LMXBs), whose evolutionary scenario is very different from that of HMXBs. Inthis paper, we consider the evolution of primordial binaries upto the stagewhere the neutron star just formed in the supernova explosion of the primary isin a binary with its low-mass unevolved companion, and this binary hascircularized tidally, producing what we call a pre-low-mass X-ray binary(pre-LMXB). We study the constraints on the formation of such pre-LMXBs indetail (since these are low probability events), and calculate their collectiveproperties and formation rate. To this end, we first consider the changes inthe binary parameters in the various steps involved, viz., the common-envelope(CE) phase, the supernova, and the tidal evolution. This naturally leads to aclarification of the constraints. We then describe our calculation of theevolution of the distributions of primordial binary parameters into those ofthe pre-LMXB parameters, following the standard evolutionary scenario forindividual binaries. We display the latter as both bivariate and monovariatedistributions, discuss their essential properties, and indicate the influenceof some essential factors on these. Finally, we calculate the formation rate ofpre-LMXBs. The results of this paper are used in the next one (Paper III) tocompute the expected X-ray luminosity function (XLF) of LMXBs, which iscompared with observation.

Collective Properties of X-ray Binary Populations of Galaxies II. Pre-Low-mass X-ray Binary Properties, Formation Rates, and Constraints