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The issue of the observability of Old Isolated Neutron Stars (ONSs) accretingfrom the interstellar gas, is reconsidered using the spectra presented inZampieri {\it et al.\/} (1995). In particular, we focus our attention on theoverall soft X--ray emission of ONSs, which may provide a substantialcontribution to the X--ray background in the 0.5--2 keV band. It is found thatif accretion is channeled into polar caps by a magnetic field of $\sim 10^9$ G,up to $\sim$ $12-25 \%$ of the unresolved soft excess observed at highlatitudes in the X--ray background can be explained in terms of emission fromaccreting isolated ONSs. However, this would imply the detection with ROSAT of$\sim 10$ sources deg$^{-2}$ above a threshold of $\sim 10^{-14} \, {\rm erg\,cm^{-2} s^{-1}}$. A brief reconsideration of the observability of isolated ONSsas individual X--ray sources is also presented.Comment: 23 pages plus 5 tables, included at the end as separate TeX files (2  postscript figures available upon request), PlainTeX, submitted to ApJ

Old Isolated Accreting Neutron Stars: Contribution to the Soft X-Ray Background in the 0.5--2 keV Band