We have made an experimental check of an influence caused by external background of slow thermal neutrons on the temporal distribution of the signals from the standard NM64 supermonitor used as a detector of hadron component of extensive air showers with the energy above 1015 eV. Special attention in our study was paid to the possible connection of this background with the anomalously (up to a few milliseconds) delayed signals from the neutron monitor which were detected when the shower cores passed in its close vicinity. It has been found that in spite of the long, up to tens of milliseconds, presence of thermal neutrons nearby the shower axis, these external neutrons do not have any effect on the temporal behaviour of the neutrons diffusing inside the monitor as well as on the distribution of gamma-radiation accompanying the absorption of the latter.
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