A joint analysis of neutron monitor and GOES data is performed to stud
y the production of high-energy neutrons at the Sun. The main objects
of the research are the spectrum of >50 MeV neutrons and a possible sp
ectrum of primary (interacting) protons which produced those neutrons
during the major 1990 May 24 solar flare. Different possible scenarios
of the neutron production are presented. The high magnitude of the 19
90 May 24 neutron event provided an opportunity to detect neutron deca
y protons of higher energies than ever before. The compare predictions
of the proposed models of neutron production with the observations of
protons on board GOES 6 and 7. It is shown that the 'precursor' in hi
gh-energy GOES channels observed during 20:55-21:09 UT can be naturall
y explained as originating from decay of neutrons in the interplanetar
y medium. The ratio of counting rates observed in different GOES chann
els can ensure the selection of the model parameters. The set of exper
imental data can be explained in the framework of a scenario which ass
umes the existence of two components of interacting protons in the fla
re. A hard spectrum component (the first component) generates neutrons
during a short time while the intel action of the second (soft spectr
um) component lasts longer. Alternative scenarios are found to be of l
esser likelihood. The intensity-time profile of neutron-decay protons
as predicted in the framework of the two-component exponential model o
f neutron production (Kocharov et al., 1994a) is in an agreement with
the proton profiles observed on board GOES. We compare the deduced cha
racteristics of interacting high-energy protons with the characteristi
cs of protons escaping into the interplanetary medium. It is shown tha
t, in the 100-1000 MeV range, the spectrum of the second component of
interacting protons was close to the spectrum of the prompt component
of interplanetary protons. However, it is most likely that, at similar
to 300 MeV, the interacting proton spectrum was slightly softer than
the spectrum of interplanetary protons. An analysis of gamma-ray emiss
ion is required to deduce the spectrum of interacting protons below 10
0 MeV and above 1 GeV.