The production of positive pions and neutrons by cosmic muons at under
ground sites of various depths is investigated. We first test the equi
valent photon method in the particular case of Delta excitation by the
muon. We find that this method, when it neglects the momentum depende
nce of the transverse response, reproduces remarkably well the theoret
ical muon cross section. This success has lead us to apply the method
to higher energies, where it has not been tested. We evaluate in this
way the production of positive pions in liquid scintillator from known
photo-absorption cross sections. At a shallow depth of 20 meters our
estimate reproduces the measurement. As for the neutron emission, we i
nclude the obvious sources, such as the giant-resonance excitation, th
e quasideuteron process, the quasifree pion production as well as neut
rons emitted following pion capture. Our evaluation underestimates the
number of neutrons produced and finds a too weak dependence on the de
pth. This suggests that secondary neutron production is important at a
ll depths.