The inelastic interactions of 10.1-GeV/c positive and 15.8-GeV/c negative muons produced at the Brookhaven alternating gradient synchrotron have been studied in nuclear emulsions. Secondary particles produced in these interactions have been identified; their energy spectrum and angular distribution (in the c.m. system) are given for pions, kaons, and protons along with their partial cross sections. The inclusive pion-production reaction is studied and the relative shapes of the P t Z (squared transverse momentum) and p, (longitudinal momentum) distributions are discussed and compared with yp, np, and pp reactions. The partial and integral cross sections have been measured for both beams along with the energy dependence of their total cross sections and are compared with theory by using the first, second, and fourth powers of 1/ (1 + q 2 / m D 2 ) for u , ,~(~~, v), the quantity commonly called the "virtual-photon-nucleon total cross section." The values of the structural function vW, are calculated for 0.025 G q 2 G0.3 ( G~V / C )~ and large values of a'> 10. The present data are compared with the previous muon data of Perl at low q 2 values, and various theoretical models are considered to test scaling at low q 2 values.
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