The spectra of both protons and alpha particles (1≲E>7 MeV/nucleon) during 31 recurrent particle streams are fit well by an exponential in particle rigidity. Although the spectra show considerable temporal variation, the proton and alpha particle spectra are correlated such that the e-folding rigidities Po(&agr;) and Po(p) of the two spectra are in the ratio Po(p) =l.5¿0.1. The consistency of this ratio may be a characteristic of the interplanetary acceleration process.