An Extension of the Quasi-linear Theory on Shock Acceleration to Low-energy Ions

The quasi-linear theory on self-consistent wave generation and ion acceleration upstream of an interplanetary traveling shock by M.A. Lee (1983) applies for highly super-Alfvénic ions amplifying pure Alfvén waves in the solar wind. Data from the CELIAS/STOF sensor on board SOHO and from the magnetometer on board ACE indicate that slightly super-Alfvénic ions interact with proton cyclotron waves in the upstream vicinity of the shock. We extend the theory by Lee (1983) to apply for slightly super-Alfvénic ions and for proton cyclotron waves. In addition to our study of the upstream wave-particle interactions, the wave generation and dissipation processes in the shock transition region and in the downstream plasma are explored.