A Green's function method for heavy ion beam transport

Abtract The use of Green's function has played a fundamental role in transport calculations for high-charge high-energy (HZE) ions. Two recent developments have greatly advanced the practical aspects of implementation of these methods. The first was the formulation of a closedform solution as a multiple fragmentation perturbation series. The second was the effective summation of the closedform solution through nonperturbative techniques. The nonperturbative methods have been recently extended to an inhomogeneous, two-layer transport media to simulate the lead scattering foil present in the Lawrence Berkeley Laboratories (LBL) biomedical beam line used for cancer therapy. Such inhomogeneous codes are necessary for astronaut shielding in space. The transport codes utilize the Langley Research Center atomic and nuclear database. Transport code and database evaluation are performed by comparison with experiments performed at the LBL Bevalac facility using 670A MeV²⁰Ne and 600A MeV⁵⁶Fe ion beams. The comparison with a time-of-flight and E detector measurement for the²⁰Ne beam and the plastic nuclear track detectors for⁵⁶Fe show agreement up to 35%–40% in water and aluminium targets, respectively.Submitted paper presented at the International Symposium on Heavy Ion Research: Space, Radiation Protection and Therapy, Sophia-Antipolis, France 21–24 March 1994