N. Winckler,
A. Rybalchenko,
V. Shevelko,
M. Al-Turany,
T. Kollegger,
and T. Stöhlker

Nucl. Instr. Meth. Phys. Res. B,

**BREIT code: Analytical solution of the balance rate equations for charge-state evolutions of heavy-ion beams in matter**Nucl. Instr. Meth. Phys. Res. B,

**392**:67 (February 2017)## Abstract:

A detailed description of a recently developed BREIT computer code (Balance Rate Equations of Ion Transportation) for calculating charge-state fractions of ion beams passing through matter is presented. The code is based on the analytical solutions of the differential balance equations for the charge-state fractions as a function of the target thickness and can be used for calculating the ion evolutions in gaseous, solid and plasma targets. The BREIT code is available on-line and requires the charge-changing cross sections and initial conditions in the input file. The eigenvalue decomposition method, applied to obtain the analytical solutions of the rate equations, is described in the paper. Calculations of non-equilibrium and equilibrium charge-state fractions, performed by the BREIT code, are compared with experimental data and results of other codes for ion beams in gaseous and solid targets. Ability and limitations of the BREIT code are discussed in detail.