K-shell ionization of copper by proton and antiproton impact

Complete text of publication follows. In this work K-shell ionization cross sections of copper are studied theoretically. We applied various quantum mechanical approximations (ECPSSR - based on the planewave Born approximation using hydrogenic wave functions, corrected for the energy loss of the projectile during the collision (E), for the deceleration and deflection of the projectile in the Coulomb field (C), for the perturbation of the stationary target electron states by the passing projectile (PSS), and for relativistic electron motion (R), PWBA-BC - relativistic plane wave Born approximation including binding, polarization and Coulomb deflection corrections) and a classical trajectory Monte Carlo (CTMC) method. For the classical case we used the frozen charge state model and we used the Slater-rule for the determination of the static nuclear charge of 1s electron bound to the copper nucleus. The present calculations were performed solving the nonrelativistic classical equations. Table. 1 shows our calculated K-shell ionization cross sections of Cu as a function of the proton and antiproton impact. Our present data are in good agreement with the fitted reference cross sections of Paul and Sacher. Moreover, we found that at the present impact energies the classical and quantum results are very close to each other. Acknowledgements. This work was supported by the Hungarian Scientific Research Fund OTKA No. K72172.