Mass polarization effect on the resonant energies ofp¯-He+ions and the protonium formation in low-energy antiproton–hydrogen-atom collisions

We present a time-dependent method to investigate the mass polarization effect on the resonant energies of p̅ -He+ and the state-specified protonium formation in low-energy antiproton–hydrogen-atom collisions in Jacobi coordinates. Comparing with our previous calculations in the V-shaped coordinates by neglecting the mass polarization, we confirm that the mass polarization effect on the protonium formation is negligibly small. We also calculated the resonant energies of p̅ -He+ in the V coordinates and Jacobi coordinates. The differences of the resonant energies between the two calculations are less than 4 meV. This also confirms that the mass polarization effect is negligibly small even in the resonant region