Calculation of positron scattering on H$_2^+$

Studies of positron scattering on H$_2^+$ are important part of positron transport modelling through H$_2^+$ and H$_2$ gases and provide a testing ground for theoretical approaches to positron collisions with charged and more complex molecular systems. The convergent close-coupling (CCC) method has been applied to study positron scattering from the vibrational ground state of the molecular hydrogen ion and obtain cross-sections for total inelastic scattering, dissociative excitation, ionisation, proton production for incident energies from 10 to 500~eV. Mass stopping power and mean excitation energy have also been evaluated. The results have been compared with available previous calculations and with corresponding cross sections for positron and electron collisions with He$^+$, H$_2^+$, and H$_2$. In the absence of experimental data and scarcity of other theoretical work for this important collision system, the current calculations will provide a useful complete data set for positron transport studies.