A comprehensive, three-dimensional drift model is used to study the solar modulation of cosmic ray protons and particularly of anti-protons. Spectra for protons and anti-protons from 10 MeV to 70 GeV are computed based on revisited local interstellar spectra for these particles. This is done for a complete solar cycle from 2006 to 2017, which includes the prolonged deep solar minimum period of 2006-2009 and the magnetic polarity reversal period of Oct 2012 to April 2014. The study highlights the modulation differences between these particles and addresses the level of particle drifts that is required to explain in detail the observed ant-proton to proton ratio, especially for the reversal period.

The solutions of a comprehensive three-dimensional drift model are compared to PAMELA and AMS-02 spectra of electrons and positrons in order to describe and understand their different modulation down to 1 MeV. This is based on newly constructed very local interstellar spectra. The focus of the study is on a full solar cycle, the period from 2006 to 2017. Comparison of observations and modeling provides insight into how the three major diffusion coefficients change during a complete solar cycle, especially during a prolonged solar minimum and the period of the polarity reversal of the magnetic field during solar maximum activity, and to what extent drift effects evolve. In this context, the electron to positron ratio is computed from 1 MeV to 50 GeV, explaining the PAMELA and AMS-02 observed ratio in detail. Predictions are made of what may be observed during the next, imminent solar minimum.