Coupled rearrangement channel calculation of the fine and hyperfine structures of the antiprotonic helium atom

We precisely calculate the fine and hyperfine structure splittings of the $(v,J)=(1,35)$ state in the antiprotonic helium atom, where v is the vibrational quantum number and J is the total orbital angular momentum. The coupled rearrangement channel method is employed to efficiently describe correlation effects in the three-body system with atomic and molecular characters. An accuracy of better than α²≈50ppm has been achieved. The result obtained is in good agreement with the previous calculation within ~200 ppm. We also examine the correlation effects, in particular orbital polarization effects.