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, when 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 alpha (2)approximate to 50 ppm has been achieved. The result obtained is in good agreement with the previous calculation within similar to 200 ppm. We also examine the con elation effects, in particular orbital polarization effects.