The doubly excited (3pnL)1,3L resonances in H- below the n=3 H threshold

We study the (3pnL)L-1.3 resonances of H- below the n = 3 hydrogen threshold. We report the resonant energies and widths of four P-1(e) resonances, five P-3(e) resonances. three (1)Ddegrees resonances and two (3)Ddegrees resonances. The classification by the set of quantum numbers. (N)(K, T)(n)(A) is made. No (3pnL)(1.3) (L greater than or equal to 3) resonances are found. The present resonant energies and widths were calculated by the saddle-point complex rotation method with B-spline functions. We included the relativistic and QED corrections as first-order perturbation, and considered the coupling effects between the singlet and triplet states to examine the possibility of the resonances of H- (3pnL)(1.3) L dipole series. We found that the series will be terminated after the third resonance for P-1(e) symmetry, the fourth resonance for P-3(e) symmetry, the third resonance for (1)Ddegrees symmetry and the second resonance for (3)Ddegrees symmetry.