High-lying resonances in Ps-H scattering below the H$^{- }$- e$^{+}$ threshold

In this work, we perform a study on high-lying S-wave resonances in Ps-H scattering below the e+-H− threshold. The method of complex-coordinate rotation is applied together with highly correlated wave functions containing all six interparticle distances. Using such Hylleraas bases up to 6412 terms, the energy positions up to the 8S state and the widths up to the 7S state in the Rydberg series converging to the H− threshold are determined. The energies of 4S to 7S states from the present calculations are fitted into the quantum defect formula, from which the energies of higher members in the Rydberg series can be deduced.

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