Resonances in PsH below the p+Ps$^-$ threshold

Recently, Di Rienzi and Drachman carried out an investigation of high-lying resonances in the Ps-H system lying below the Ps$^-$ + H$^+$ threshold~[1]. Using an effective potential formalism, they calculated the resonance energies for some S, P and D states. In the present work, we present a calculation of S-wave resonances lying below the p + Ps$^-$ threshold by using the method of complex-coordinate rotation~[2]. We use elaborate Hylleraas wave functions~[3] in which all the six inter-particle coordinates are included~[4]. Using up to 6412 terms in the basis functions, resonance energies and widths for several lower members of a Rydberg series are calculated. At the meeting, we will compare our preliminary results with those of the earlier calculation~[1]. \newline [1] J. Di Rienzi and R. J. Drachman, Phys. Rev. A 76 (2007) 032705. \newline [2] Y. K. Ho, Phys. Rept. 99 (1983) 1, and references therein. \newline [3] Z.-C. Yan and Y. K. Ho, Phys. Rev. A 59 (1999) 2697. \newline [4] Z.-C. Yan and G. W. F. Drake, J. Phys. B. 30 (1997) 4723.