Our main intention to find the photonionization cross section (s) and asymmetry parameter (b) for photoelectron in the reaction hn + Xe(1s² 2s² 2p⁶ 3s² 3p⁶ 3d¹⁰ 4s² 4p⁶ 4d¹⁰ 5s² 5p⁶) ® Xe⁺(1s² 2s² 2p⁶ 3s² 3p⁶ 3d¹⁰ 4s² 4p⁶ 4d¹⁰ 5s² 5p⁵) + e^- employing the Russell-Saunders (R-S) coupling and j-j coupling schemes under Hartree-Fock (HF) wave function in the non-relativistic R-matrix and relativistic R-matrix (RR-matrix) methods for length and velocity forms for experimental observations. Computation is done in the range of experimental observations and compared with other predictions. Present result shows that that the independent particle model (IPM) completely fails.