NON-ADIABATIC CALCULATION OF ENERGIES AND WIDTHS OF THE RESONANT STATES OF MUONIC HELIUM HYDRIDE IONS Yasushi Kino*, Masayasu Kamimura# and Hiroshi Kudo* *Department of Chemistry, Tohoku University, Sendai 980-8578, #Department of Physics, Kyushu University, Sendai 812-8581 To calculate the energy and the width of the xHem (x=d,t, He=3He,4He) resonant states accurately, we solve the (Hem)1s + x scattering problem with the use of the non-adiabatic coupled-channel method, because the resonances have extremely narrow widths ($\sim 0.1$ meV) lying at high relative energies (\sim 8$ keV) which is same order of muon inner-motion. The energies and the widths of the resonances show a strong isotope dependence.