Reduced-mass Fock-Tani representations for ${\mathit{a}}^{+}$+(${\mathrm{b}}^{+}$${\mathrm{c}}^{\mathrm{-}}$)→(${\mathrm{a}}^{+}$${\mathrm{c}}^{\mathrm{-}}$)+${\mathrm{b}}^{+}$ and first-order results for {abc}={ppe, epe, μpμ, μdμ, and μtμ}

The Fock-Tani transformation in the Jacobi three→two-body reduced-mass system is carried out and the first-order T matrix is found to be identical to that for the full three-body transformation. The Fock-Tani transformation in the reduced-mass system in which particle b is fixed at the origin is found to give a first-order T matrix with an error of $m_c$/$m_b$ in the initial momentum wave function. First-order differential and total cross sections are calculated for ${\mathit{a}}^{+}$+(${\mathrm{b}}^{+}$ ${\mathrm{c}}^{\mathrm{-}}$)→(${\mathrm{a}}^{+}$ ${\mathrm{c}}^{\mathrm{-}}$)+${\mathrm{b}}^{+}$ where {abc}={ppe, epe, μpμ, μdμ, and μtμ}. .AE