## Quantum-mechanical Few-body Scattering Equations: With Half-on-shell Energy-independent Subsystem Input |

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### Contents

TwoBody Scattering p | 10 |

The ThreeBody Problem | 22 |

ThreeBody Equations With HalfOnShell Input p | 37 |

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### Common terms and phrases

6-function amplitude components amplitudes and bound angular momentum decomposition bound state wavefunctions bound-state boundary conditions breakup amplitude channel eigenstates channel Hamiltonians Chap Chapter complete set consider corresponding defined disconnected pieces driving terms dynamical equations E-iO E+io effective potentials eigenfunctions factor Faddeev components Faddeev equations Faddeev operator Faddeev-Yakubovskii four-body scattering Fredholm alternative free from primary full wavefunction fully-off-shell amplitudes FY components FY formalism Green's function Hilbert space initial integral equations interactions Jost function kernel kinematic labeled Lippmann-Schwinger Equation LS equations nonphysical amplitude obtain off-shell outgoing pair physical scattering amplitudes physical singularities physical transition amplitudes plane wave primary singularities recall representation S-matrix components S-wave scattering solution scattering theory singularity analysis singularity structure singularity-free splitting third free particle three-body equations three-body formalism three-body problem three-body S-matrix three-body scattering three-body theory three-body wavefunction transition operator two-body bound two-body problem two-body scattering two-body t-matrix vertex function wavefunction components