New Approach to Transitions from Bound to Continuum Three-Nucleon States: The Case of Muon Capture by a Triton

A new approach to the problem of the transition of an $A=3\mathrm{}$ ground state to scattering states via a weakly acting Hamiltonian is presented; calculations are made feasible with realistic nucleon-nucleon potentials. Muon capture by ${}_{}{}^3{}_{}{}^{}\mathrm{H}$ leading to three neutrons is taken as a test case and is carried through till numerical results are obtained.