We present continuum random phase approximation (CRPA) calculations for charged-current neutrino-nucleus scattering. The CRPA formalism is based on a Green’s-function approach, and the calculations can be done in a self-consistent fashion when using an effective nucleon-nucleon force of the Skyrme type. We analyze the technical aspects related to the description of charge-exchange reactions within this approach, and study the sensitivity of the results to the single-particle characteristics of the formalism. Muon capture is studied as a test case. In applications of the formalism, we concentrate on neutrino-scattering off ${}^{12}\mathrm{C}$ and ${}^{16}\mathrm{O},$ and pay attention to interactions of experimental interest.

• Received 17 July 2001

DOI:https://doi.org/10.1103/PhysRevC.65.025501