We extend the ab initio no-core shell model/resonating-group method (NCSM/RGM) to projectile-target binary-cluster states where the projectile is a deuteron. We discuss the formalism in detail and give algebraic expressions for the integration kernels. Using a soft similarity-renormalization-group evolved chiral nucleon-nucleon potential, we calculate deuteron-${}^4\mathrm{He}$ scattering and investigate ${}^6\mathrm{Li}$ bound and unbound states. Virtual three-body breakup effects are obtained in an approximated way by including excited pseudostates of the deuteron in the calculation. We compare our results to experiment and to a standard NCSM calculation for ${}^6\mathrm{Li}$.

• Received 13 February 2011

DOI:https://doi.org/10.1103/PhysRevC.83.044609