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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-4He scattering and investigate 6Li bound and unbound states. Virtual three-body breakup effects are obtained in an approximated way by including excited pseudo-states of the deuteron in the calculation. We compare our results to experiment and to a standard NCSM calculation for 6Li.

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