Abstract
A self-consistent theory for quartet condensation in homogeneous infinite nuclear matter is proposed. It goes along similar lines as Gorkov theory for pairing. However, details and physical consequences are very different. For example in the quartet case no sharp quasi-particle pole develops in the single particle propagator. Also quartet condensation only exists in the BEC phase and no extended coherence length develops in weak coupling. The critical temperature for quartet condensation is also investigated in analogy to the Thouless criterion for pairing.
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