Many-body approach for quartet condensation in strong coupling

The theory for condensation of higher fermionic clusters is developed. Fully self-consistent nonlinear equations for the quartet order parameter in strongly coupled fermionic systems are established and solved. The breakdown of the quasiparticle picture is pointed out. Derivation of numerically tractable approximation is described. The momentum projected factorization ansatz for the order parameter is employed. As a definite example, the condensation of α particles in nuclear matter is worked out.