Abstract
Beginning with the QCD Lagrangian in the global color symmetry model, we have derived a Hamiltonian including the lowest order current-current coupling. Taking instantaneous quadratic interaction kernel and using the Bogoliubov–Valatin transformation, we have got an effective Hamiltonian for computation. This Hamiltonian is similar to that introduced by Le Yaouanc et al., except that the α-α term has been considered here. We calculated the condensation in the BCS type of vacuum with quark mass and α-α term included. Our calculation shows that the value of condensation has increased by at least 10% with the α-α term included.
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