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In multiquark correlator analyses with 1/Nc classifications, it is possibleto separate the scattering background and to justify the factorization ofcondensates, which allows us to achieve an isolated peak saturation in the QCDsum rules for multiquark currents. Then we can extract leading Nc properties ofthe ground state. An application to the sigma meson is demonstrated.

QCD Sum Rules and 1/$N_c$ expansion: On the low energy dominance and separation of scattering backgrounds