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Photoassociation (PA) spectrum in the presence of a magnetic Feshbachresonance is analyzed. Nonperturbative solution of the problem yieldsanalytical expressions for PA linewidth and shift which are applicable forarbitrary PA laser intensity and magnetic field tuning of Feshbach Resonance.We show that by tuning magnetic field close to Fano minimum, it is possible tosuppress power broadening at increased laser intensities. This occurs due toquantum interference of PA transitions from unperturbed and perturbedcontinuum. Line narrowing at high laser intensities is accompanied by largespectral shifts. We briefly discuss important consequences of line narrowing incold collisions.

Suppression of power-broadening in strong-coupling photoassociation in the presence of a Feshbach resonance