We report the results of a search for a narrow resonance decaying into two photons in 1.1 fb$^{-1}$ of data collected by the D0 experiment at the Fermilab Tevatron Collider during the period 2002-2006. We find no evidence for such a resonance and set a lower limit on the mass of a fermiophobic Higgs boson of $m_{h_f}>100$ GeV at the 95% C.L. This exclusion limit exceeds those obtained in previous searches at the Tevatron and covers a significant region of the parameter space $B(h_{f}\to\gamma\gamma)$ vs. $m_{h_f}$ which was not accessible at the CERN LEP Collider.

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