<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>φ</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ω</mml:mi></mml:math>meson production in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>pp</mml:mi></mml:math>reactions at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">lab</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mn>3.67</mml:mn><mml:mn/><mml:mi> </mml:mi><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo>/</mml:mo><mml:mi>c</mml:mi></mml:math>

The exclusive production cross sections for $\ensuremath{\omega}$ and $\ensuremath{\varphi}$ mesons have been measured in proton-proton reactions at ${p}_{\mathrm{lab}}=3.67 \mathrm{GeV}/c.$ The observed $\ensuremath{\varphi}/\ensuremath{\omega}$ cross section ratio is $(3.8\ifmmode\pm\else\textpm\fi{}{0.2}_{\ensuremath{-}0.9}^{+1.2})\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}.$ After phase space corrections, this ratio is enhanced by about an order of magnitude relative to naive predictions based upon the Okubo-Zweig-Iizuka (OZI) rule, in comparison to an enhancement by a factor $\ensuremath{\sim}3$ previously observed at higher beam momenta. The modest increase of this enhancement near the production threshold is compared to the much larger increase of the $\ensuremath{\varphi}/\ensuremath{\omega}$ ratio observed in specific channels of $\overline{p}p$ annihilation experiments. Furthermore, differential cross section results are also presented which indicate that although the $\ensuremath{\varphi}$ meson is predominantly produced from a ${}^{3}{P}_{1}$ proton-proton entrance channel, other partial waves contribute significantly to the production mechanism at this beam momentum.