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We present a study of exclusive production of $\pi^{0}$ meson inproton-proton collisions at high energies. Both diffractive bremsstrahlung(Drell-Hiida-Deck type model), photon-photon, photon-omega and photon-odderonexchange mechanisms are included in the calculation. The$\pi^{0}$-bremsstrahlung contribution dominates at large (forward, backward)pion rapidities and contributes at small $\pi^0 p$ invariant mass and could betherefore misinterpreted as the Roper resonance $N^{*}(1440)$. Large crosssections of the order of mb are predicted. We predict strong dependence of theslope in $t$ (squared four-momentum transfer between ingoing and outgoingproton) on the mass of the supplementary excited $\pi^{0} p$ system. At highenergy and midrapidity, the photon-photon contribution dominates over thediffractive components, however, the corresponding cross section is rathersmall. The photon-odderon and odderon-photon contributions are included inaddition and first estimates (upper limits) of their contributions arepresented. We suggest a search for the odderon contribution at midrapidity andat $p_{\perp,\pi^{0}} \sim$ 0.5 GeV. Our predictions are ready for verificationat LHC. The bremsstrahlung mechanisms discussed here contribute also to the $pp\to p(n \pi^{+})$ reaction. Both channels give a sizable contribution to thelow-mass single diffractive cross section and must be included in extrapolatingthe measured experimental single diffractive cross section.

Diffractive mechanisms in $pp \to pp \pi^{0}$ reaction at high energies