We construct the spin-flavor wave functions of the possible heavy pentaquarks containing an anticharm or anti-bottom quark using various clustered quark models. Then we estimate the masses and magnetic moments of the J P = 1 2 + or 3 2 + heavy pentaquarks. We emphasize the difference in the predictions of these models. Future experimental searches at BESIII, CLEOc, BELLE, and LEP may find these interesting states.

We calculate the π, ρ, ω, and γ coupling constants between the heavy meson doublets (1 − , 2 − ) and (0 − , 1 − )/(0 + , 1 + ) within the framework of the light-cone QCD sum rule at the leading order of heavy quark effective theory. Most of the sum rules are stable with the variations of the Borel parameter and the continuum threshold. Then we calculate the strong and electromagnetic decay widths of the (1 − , 2 − ) D-wave heavy mesons. Their total widths are around several tens of MeV, which is helpful in the future experimental search.

We have calculated the magnetic moment of the recently observed Θ + pentaquark in the framework of the light cone QCD sum rules using the photon distribution amplitudes. We find that µ Θ + = (0.12 ± 0.06)µ N , which is quite small. We also compare our result with predictions of other groups.

We calculate the magnetic moments of the pentaquark states from different models and compare our results with predictions of other groups.

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