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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Within the framework of the QCD sum rules, we consider the three-point correlation function, work at the limit q 2 ! 0 and m ! 0, and pick out the singular term $ 1 q 2 to extract the pionic coupling constants of the 1 Àþ hybrid meson. Then, we calculate the decay widths of different modes. The decay width of the S-wave modes b 1 , f 1 increases quickly as the hybrid meson mass and decay momentum increase. But for the low mass hybrid meson around 1.6 GeV, the P-wave decay mode is very important and its width is around 180 MeV, while the widths of and 0 are strongly suppressed. We suggest the experimental search of 1 ð1600Þ through the decay chains at the Beijing Spectrometer: J=c ðc 0 Þ ! 1 þ or J=c ðc 0 Þ ! 1 þ , where the 1 state can be reconstructed through the decay modes 1 ! ! þ À 0 or 1 ! f 1 ð1285Þ 0 . It is also interesting to look for 1 using the available BELLE/ BABAR data through the process e þ e

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Using the SU (3) flavor symmetry, we construct the chiral Lagrangians for the light and heavy pentaquarks. The correction from the nonzero quark is taken into account perturbatively. We derive the Gell-Mann−Okubo type relations for various pentaquark multiplet masses and ColemanGlashow relations for anti-sextet heavy pentaquark magnetic moments. We study possible decays of pentaquarks into conventional hadrons. We also study the interactions between and within various pentaquark multiplets and derive their coupling constants in the symmetry limit. Possible kinematically allowed pionic decay modes are pointed out.