We introduce a parametrization scheme for J/ψ(ψ ′ ) → V P where the effects of SU(3) flavor symmetry breaking and doubly OZI-rule violation (DOZI) can be parametrized by certain parameters with explicit physical interpretations. This scheme can be used to clarify the glueball-q q mixing within the pseudoscalar mesons. We also include the contributions from the electromagnetic (EM) decays of J/ψ and ψ ′ via J/ψ(ψ ′ ) → γ * → V P . Via study of the isospin violated channels, such as J/ψ(ψ ′ ) → ρη, ρη ′ , ωπ 0 and φπ 0 , reasonable constraints on the EM decay contributions are obtained. With the up-to-date experimental data for J/ψ(ψ ′ ) → V P , J/ψ(ψ ′ ) → γP and P → γγ, etc, we arrive at a consistent description of the mentioned processes with a minimal set of parameters. As a consequence, we find that there exists an overall suppression of the ψ ′ → 3g form factors, which sheds some light on the long-standing "ρπ puzzle". By determining the glueball components inside the pseudoscalar η and η ′ in three different glueball-q q mixing schemes, we deduce that the lowest pseudoscalar glueball, if exists, has rather small q q component, and it makes the η(1405) a preferable candidate for 0 −+ glueball.
The effects of intermediate charmed mesons on charmonium transitions with the emission of one pion or eta are studied systematically. Based on a non-relativistic effective field theory we show that charmed meson loops are enhanced compared to the corresponding tree-level contributions for transitions between two S-wave charmonia as well as for transitions between two P -wave charmonia. On the contrary, for the transitions between one S-wave and one P -wave charmonium state, the loops need to be analyzed case by case and often appear to be suppressed. The relation to and possible implications for an effective Lagrangian approach are also discussed. This study at the same time provides a cross check for the numerical evaluations.
We study the weak decays of exotic tetraquark states bcqq with two heavy quarks. Under the SU(3) symmetry for light quarks, these tetraquarks can be classified into an octet plus a singlet: 3 3 = 1 8. We will concentrate on the octet tetraquarks with J P = 0 + , and study their weak decays, both semileptonic and nonleptonic. Hadronlevel effective Hamiltonian is constructed according to the irreducible representations of the SU(3) group. Expanding the Hamiltonian, we obtain the decay amplitudes parameterized in terms of a few irreducible quantities. Based on these amplitudes, relations for decay widths are derived, which can be tested in future. We also give a list of golden channels that can be used to look for these states at various colliders.
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