Abstract
The exclusive decay ofB+→J/ψρ+is studied in the framework of the QCD factorization (QCDF) method and final state interaction (FSI). A directB+→J/ψρ+decay is only occurred via a tree and a penguin based on the quark diagram analysis. The result that is found by using the QCDF method is less than the experimental result, so, the role of FSI is considered. The intermediate statesD+D̅0,D+*D̅0*,D+*D̅0, andD+D̅0*via the exchange ofD-andD-*are contributed to theB+→J/ψρ+decay. The above intermediate states is calculated by using the QCDF method. In the FSI effects the results of our calculations depend on “η” as the phenomenological parameter. The range of this parameter are selected from 1 to 2. For the exchanged particlesD-andD-*, it is found that ifη=1.58~1.83is selected the numbers of the branching ratio are placed in the experimental range. The experimental branching ratio ofB+→J/ψρ+decay is(5±0.8)×10-5, and our prediction number is(1.42±0.36)×10-5in the absence of FSI effects, and it becomes(4.2~5.8)×10-5when FSI contributions are taken into account.
Highlights
The importance of FSI in weak nonleptonic B meson decays is investigated by using a relativistic chiral unitary approach based on coupled channels 1–3
We note that our estimate of branching ratio of B → J/ψρ decay according to QCDF method seems less than the experimental result
We have calculated the contribution of the t-channel FSI, that is, inelastic rescattering processes to the branching ratio of B → J/ψρ decay
Summary
The importance of FSI in weak nonleptonic B meson decays is investigated by using a relativistic chiral unitary approach based on coupled channels 1–3. The FSI can be considered as a rescattering process of some intermediate two-body states with one particle exchange in the t-channel and computed via the absorptive part of the hadronic loop level HLL diagrams. Since the particle exchanged in the t-channel is off shell and since final state particles are hard, form factors or cutoffs must be introduced to the strong vertices to render the calculation meaningful in perturbation theory. We calculated the B → J/ψρ decay according to QCDF method and selected the leading order Wilson coefficients at the scale mb and obtained the BR B → J/ψρ. Rescattering amplitude can be derived by calculating the absorptive part of triangle diagrams In this case, intermediate states are D D0, D ∗D0∗, D ∗D0, and D D0∗. The effective coefficients ai, which are specific to the factorization approach, and defined as ai cieff
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