Final State Interaction Effects on theB+→J/ψρ+Decay

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.