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We report the high resolution photoassociation (PA) spectroscopy of a$^{87}Rb$ Bose-Einstein condensate (BEC) to excited molecular states near thedissociation limit of $5P_{1/2} +5S_{1/2}$ by optical Bragg scattering. Sincethe detection of optical Bragg scattering in BEC has a high signal-noise ratio,we obtain the high resolution PA spectrum of excited molecular states in therange of $\pm1$ GHz near the dissociation limit of $5P_{1/2} +5S_{1/2}$. Wecompare the results with the conventional method of trap loss and show that theresults agree each other very well. Many interesting phenomena of excitedmolecular states are observed, such as light-induced frequency shift and theanomalous strong bound molecular lines at the atomic transition from$|F=1\rangle$ to $|F^{\prime}=2\rangle$. The observed excited molecular statesin the range of $\pm1$ GHz near the dissociation limit of $5P_{1/2} +5S_{1/2}$are never reported before, which will help to further improve the long rangebound state models near the dissociation limit.

Photoassociation spectroscopy of weakly bound $^{87}Rb_{2}$ molecules  near $5P_{1/2} +5S_{1/2}$ threshold by optical Bragg scattering in  Bose-Einstein condensates