****************************************************** PR # 31054 It is generally believed that rotation-powered pulsars in the globul ar clusters are the descendants of bright LMXBs. It is, however, imp ossible to explain the number of rotation-powered pulsars in the glo bular clusters by only 12 bright LMXBs so far found. As an alternati ve, we consider that the dim X-ray source contributes significantly to the formation of the rotation-powered pulsar in the globular clus ters. We propose to observe nearby globular clusters in order to cou nt up dim cluster sources as well as to perform spectroscopy to mak e it clear the nature of the dim cluster sources. ******************************************************