We study the Borel sum rule for the tensor amplitude of the processes J/<FONT FACE=Symbol>y p ®</FONT> <IMG SRC="/img/revistas/bjp/v33n2/a30img01.gif" >D*,<IMG SRC="/img/revistas/bjp/v33n2/a30img01.gif"> D, <IMG SRC="/img/revistas/bjp/v33n2/a30img01.gif" >*D* and <IMG SRC="/img/revistas/bjp/v33n2/a30img01.gif" >D*. We also evaluate the cross sections as a function of <IMG SRC="/img/revistas/bjp/v33n2/a30img02.gif" >. We find that our results are smaller than the J/<FONT FACE=Symbol>y p ®</FONT> charmed mesons cross sections obtained with models based on meson exchange, but are close to those obtained with quark exchange models.