Evidence for B+ -> J/psi p(Lambda)over-bar and search for B-0 -> J/psi p(p)over-bar

We have performed a search for the decays B+-->J/psip (&ULambda;) over bar and B-0-->J/psip (p) over bar in a data set of (88.9+/-1.0)x10(6) Y(4S) decays collected by the BABAR experiment at the PEP-II e(+)e(-) storage ring at the Stanford Linear Accelerator Center. Four charged B candidates have been observed with an expected background of 0.21+/-0.14 events. The corresponding branching fraction is (12(-6)(+9))x10(-6), where statistical and systematic uncertainties have been combined. The result can be interpreted as a 90% confidence level (C.L.) upper limit of 26x10(-6). We also find one B-0 candidate, with an expected background of 0.64+/-0.17 events, implying a 90% C.L. upper limit of 1.9x10(-6).