Measurement of the form factors in the decay D+ -> omega e(+)nu(e) and search for the decay D+ -> phi e(+)nu(e)

Using 2.92 fb(-1) of electron-positron annihilation data collected at a center-of-mass energy of root s = 3.773 GeV with the BESIII detector, we present an improved measurement of the branching fraction B(D+ -> omega e(+)nu(e)) = (1.63 +/- 0.11 +/- 0.08) x 10(-3). The parameters defining the corresponding hadronic form factor ratios at zero momentum transfer are determined for the first time; we measure them to be r(V) = 1.24 +/- 0.09 +/- 0.06 and r(2) = 1.06 +/- 0.15 +/- 0.05. The first and second uncertainties are statistical and systematic, respectively. We also search for the decay D+ -> phi e(+)nu(e). An improved upper limit B(D+ -> phi e(+)nu(e)) <1.3 x 10(-5) is set at 90% confidence level.