Exclusive differential cross sections of virtual bremsstrahlung in proton-proton scattering below the pion-production threshold have been measured for the first time. The total cross section integrated over photon invariant masses of 15 to 80 MeV͞c 2 and integrated over the acceptance of the detector is 3.2 6 0.1 6 0.5 pb. The data are compared to a low-energy calculation and a fully relativistic microscopic model, which predict a virtual bremsstrahlung cross section of 3.4 and 5.9 pb, respectively. Over the entire experimentally covered phase space, the low-energy calculation gives a better description of the data than the microscopic model. [S0031-9007(99)08793-1] PACS numbers: 13.75.Cs, 25.10. + s, 25.20.LjThe study of real-photon bremsstrahlung emission during proton-proton collisions below pion-production threshold has recently received a large boost. Highquality, intense, polarized-proton beams together with high-precision detection equipment have provided accurate exclusive cross sections and polarization measurements [1,2]. With the presently achieved accuracies, one is sensitive to details of the nucleon-nucleon interaction. Stateof-the-art calculations [3-6] are now relativistic, showing the sensitivity to negative-energy states, and include nonnucleonic degrees of freedom such as the virtual excitation of the D and meson-exchange currents.The emission of virtual bremsstrahlung ͑p 1 p ! p 1 p 1 g ء ! p 1 p 1 e 1 1 e 2 ͒, on the other hand, has up to now not been investigated. The difficulty in the experimental study of this process arises from the fact that the cross section is lower by approximately a factor of a 1͞137, the fine-structure constant, than the already small cross section for bremsstrahlung associated with real-photon emission. The measurement of virtual photons allows the decomposition of the nucleon current into transverse and longitudinal components as well as interference terms, the so-called nucleonic response functions. Furthermore, the nucleon-nucleon-g ء vertex is measured in the timelike region. Calculations predict a large sensitivity of the nucleonic response functions to the details of the nucleon-nucleon interaction [7].In this paper we present the first measurements of the virtual bremsstrahlung cross section. These studies, performed at 190 MeV, obtained a total of 600 backgroundfree ppe 1 e 2 events. The angular distribution of virtual photons as well as the invariant-mass dependence was determined. The data are compared with predictions based on a relativistic low-energy theorem [8,9], as well as a relativistic microscopic calculation by Martinus et al. [7]. Within the experimental accuracy and phase-space coverage, the data are in rather good agreement with the calculation based on the low-energy theorem, which gives a cross section integrated over the experimentally covered phase space of 3.4 pb. The microscopic model seems to overestimate the experimental cross section, with a predicted cross section for virtual bremsstrahlung of 5.9 pb.The experiment was performed ...