Empirical constraints of supergalactic winds at z? 0.5

Under the hypothesis that Mg?ii absorbers found near the minor axis of a disc galaxy originate in the cool phase of supergalactic winds, we carry out a study to constrain the properties of large-scale galactic outflows at redshift zgal greater than or similar to 0.5 based on the observed relative motions of individual absorbing clouds with respect to the positions and orientations of the absorbing galaxies. We identify in the literature four highly inclined disc galaxies located within 50?kpc and with the minor axis oriented within 45 degrees of a background quasi-stellar object (QSO) sightline. Deep Hubble Space Telescope images of the galaxies are available for accurate characterizations of the optical morphologies of the galaxies. High-quality echelle spectra of the QSO members are also available in public archives for resolving the velocity field of individual absorption clumps. Three galaxies in our sample are located at ? = 834?kpc and exhibit strong associated Mg?ii absorption feature with Wr(2796)greater than or similar to 0.8 angstrom. One galaxy, located at an impact parameters ? = 48?kpc, dose not show an associated Mg?ii absorber to a 3 sigma limit of Wr(2796)=0.01?angstrom. Combining known morphological parameters of the galaxies such as the inclination and orientation angles of the star-forming discs, and resolved absorption profiles of the associated absorbers at ? < 35?kpc away, we explore the allowed parameter space for the opening angle theta 0 and the velocity field of large-scale galactic outflows as a function of z-height, v(z). We find that the observed absorption profiles of the Mg?ii doublets and their associated Fe?ii series are compatible with the absorbing gas being either accelerated or decelerated, depending on theta 0, though accelerated outflows are a valid characterization only for a narrow range of theta 0. Under an acceleration scenario, we compare the derived v(z) with predictions from Murray et al. and find that if the gas is being accelerated by the radiation and ram pressure forces from super star clusters, then the efficiency of thermal energy input from a supernova explosion is epsilon less than or similar to 0.01. In addition, we adopt a power-law function from Steidel et al. for characterizing the accelerated outflows as a function of z-height, a(z) alpha z-alpha. We find a steep slope of alpha approximate to 3 for a launch radius of zmin = 1?kpc. A shallower slope of alpha approximate to 1.5 would increase zmin to beyond 4?kpc. We discuss the implications of these parameter constraints.