Total molecular gas masses of Planck - Herschel selected strongly lensed hyper luminous infrared galaxies

We report the detection of CO(1-0) line emission from seven Planck and Herschel selected hyper luminous (LIR(8-1000 mu m) > 10(13) L-circle dot) infrared galaxies with the Green Bank Telescope (GBT). CO(1-0) measurements are a vital tool to trace the bulk molecular gas mass across all redshifts. Our results place tight constraints on the total gas content of these most apparently luminous high-z star-forming galaxies (apparent IR luminosities of L-IR > 10(13-14) L-circle dot), while we confirm their predetermined redshifts measured using the Large Millimeter Telescope, LMT (zCO = 1.33-3.26). The CO(1-0) lines show similar profiles as compared to J(up) = 2-4 transitions previously observed with the LMT. We report enhanced infrared to CO line luminosity ratios of < L-IR/L '(CO(1-0))> = 110 +/- 22 L-circle dot (K km s(-1) pc(-2))(-1) compared to normal star-forming galaxies, yet similar to those of well-studied IR-luminous galaxies at high-z. We find average brightness temperature ratios of < r(21)> = 0.93 (2 sources), < r(31)> = 0.34 (5 sources), and < r(41)> = 0.18 (1 source). The r(31) and r(41) values are roughly half the average values for SMGs. We estimate the total gas mass content as mu M-H2 = (0.9-27.2) x 10(11)(alpha(CO)/0.8) M-circle dot, where mu is the magnification factor and mu(CO) is the CO line luminosity to molecular hydrogen gas mass conversion factor. The rapid gas depletion times, <tau depl > = 80 Myr, reveal vigorous starburst activity, and contrast the Gyr depletion time-scales observed in local, normal star-forming galaxies.