HST Observations of the QSO pair Q1026-0045A,B
  The spatial distribution of the Ly$\alpha$ forest is studied using new HST data for the quasar pair Q~1026--0045 A and B at $z_{em}$ = 1.438 and 1.520 respectively. The angular separation is 36 arcsec and corresponds to transverse linear separations between lines of sight of $\sim300h^{-1}_{50}$ kpc ($q_{o}$ = 0.5) over the redshift range 0.833 < z < 1.438. From the observed numbers of coincident and anti-coincident Ly$\alpha$ absorption lines, we conclude that, at this redshift, the Ly$\alpha$ structures have typical dimensions of $\sim500h^{-1}_{50}$ kpc, larger than the mean separation of the two lines of sight. The velocity difference, $\Delta V$, between coincident lines is surprisingly small (4 and 8 pairs with $\Delta V < 50 and 200 km/s respectively).   Metal line systems are present at $z_{abs}$ = 1.2651 and 1.2969 in A, $z_{abs}$ = 0.6320, 0.7090, 1.2651 and 1.4844 in B. In addition we tentatively identify a weak Mg II system at $z_{abs}$ = 0.11 in B. It is remarkable that the $z_{abs}$ = 1.2651 system is common to both lines of sight. The system at $z_{abs}$ = 1.4844 %is probably associated and has strong O~VI absorption.   There is a metal-poor associated system at $z_{abs}$ = 1.4420 along the line of sight to A with complex velocity profile. We detect a strong Ly$\alpha$ absorption along the line of sight to B redshifted by only 300 km/s relatively to the associated system. It is tempting to interpret this as the presence of a disk of radius larger than 300$h^{-1}_{50}$ kpc surrounding quasar A. 
Patrick Petitjean, Jean Surdej, Alain Smette, Peter Shaver, Jan   Muecket, Marc Remy