Time-Dependent Analysis of the Decay B0 --> rho0 rho0
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We study the decay B0 --> rho0 rho0 in a sample of about 427 million Upsilon(4S) --> BBbar decays collected with the BABAR detector at the PEP-II asymmetric-energy e+e- collider at SLAC. We find the branching fraction
B = (0.84 +/- 0.29 +/- 0.17)*1e-6 and longitudinal polarization fraction of f_L = 0.70 +/- 0.14 +/- 0.05, where the first uncertainty is statistical, and the second is systematic. The evidence for the B0 --> rho0 rho0 signal has 3.6 sigma significance. We investigate the proper-time dependence of the longitudinal component in the decay and measure the CP-violating coefficients S^{00}_L = 0.5 +/- 0.9 +/- 0.2 and C^{00}_L = 0.4 +/- 0.9 +/- 0.2, corresponding to the sine and cosine terms in the time evolution of asymmetry. We study the implication of these results for penguin contributions in B --> rho rho decays and for the CKM unitarity angle alpha.
20 pages, 18 postscript figures, submitted to LP2007. Second version corrects submission date
20 pages, 18 postscript figures, submitted to LP2007. Second version corrects submission date