Decays of the type B[yields] D[sup (*)][bar D](*) can be used to provide a measurement of the parameter sin2[beta] of the Unitarity Triangle that is complementary to the measurement derived from the mode B[sup 0][yields]/K[sub S][sup 0]. In this document we report a measurement of the branching fraction for the decay B[sup 0][yields] D*[sup+]D*[sup -] with the BABAR detector. With data corresponding to an integrated luminosity of 20.7 fb[sup -1] collected at the[Upsilon](4S) resonance during 1999-2000, we have reconstructed 38 candidate signal events in the mode B[sup 0][yields] D*[sup+]D*[sup -] with an estimated background of 6.2[+-] 0.5 events. From these events, we determine the branching fraction to be[Beta](B[sup 0][yields] D*[sup+]D*[sup -])= (8.0[+-] 1.6(stat)[+-] 1.2(syst)) x 10[sup -4] (preliminary). The measured fraction of the component with odd CP parity is 0.27[+-] 0.17(stat)[+-] 0.02(syst).

Using 65 million {Upsilon}(4S) {yields} B{bar B} events collected with the BABAR detector at the PEP-II e{sup +}e{sup -} storage ring at the Stanford Linear Accelerator Center, they measure the color-favored branching fractions {Beta}({bar B}{sup 0} {yields} D{sup +}{pi}{sup -}) = (2.63 {+-} 0.05 {+-} 0.22) x 10{sup -3}, {Beta}({bar B}{sup 0} {yields} D*{sup +}{pi}{sup -}) = (2.79 {+-} 0.08 {+-} 0.18) x 10{sup -3}, {Beta}(B{sup -} {yields} D{sup 0}{pi}{sup -}) = (4.90 {+-} 0.07 {+-} 0.23) x 10{sup -3} and {Beta}(B{sup -} {yields} D*{sup 0} {pi}{sup -}) = (5.52 {+-} 0.17 {+-} 0.43) x 10{sup -3}, where the first error is statistical and the second is systematic. With these results and the current world average for the branching fraction for the color-suppressed decay {bar B}{sup 0} {yields} D{sup (*)0}{pi}{sup 0}, the cosines of the strong phase difference {delta} between the I = 1/2 and I = 3/2 isospin amplitudes are determined to be cos{sigma} = 0.860{sub -0.006-0.028}{sup +0.007+0.029} for the {bar B} {yields} D{pi} process and cos{sigma} = 0.917{sub -0.016-0.051}{sup +0.018+0.059} for the {bar B} {yields} D*{pi} process. The results for cos{delta} suggest that final-state interactions are presented in the D{pi} system.