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The authors report the first observation of two Cabibbo-suppressed decay modes,?{sub c} →?+?−?+ and?{sub c}+ →?−?+?+. They observe 56 ± 13 over a background of 21, and 23 ± 7 over a background of 12 events, respectively, for the signals. The data were accumulated using the SELEX spectrometer during the 1996-1997 fixed target run at Fermilab, chiefly from a 600 GeV/c?− beam. The branching ratios of the decays relative to the Cabibbo-favored?{sub c}+ →?−?+?+ are measured to be B(?{sub c}+ →?+?−?+)/B(?{sub c}+ →?−?+?+) = 0.50 ± 0.20, and B(?{sub c}+ →?−?+?+)/B(?{sub c}+ →?−?+?+) = 0.23 ± 0.11, respectively. They also report branching ratios for the same decay modes of the?{sub c}+ relative to?{sub c}+ → pK−?+.
We present results of a search for D[sup 0]-[bar D][sup 0] mixing and a measurement of R[sub D], the ratio of doubly Cabibbo-suppressed decays to Cabibbo-favored decays, based on an analysis of D[sup 0][yields] K[sup+][pi][sup -] decays in 57.1 fb[sup -1] of data collected at or just below the[Upsilon](4S) resonance with the BABAR detector at the PEP-II collider. Our results are compatible with no mixing and no CP violation. At the 95% confidence level, allowing for CP violation, we find the mixing parameters x[prime][sup 2]
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This thesis illustrates a complete study of the doubly and singly Cabibbo suppressed decays D{sup +} and D{sub s}{sup +} {yields} K{sup +} {pi}{sup -}{pi}{sup +}. Data for this analysis have been collected by the fixed-target high-energy photoproduction experiment FOCUS at Fermilab. The authors have selected the D{sup +} and D{sub s}{sup +} samples with cuts to obtain a sufficiently high statistics, a good signal to noise ratio and, at the same time, eliminate possible contaminations from the more copious and favored decays. The D{sup +} yield consists of 189 {+-} 24 events, with a signal to noise ratio {approx} 1; the D{sub s}{sup +} yield is 567 {+-} 31 and the signal to noise ratio is {approx} 2.5. The authors have measured {Lambda}(D{sup +} {yields} K{sup +}{pi}{sup -}{pi}{sup +})/{Lambda}(D{sup +} {yields} K{sup -}{pi}{sup +}{pi}{sup +}) = 0.0065 {+-} 0.0008 {+-} 0.004 and {Lambda}(D{sub s}{sup +} {yields} K{sup +}{pi}{sup -}{pi}{sup +})/{Lambda}(D{sub s}{sup +} {yields} K{sup +}K{sup -}{pi}{sup +}) = 0.127 {+-} 0.007 {+-} 0.014, improving the previous determinations of a factor of 2 and 5, respectively. The author has also performed a Dalitz plot analysis for both decays. The amplitude analysis for D{sub s}{sup +} {yields} K{sup +}{pi}{sup -}{pi}{sup +} represents the first available measurement for this channel.
Analyzing D{sup 0} {yields} K{sup +}{pi}{sup -}{pi}{sup 0} decays, herein are presented the methods and results of a search for D{sup 0}-{bar D}{sup 0} mixing, a measurement of the branching ratio R {equivalent_to} {Lambda}(D{sup 0} {yields} K{sup +}{pi}{sup -}{pi}{sup 0})/{Lambda}(D{sup 0} {yields} K{sup -}{pi}{sup +}{pi}{sup 0}), and measurements of the contributions from D{sup 0} {yields} K{sup +}{rho}{sup -}, K*{sup +}{pi}{sup -}, K*{sup 0}{pi}{sup 0}; 230.4 fb{sup -1} of data collected from the BABAR detector at the PEP-II collider during 2000-2004 (Runs 1-4) are analyzed. An event-level tagging technique is developed, which facilitates the accurate determination of doubly Cabibbo-suppressed resonance contributions by suppressing background from Cabibbo-favored decays. The branching ratio is measured as R = (0.214 {+-} 0.008 (stat) {+-} 0.008 (syst))%, with (46.1 {+-} 3.3 (stat) {+-} 2.9 (syst))% of D{sup 0} {yields} K{sup +}{pi}{sup -}{pi}{sup 0} decays proceeding through the channel D{sup 0} {yields} K*{sup +}{pi}{sup -}. The data are consistent with the null-D-mixing hypothesis at a confidence level of 10%, and the expected value of {+-} {radical}(x{sup 2} + y{sup 2}) is measured as -0.013 {+-} 0.010 (stat), indicating negative interference between mixing and doubly Cabibbo-suppressed decay. The expected value of the integrated mixing rate is (x{sup 2} + y{sup 2})/2 = (0.013 {+-} 0.013 (stat))%.
Using 4.8 fb[sup -1] of data taken with the CLEO II detector, the branching fraction for the Cabibbo suppressed decay D[sup+][yields][pi][sup 0][ell][sup+][nu] measured relative to the Cabibbo favored decay D[sup+][yields][bar K][sup 0][ell][sup+][nu] is found to be 0.046[+-] 0.014[+-] 0.017. Using V[sub cs] and V[sub cd] from unitarity constraints, we determinef[sub+][sup[pi]](0)/f[sub+][sup K] (0)[sup 2]= 0.9[+-] 0.3[+-] 0.3 We also present a 90% confidence level upper limit for the branching ratio of the decay D[sup+][yields][eta]e[sup+][nu][sub e] relative to that for D[sup+][yields][pi][sup 0]e[sup+][nu][sub e] of 1.5.