Resonant Substructure in Antikaon, Pion Pion Pion Decays of D Mesons
Abstract
We determine the resonant substructure of D to Kpipipi decays using a fivedimensional maximum likelihood technique to extract the relative fractions and phases of the amplitudes contributing to the K^pi^+ pi^+pi^,  K^0pi^+pi^+pi^ , K^pi^+pi^+ pi^0 and  K^0 pi^+pi^pi^0 final states. We find that twobody decay modes around for about 75% of these decays. We obtain branching ratios for D to  K a_1, D to  K^* rho , D to  K_1(1270) pi, D to  K_1(1400) pi and D^0 to  K^0 omega decay modes, as well as several three and fourbody decay modes. In the case of D to  K a_1 and D to  K^* rho , we obtain the branching ratios for all three possible isospin combinations, enabling us to extract the isospin 1/2 and 3/2 amplitudes. This allows us to eliminate the ambiguity due to phase shifts between the isospin amplitudes when comparing our results with theoretical models. We find that the isospin 3/2 amplitudes are suppressed relative to the isospin 1/2 amplitudes, confirming that an understanding of the lifetime difference of the D^0 and D^+ depends on an understanding of twobody hadronic decays. For the D to  K^ * rho decay modes, we obtain detailed information on the polarization of the  K^* and rho. This enables us to obtain information on formfactors for D to  K^* and D to rho transitions, within the context of the factorization hypothesis. Comparison of our results on D to  K^* rho decays with recent results on semileptonic decays allows us to test the factorization hypothesis.
 Publication:

Ph.D. Thesis
 Pub Date:
 January 1990
 Bibcode:
 1990PhDT........80D
 Keywords:

 ANTIKAON;
 PION;
 D MESONS;
 Physics: Elementary Particles and High Energy