Semileptonic And Nonleptonic Decays Of B_c To D Wave Charmonia

B_cmeson is the lowest bound state of two heavy quarks,charm and bottom, withopen flavor. Therefore it only decays weakly. So it’s an ideal system to study the weakinteraction for its outstanding features. The coupling between heavy quarks is quite weakand the bounding energy is low. We could deal with the B_cmeson by Salpeter approach.The Salpeter formulation is a3dimension integral formulation to cope with two particlebound state.We study the semileptonic and nonleptonic decays of B_cmeson to¹D₂,³D₂and³D₃charmonia by Salpeter method.First We describe the B_cweak interaction and then achieve the Feynman amplitude.The nonleptonic amplitude is achieved by decay constant. Also we use form factor toexpress the hadronic tensor. In the3rd chapter we introduce the meson Feynman rules atfirst and get the hadronic element. We construct the Salpeter wave function of diferentquantum states consisting of the spin and parity features. Simplification then we obtainthe specific form factor of hadronic tensor.Solving the problem by numerical method we achieve the width and branching ratioof B_cto¹D₂,³D₂and³D₃states D wave tensor mesons. Our result reveals that the branch-ing ratio of B_cto¹D₂can reach the order of103. So we expect that¹D₂charmonium statemeson could be found at experiments. We compare our results with others’.