Charmoniums And P-wave Particle Production In Exclusive Process

Up to now, knowledge about charmoniums,P-wave light scalar mesons and P-wave axial vector mesons is not clear, as is shown in the recognition of the charmoniumdynamics and in the controversy about the structure and dynamics of the P-wave scalarmesons and P-wave axial vector mesons. Thus we study them within the light conesum rules in order to crease our recognition.First, in order to solve the problem confronted by the nonrelativistic QCD in inthe exclsive process e~+ + e~-→J/ψ+η_c measured by Belle and BaBar, we analyzethis process within the frame of light cone sum rules. Unlike the nonrelativistic de-scription for the charmonium adopted by nonrelativistic QCD, we regardη_c-meson inthe exclusive process with a large transfer momentum as a relativistic one. Among allthe distribution amplitude models for theη_c-meson, we select BHL model and take intoaccount QCD evolution with the corresponding scale. Consistency of our results withthe experiments illustrated that the dynamics and distribution amplitude ofη_c-meson ismainly relativistic in the large transfer momentum region. Accordingly, we expect thatthe similar relativistic distribution amplitudes can be applied to other charmoniums anda reliable results might be obtained in other exclusive processes.Second, we study B semileptonic decays to P-wave scalar mesons within the lightcone sum rules with the chiral current correlator adopted. Among the recgnition ofthe struture of the scalar mesons, we take the two quark picture and the correspondingdistribution amplitudes as inputs. In addition, the chiral current correlators adoptedsimplifies the analysis greatly and thus leads to simple representations for form fac-tors, depending on the leading twist distribution amplitude only. Furthermore, thereexists a simple relation between these form factors, which is consistent with that of thesoft collinear effective theory (SCET). Finally, we obtain the differential decay rates inthe effective momentum squared region, which can be tested by experiments in the Bfactory. It is helpful to judge the inner structure of the P-wave scalar mesons.Finally, we study B semileptonic decays to axial-vector mesons within the lightcone sum rules with the chiral current correlator, polarized transversely, adopted. Herewe have a similar motivation to the case of B semileptonic decays to P-wave scalarmesons. However, because the polarization of axial vector mesons introduce a com-plicated situation and the higher twist distribution amplitudes can not be avoided any more. Our study finds that if we take into account only the transverse components,the simple representations for form factors without the pollution from the higher twistdistribution amplitudes and the simple relations between them can be obtained. Withthe further advance of our analysis, we expect that the differential decay rates will betested by experiments in the B factory.