270 likes | 468 Views
Study of Bs →(DsJ(2317) DsJ(2460) Ds1(2536) Ds2(2573 ))lνsemileptonic decays in the CQM Model. 报告人:赵树民 单位:河北大学 物理学院. 1. Introduction 2. Formulation 3. Numerical results Discussion and conclusion 5. Appendix. ,. The light degrees of freedom carry a small momentum.
E N D
Study of Bs →(DsJ(2317) DsJ(2460) Ds1(2536)Ds2(2573))lνsemileptonic decays in the CQM Model 报告人:赵树民 单位:河北大学 物理学院
1. Introduction 2. Formulation 3. Numerical results • Discussion and conclusion 5. Appendix
, The light degrees of freedom carry a small momentum is the “residual” momentum In the mQ → ∞ limit, the propagator , with is large component to , is small component 1.Introduction 1.1Heavy quark effective theory , the heavy quark momentum The obtained two Feynman rules
, , 1.2 The CQM model The model is relativistic and based on an effective Lagrangian which combines the HQET and the chiral symmetry for light quarks. M is the octet pseudoscalar matrix
0 1/2 1/2 1 1 3/2
, , , are the annihilation operators respectively H,S and T denote the super-fields corresponding to doublets
The transition amplitudes 2.2 2.1 The studied decays • a. Bs →Ds(1968,2112) +lν • Bs →DsJ(2317,2460) +lν • Bs →DsJ(2536,2573)+lν 2. Formulation
where =0 =1/2 , , 2.3 The hadronic matrix elements
H S T 2.4 the couplings of H,S,T with light and heavy quarks
, , , 2.5 the renormalization constant
2.6 The hadronic transition matrix 2.7 The obtained Isgur–Wise function H->Hlv
H->Slv H->Tlv where
a. b. 2.9 The decay widths of Bs →DsJ(2317,2460) +lν, ( H->Slv)
4. Discussion and conclusion 4.1 By comparison between the theoretical results and experimental results listed, we have reason to believe that the CQM model can well be applied to the study of the semileptonic decays related to this work. 4.2
4.3 The branching ratios of Bs →DsJ(2317,2460)lν from our calculations and that obtained by QCD sum rules areof the same orderofmagnitude. However, our predictions are far smaller than those given by Huang. Anyway, at present both our calculations and the analyses from other groups all indicate that the semileptonic decays Bs →DsJ(2317,2460)lν have large branching ratios. DsJ(2317,2460) should be belong to 4.4 Both our numerical results and the analyses from the QCD sum rules imply that the semileptonic decays B → T+lν have large branching ratios. can not be confirmed exactly The valus of and , but vary in a range. 4.6 4.5 In CQM, the vertex of QHq is simple, and loop integral are easy to calculte.
谢谢! 请各位老师指点!