We study two-body B（c）→Mc（π,K） and semileptonic Bc→Mcl^-v^-1 decays with Mc=（J/φ,Xc^0）,where Xc^0=X^0（3872） is regarded as the tetraquark state ccuu（dd）.With the decay constant fxc^0=（234±52） MeV ...We study two-body B（c）→Mc（π,K） and semileptonic Bc→Mcl^-v^-1 decays with Mc=（J/φ,Xc^0）,where Xc^0=X^0（3872） is regarded as the tetraquark state ccuu（dd）.With the decay constant fxc^0=（234±52） MeV determined from the data,we predict that B（B^-→Xc^0π^-） =（11.5±5.7）×10^-6,B（B^0→Xc^0K^-0）=（2.1±1.0）×10^-4,and B（Bs^0→Xc^0K^0）=（11.4±5.6）×10^-6.With the form factors in QCD models,we calculate that B（Bc^-→Xc^0π^-,Xc^0K^-）=（6.0±2.6）×10^-5 and（4.7±2.0）×10^-6,and B（Bc^-→J/φμ^-vμ^-vμ,Xc^0μ^-v^-μ）=（2.3±0.6）×10^-2 and（1.35±0.18）×10^-3,respectively,and extract the ratio of the fragmentation fractions to be fc/fu=（6.4±1.9）×10^-3.展开更多
We study the semileptonic decaysBc-→(ηc,J/ψ)l-■lusing the PQCD factorization approach with the newly defined distribution amplitudes of the B c meson and a new kind of parametrization for extrapolating the form fa...We study the semileptonic decaysBc-→(ηc,J/ψ)l-■lusing the PQCD factorization approach with the newly defined distribution amplitudes of the B c meson and a new kind of parametrization for extrapolating the form factors which takes into account the recent lattice QCD results.We find the following main results:(a)the PQCD predictions of the branching ratios of theBc→(ηc,J/ψ)l■decays are smaller by about 5%-16%when the lattice results are taken into account in the extrapolation of the relevant form factors;(b)the PQCD predictions of the ratio Rηc,RJ/ψand of the longitudinal polarization PτareRηc=0.34±0.01,RJ/ψ=0.28±0.01,Pτ(ηc)=0.37±0.01and Pτ(J/ψ)=-0.55±0.01;and(c)after including the lattice results,the theoretical predictions slightly change:Rηc=0.31±0.01,RJ/ψ=0.27±0.01,Pτ(ηc)=0.36±0.01andPτ(J/ψ)=-0.53±0.01.The theoretical predictions of RJ/ψagree with the measurements within the errors.The other predictions could be tested by the LHCb experiment in the near future.展开更多
基金Supported in part by National Center for Theoretical Sciences,National Science Council(NSC-101-2112-M-007-006-MY3)MoST(Mo ST-104-2112-M-007-003-MY3)National Science Foundation of China(11675030)
文摘We study two-body B（c）→Mc（π,K） and semileptonic Bc→Mcl^-v^-1 decays with Mc=（J/φ,Xc^0）,where Xc^0=X^0（3872） is regarded as the tetraquark state ccuu（dd）.With the decay constant fxc^0=（234±52） MeV determined from the data,we predict that B（B^-→Xc^0π^-） =（11.5±5.7）×10^-6,B（B^0→Xc^0K^-0）=（2.1±1.0）×10^-4,and B（Bs^0→Xc^0K^0）=（11.4±5.6）×10^-6.With the form factors in QCD models,we calculate that B（Bc^-→Xc^0π^-,Xc^0K^-）=（6.0±2.6）×10^-5 and（4.7±2.0）×10^-6,and B（Bc^-→J/φμ^-vμ^-vμ,Xc^0μ^-v^-μ）=（2.3±0.6）×10^-2 and（1.35±0.18）×10^-3,respectively,and extract the ratio of the fragmentation fractions to be fc/fu=（6.4±1.9）×10^-3.
基金Supported by the National Natural Science Foundation of China(11775117,11235005)
文摘We study the semileptonic decaysBc-→(ηc,J/ψ)l-■lusing the PQCD factorization approach with the newly defined distribution amplitudes of the B c meson and a new kind of parametrization for extrapolating the form factors which takes into account the recent lattice QCD results.We find the following main results:(a)the PQCD predictions of the branching ratios of theBc→(ηc,J/ψ)l■decays are smaller by about 5%-16%when the lattice results are taken into account in the extrapolation of the relevant form factors;(b)the PQCD predictions of the ratio Rηc,RJ/ψand of the longitudinal polarization PτareRηc=0.34±0.01,RJ/ψ=0.28±0.01,Pτ(ηc)=0.37±0.01and Pτ(J/ψ)=-0.55±0.01;and(c)after including the lattice results,the theoretical predictions slightly change:Rηc=0.31±0.01,RJ/ψ=0.27±0.01,Pτ(ηc)=0.36±0.01andPτ(J/ψ)=-0.53±0.01.The theoretical predictions of RJ/ψagree with the measurements within the errors.The other predictions could be tested by the LHCb experiment in the near future.
