Abstract
We study the nonleptonic charmless ${B}_{u,d,s}\ensuremath{\rightarrow}{K}_{0}^{*}(1430)P$ ($P=K$, $\ensuremath{\pi}$) and ${K}_{0}^{*}(1430)V$ $(V={K}^{*},\ensuremath{\rho},\ensuremath{\omega},\ensuremath{\phi})$ decays. The amplitudes are calculated within the QCD factorization, and the nonperturbative quantities are evaluated by using a covariant light-front approach. The branching fractions and $CP$ asymmetries of theses decay modes are calculated, some decay modes are first predicted, and some useful relations based on $SU(3)$ flavor symmetry are discussed. Comparing the theoretical results with the current available experimental data, it is found that ${K}_{0}^{*}(1430)$ can be described as the lowest-lying p-wave $(s,u/d)$ state rather than the first excited one.
Highlights
The inner structure of the scalar (S) meson has been studied for a long time, and it is still a hot topic in particle physics
Most of the results based on such improved self-consistent covariant light-front (CLF) approach for the decay constant and form factors generally agree with the experimental data and the predictions obtained by using lattice QCD (LQCD) and light cone sum rules (LCSR), while the self-consistent CLF results for some distribution amplitudes (DAs) of light P-mesons are different from the QCD sum rule (QCD SR) results
The amplitudes are calculated by using the QCD factorization approach, and the nonperturbative quantities are evaluated by using a covariant light-front approach
Summary
The inner structure of the scalar (S) meson has been studied for a long time, and it is still a hot topic in particle physics. Motivated by the rapid development of experiment, some theoretical studies on these decays are made within some QCD inspired approaches, such as the generalized factorization approach [23], QCD factorization (QCDF) [24,25,26,27,28,29,30,31,32,33,34], perturbative QCD approach (PQCD) [35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53] and other methods [54,55,56,57,58,59,60,61,62,63,64,65]. The definitions of decay constant, form factor and distribution amplitude are given in the Appendix A, and the amplitudes of Bu;d;s → KÃ0ð1430ÞP; KÃ0ð1430ÞV decays are summarized in Appendix B
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