Remarks on the recently observed B decays into $f_X(1300)K$ and $J/\psi K_X^{\ast }(1430)$

Abstract

In light of the recent experimental results on decays $B^{+}\to f_X(1300)K^{+}$ and $B^{\pm (0)}\to J/\psi K_X^{\ast \pm (0)}(1430)$ from Belle, we study the $B\to P(V)S$ type decays, $B^{\pm (0)}\to f_0(1370)K^{\pm (0)}$ and $B^{\pm (0)}\to J/\psi K_0^{\ast \pm (0)}(1430)$, in comparison with the $B\to P(V)T$ type decays, $B^{\pm (0)}\to f_2(1270)K^{\pm (0)}$ and $B^{\pm (0)}\to J/\psi K_2^{\ast \pm (0)}(1430)$. We calculate the BRs for these decays by using the form factors obtained in the ISGW2 model [the improved version of the original Isgur-Scora-Grinstein-Wise (ISGW) model], as well as the ISGW model for comparison. The ratios of $\mathcal{B}(B\to P(V)S)/\mathcal{B}(B\to P(V)T)$ are also presented.

Comments: 11 pages, no figure, Revtex; Some comments added; to appear in Physics Letters B