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

Abstract

In light of the recent experimental results on decays $B^+ \to f_X(1300) K^+$ and $B^{\pm(0)} \to J/\psi K_X^{*\pm(0)}(1430)$ from Belle, we study the $B \to P(V) S$ type decays, $B^{\pm(0)} \to f_0(1370) K^{\pm(0)}$ and $B^{\pm(0)} \to J/\psi K_0^{*\pm(0)}(1430)$, in comparison with the $B \to P(V) T$ type decays, $B^{\pm(0)} \to f_2(1270) K^{\pm(0)}$ and $B^{\pm(0)} \to J/\psi K_2^{*\pm(0)}(1430)$. 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 ${\cal B}(B \to P(V)S) / {\cal B}(B \to P(V)T)$ are also presented.