  We investigate the possible rescattering effects which may contribute to the
process $B^+\to J/\psi\phi K^+$. It is shown that the $D_{s}^{*+}D_{s}^-$
rescattering via the open-charmed meson loops, and $\psi^\prime \phi$
rescattering via the $\psi^\prime K_1$ loops may simulate the structures of
$X(4140)$ and $X(4700)$, respectively. However, if the quantum numbers of
$X(4274)$ ($X(4500)$) are $1^{++}$ ($0^{++}$), it is hard to to ascribe the
observation of $X(4274)$ and $X(4500)$ to the $P$-wave threshold rescattering
effects, which implies that $X(4274)$ and $X(4500)$ could be genuine
resonances. We also suggest that $X(4274)$ may be the conventional orbitally
excited state $\chi_{c1}(3P)$.
