  In this work, we chose three molecular and three diquark-antidiquark currents
with the quark content $c\bar{c}s\bar{s}$ and $J^{PC}=0^{++},1^{++},2^{++}$,
and estimated the masses and the meson coupling constants of the ground states
coupling to these currents in the framework of QCD sum rules. In operator
product expansion, we considered the terms including dimension eight, and we
performed pole contribution tests carefully. According to our results, all of
these currents couple to the ground states with degenerate masses which are in
10 MeV vicinity of X(4140). Therefore, with a QCD sum rules analysis, it is not
possible to conclude that X(4140) has a dominant molecular or
diquark-antidiquark content. However, there may be three states degenerate in
mass, with positive charge conjugation and different isospins.
