| Abstract: | Using 9.9 fb$^{-1}$ of $e^+e^-$ collision data collected by the BESIII
detector at center-of-mass energies between 4.15 and 4.30 GeV, we search for
the processes $e^+e^- ogamma X(3872)$ with $X(3872)
ightarrowpi^0chi_{c0}$
and $X(3872)
ightarrowpipichi_{c0}$. Depending on the fitting model, the
statistical significance for $X(3872) opi^0chi_{c0}$ ranges from 1.3$sigma$
to 2.8$sigma$. We set upper limits (at 90\% C.L.) of
$frac{mathcal{B}(X(3872)
ightarrowpi^0chi_{c0})}{mathcal{B}(X(3872) opi^+pi^-J/psi)}<3.6$,
$frac{mathcal{B}(X(3872)
ightarrowpi^+pi^-chi_{c0})}{mathcal{B}(X(3872) opi^+pi^-J/psi)}<0.68$,
and
$frac{mathcal{B}(X(3872)
ightarrowpi^0pi^0chi_{c0})}{mathcal{B}(X(3872) opi^+pi^-J/psi)}<1.7$.
Combined with the BESIII measurement of $X(3872) opi^0chi_{c1}$, we also set
an upper limit of
$frac{mathcal{B}(X(3872)
ightarrowpi^0chi_{c0})}{mathcal{B}(X(3872) opi^0chi_{c1})}<4.4$. |
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