Study of Open-Charm Decays and Radiative Transitions of the X(3872)

The processes X(3872)→D*0D¯0+c.c.,γJ/ψ,γψ(2S), and γD+D- A re searched for in a 9.0 fb-1 data sample collected at center-of-mass energies between 4.178 and 4.278 GeV with the BESIII detector. We observe X(3872)→D∗0D0¯+c.c. and find evidence for X(3872)→γJ/ψ with statistical significances of 7.4σ and 3.5σ, respectively. No evident signals for X(3872)→γψ(2S) and γD+D- A re found, and the upper limit on the relative branching ratio Rγψ{B[X(3872)→γψ(2S)]}/{B[X(3872)→γJ/ψ]}<0.59 is set at 90% confidence level. Measurements of branching ratios relative to decay X(3872)→π+π-J/ψ are also reported for decays X(3872)→D∗0D0¯+c.c.,γψ(2S),γJ/ψ, and γD+D-, as well as the non-D∗0D0¯ three-body decays π0D0D0¯ and γD0D0¯.