Triangle mechanism in the decay process B_(0)→J/ψK^(0)f_(0)(980)(a_(0)(980))

The role of the triangle mechanism in the decay processes B_(0)→J/ψK^(0)f_(0)→J/ψK^(0)π^(+)π^(-)and B_(0)→J/ψK^(0)a_(0)→J/ψK^(0)π^(0)ηis probed.In these processes,the triangle singularity appears from the decay of B_(0)intoJ/ψ∅K^(0),and then,∅decays intoK^(0)K^(0)andK^(0)K^(0)merged into f_(0)or a_(0),which finally decay intoπ^(+)π^(-)andπ^(0)η,respectively.We find that this mechanism leads to a triangle singularity around M_(inv)(K^(0)f_(0)(a_(0)))≈1520 MeV and gives sizable branching fractions Br(B_(0)→J/ψK^(0)f_(0)→J/ψK^(0)π^(+)π^(-))=7.67×10^(-7)and Br(B_(0)→J/ψK^(0)a_(0)→J/ψK^(0)π^(0)η)=1.42×10^(-7).This investigation can help us obtain the information of the scalar mesonf_(0)(980)or a_(0)(980).