We determine the resonant parameters of the vector statesϕ(1680)andϕ(2170)by performing a combined fit to the e+e−→ηϕcross sections from the threshold to 2.85GeV measured by the BaBar,Belle,BESIII,and CMD-3 experime...We determine the resonant parameters of the vector statesϕ(1680)andϕ(2170)by performing a combined fit to the e+e−→ηϕcross sections from the threshold to 2.85GeV measured by the BaBar,Belle,BESIII,and CMD-3 experiments.The mass(1678_(−3)^(+5)±7)MeV/c^(2) and width(156±5±9)MeV are obtained forϕ(1680),and the mass(2169±5±6)MeV/c^(2) and width(96_(−14)^(+17)±9)MeV are obtained forϕ(2170).The statistical significance ofϕ(2170)is 7.2σ.Depending on the interference betweenϕ(1680),ϕ(2170),and a non-resonantηϕamplitude in the nominal fit,we obtain four solutions andΓe+e−ϕ(1680)⋅B[ϕ(1680)→ηϕ]=(79±4±16),(127±5±12),(65_(−4)^(+5)±13)or(215_(−5)^(+8)±11)eV,andΓ_(ϕ(2170))^(e+e−)⋅B[ϕ(2170)→ηϕ]=(0.56_(−0.02)^(+0.03)±0.07),(0.36_(−0.03)^(+0.05)±0.07),(38±1±5)or(41±2±6)eV.We also search for the production of X(1750)→ηϕ,and the significance is only 2.0σ.We then determine the upper limit ofΓ_(X(1750))^(e+e−)⋅B[X(1750)→ηϕ]at the 90%confidence level.展开更多
基金Supported by the National Key R&D Program of China(2022YFA1601903)the National Natural Science Foundation of China(12175041)。
文摘We determine the resonant parameters of the vector statesϕ(1680)andϕ(2170)by performing a combined fit to the e+e−→ηϕcross sections from the threshold to 2.85GeV measured by the BaBar,Belle,BESIII,and CMD-3 experiments.The mass(1678_(−3)^(+5)±7)MeV/c^(2) and width(156±5±9)MeV are obtained forϕ(1680),and the mass(2169±5±6)MeV/c^(2) and width(96_(−14)^(+17)±9)MeV are obtained forϕ(2170).The statistical significance ofϕ(2170)is 7.2σ.Depending on the interference betweenϕ(1680),ϕ(2170),and a non-resonantηϕamplitude in the nominal fit,we obtain four solutions andΓe+e−ϕ(1680)⋅B[ϕ(1680)→ηϕ]=(79±4±16),(127±5±12),(65_(−4)^(+5)±13)or(215_(−5)^(+8)±11)eV,andΓ_(ϕ(2170))^(e+e−)⋅B[ϕ(2170)→ηϕ]=(0.56_(−0.02)^(+0.03)±0.07),(0.36_(−0.03)^(+0.05)±0.07),(38±1±5)or(41±2±6)eV.We also search for the production of X(1750)→ηϕ,and the significance is only 2.0σ.We then determine the upper limit ofΓ_(X(1750))^(e+e−)⋅B[X(1750)→ηϕ]at the 90%confidence level.