Study of the decay 𝐽/𝜓→𝜙⁢𝜋⁰⁢𝜂

Based on (10.09±0.04)×109 J/ψ events collected with the BESIII detector operating at the BEPCII collider, a partial wave analysis of the decay J/ψ→φπ0η is performed. We observe for the first time two new structures on the φη invariant mass distribution, with significances exceeding 27σ and 13σ; the first with JPC=1+-, mass M=(1908±6(stat) -4+8(sys)) MeV/c2, and width Γ=(175±13(stat) -16+7(sys)) MeV, the second with JPC=1 - , mass M=(1992±12(stat) -6+15(sys)) MeV/c2, and width Γ=(132±22(stat) -4+17(sys)) MeV. These measurements provide important input for the strangeonium spectrum. In addition, the f0(980)-a0(980)0 mixing signal in J/ψ→φf0(980)→φa0(980)0 and the corresponding electromagnetic decay J/ψ→φa0(980)0 are measured with improved precision, providing crucial information to understand the nature of a0(980)0 and f0(980).