2024/08/06 by Du, Xin-Yao, Pe, Su-Yan, Li, Wei +5
#FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph)
paper · doi:10.48550/arxiv.2408.03011
The spin-singlet state ηc2(1D2) has not been discovered in experiment and it is the only missing low-excited D-wave charmonium, so in this paper, we like to study its properties. Using the Bethe-Salpeter equation method, we obtain its mass as 3828.2 MeV and its electromagnetic decay widths as Γ[ηc2(1D)→ hc(1P)γ]=284 keV, Γ[ηc2(1D)→ J/ψγ]=1.04 keV, Γ[ηc2(1D)→ψ(2S)γ]=3.08 eV, and Γ[ηc2(1D)→ψ(3770)γ]=0.143 keV. Considering the strong decay widths are estimated to be Γ(ηc2(1D)→ηc ππ)=144~\rmkeV and Γ(ηc2(1D)→ gg)= 46.1~\rmkeV, we obtain the total decay width of 475 keV for ηc2(1D), and point out that the full width is very sensitive to the mass M_ηc2. In our calculation, the emphasis is put on the relativistic corrections. Our results show that ηc2→ hcγ is the nonrelativistic E1 transition dominated E1+M2+E3 decay, and ηc2→ ψγ is the M1+E2+M3+E4 decay but the relativistic E2 transition contributes the most.