2023/08/04 by Li, Wei, Pei, Su-Yan, Wang, Tianhong +2
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)
paper · doi:10.48550/arxiv.2308.02280
In this paper, the new particle X(3842) discovered by the LHCb Collaboration is identified to be the ψ3(13D3) state. We study its strong decays with the combination of the Bethe-Salpeter method and the 3P0 model. Its electromagnetic (EM) decay is also calculated by the Bethe-Salpeter method within Mandelstam formalism. The strong decay widths are Γ[X(3842)→ D0D0]=1.28 MeV, Γ[X(3823)→ D+D-]=1.08 MeV, and the ratio \cal B[X(3842)→ D+D-]/\cal B[X(3823)→ D0D0]=0.84. The EM decay width is Γ[X(3842)→χ_c2γ]=0.29 MeV. We also estimate the total width to be 2.87 MeV, which is in good agreement with the experimental data 2.79+0.86-0.86 MeV. Since the used relativistic wave functions include different partial waves, we also study the contributions of different partial waves in electromagnetic decay.