Based on available experimental results on $ \chi _{cJ}(J=0,1,2) $ decays, we investigated the $ \chi_{cJ}\to PP $ , $ VV $ , $ PV $ , and $ PT $ decays using the $\textit{SU}$(3) flavor symmetry/breaking approach, where $\textit{P}$, $\textit{V}$, and $\textit{T}$ denote light pseudoscalar, vector, and tensor mesons, respectively. With the decay amplitude relations determined by $\textit{SU}$(3) flavor symmetry/breaking, we present the branching ratios for all $ \chi_{cJ}\to PP $ and $ \chi_{cJ}\to VV $ modes, including those without experimental data. While theoretical considerations strongly suppress or even forbid most $ \chi_{cJ}\to PV $ and $ PT $ decays, we also provide quantitative predictions constrained by existing experimental data. Our results are expected to be accessible in future experiments at BESIII and the planned Super Tau-Charm Facility.

China

Bo Lan

Qin-Ze Song

Jin-Huan Sheng

Yi Qiao

Ru-Min Wang

Study of χ$_{cJ}$ ($\textit{J}$ = 0,1,2) decays to light meson pairs based on $\textit{SU}$(3) flavor symmetry/breaking analysis * Supported by the National Natural Science Foundation of China (12175088, 12305100, 12365014) and Graduate Innovation Fund Project of Jiangxi Provincial Department of Education (YJS2024091)

With the available experimental results on <math><msub><mi>χ</mi><mrow><mi>c</mi><mi>J</mi></mrow></msub><mo>(</mo><mi>J</mi><mo>=</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>)</mo></math> decays, we explore the decays of <math><msub><mi>χ</mi><mrow><mi>c</mi><mi>J</mi></mrow></msub><mo>→</mo><msub><mi>B</mi><mn>8</mn></msub><msub><mover><mi>B</mi><mo>¯</mo></mover><mn>8</mn></msub></math> and <math><msub><mi>χ</mi><mrow><mi>c</mi><mi>J</mi></mrow></msub><mo>→</mo><msub><mi>B</mi><mn>10</mn></msub><msub><mover><mi>B</mi><mo>¯</mo></mover><mn>10</mn></msub></math> based on the SU(3) flavor symmetry. In addition, we give an extensive discussion on the possible contributions from the SU(3) breaking effect and <math><msup><mi>Σ</mi><mn>0</mn></msup><mo>−</mo><mi>Λ</mi></math> mixing. With the decay amplitude determined from an effective Hamiltonian, we also present the expected branching fractions for those unobserved decay modes, e.g., <math><msub><mi>χ</mi><mrow><mi>c</mi><mi>J</mi></mrow></msub><mo>→</mo><mi>n</mi><mover><mi>n</mi><mo>¯</mo></mover></math> and <math><msub><mi>χ</mi><mrow><mi>c</mi><mi>J</mi></mrow></msub><mo>→</mo><mi>Λ</mi><msup><mover><mi>Σ</mi><mo>¯</mo></mover><mn>0</mn></msup><mo>+</mo><mover><mi>Λ</mi><mo>¯</mo></mover><msup><mi>Σ</mi><mn>0</mn></msup></math>, which are expected to be observed at the BESIII experiment and the future planned Super Tau-Charm facilities. Our results provide valuable insights that will aid in advancing our understanding of the mechanisms and characteristics of <math><msub><mi>χ</mi><mrow><mi>c</mi><mi>J</mi></mrow></msub></math> decays.

Xiu-Ping Fan

Probing <math><msub><mi>χ</mi><mrow><mi>c</mi><mi>J</mi></mrow></msub><mo>(</mo><mi>J</mi><mo>=</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>)</mo></math> decay into baryon and antibaryon with SU(3) flavor analysis