Decay property of the X(3842) as the ψ3(1D33) state

作     者：Wei Li Su-Yan Pei Tianhong Wang Tai-Fu Feng Guo-Li Wang 

作者机构：Department of Physics Hebei University Baoding 071002 China Hebei Key Laboratory of High-Precision Computation and Application of Quantum Field Theory Baoding 071002 China Hebei Research Center of the Basic Discipline for Computational Physics Baoding 071002 China School of Physics Harbin Institute of Technology Harbin 150001 China 

出 版 物：《Physical Review D》 (物理学评论D辑：粒子、场、重力与宇宙学)

年 卷 期：2024年第109卷第3期

页      面：036011-036011页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：National Natural Science Foundation of China, NSFC, (11865001, 12075073, 12075074, 12375085) National Natural Science Foundation of China, NSFC Natural Science Foundation of Hebei Province, (A2021201009) Natural Science Foundation of Hebei Province Hebei University, (HBU2022BS002) Hebei University 

主　　题：Bethe-Salpeter equation Hadronic decays Leptonic, semileptonic & radiative decays Quark model Quarkonia 

摘      要：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 P30 model. Its electromagnetic (EM) decay is also calculated by the Bethe-Salpeter method within the Mandelstam formalism. The strong decay widths are Γ[X(3842)→D0D¯0]=1.27 MeV and Γ[X(3823)→D+D−]=1.08 MeV, and the ratio is B[X(3842)→D+D−]/B[X(3823)→D0D¯0]=0.84. The EM decay width is Γ[X(3842)→χc2γ]=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.