Understanding the 0++ and 2++ charmonium(-like) states near 3.9 GeV

Teng Ji; Xiang-Kun Dong; Miguel Albaladejo; Meng-Lin Du; Feng-Kun Guo; Juan Nieves; Bing-Song Zou

doi:10.1016/j.scib.2023.02.034

Understanding the 0⁺⁺ and 2⁺⁺ charmonium(-like) states near 3.9 GeV

Sci Bull (Beijing). 2023 Apr 15;68(7):688-697. doi: 10.1016/j.scib.2023.02.034. Epub 2023 Feb 27.

Authors

Teng Ji¹, Xiang-Kun Dong², Miguel Albaladejo³, Meng-Lin Du⁴, Feng-Kun Guo⁵, Juan Nieves⁶, Bing-Song Zou⁷

Affiliations

¹ CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China; School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China. Electronic address: jiteng@itp.ac.cn.
² CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China; School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China. Electronic address: dongxiangkun@itp.ac.cn.
³ Instituto de Física Corpuscular (centro mixto CSIC-UV), Institutos de Investigación de Paterna, Valencia 46071, Spain. Electronic address: Miguel.Albaladejo@ific.uv.es.
⁴ Instituto de Física Corpuscular (centro mixto CSIC-UV), Institutos de Investigación de Paterna, Valencia 46071, Spain; School of Physics, University of Electronic Science and Technology of China, Chengdu 611731, China. Electronic address: du.ml@uestc.edu.cn.
⁵ CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China; School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China; Peng Huanwu Collaborative Center for Research and Education, Beihang University, Beijing 100191, China. Electronic address: fkguo@itp.ac.cn.
⁶ Instituto de Física Corpuscular (centro mixto CSIC-UV), Institutos de Investigación de Paterna, Valencia 46071, Spain. Electronic address: jmnieves@ific.uv.es.
⁷ CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China; School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China; Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China.

PMID: 36914547
DOI: 10.1016/j.scib.2023.02.034

Abstract

We propose that the X(3915) observed in the J/ψω channel is the same state as the χ_c2(3930), and the X(3960), observed in the D_s⁺D_s^- channel, is an S-wave D_s⁺D_s^- hadronic molecule. In addition, the J^PC=0⁺⁺ component in the B⁺→D⁺D^-K⁺ assigned to the X(3915) in the current Review of Particle Physics has the same origin as the X(3960), which has a mass around 3.94 GeV. To check the proposal, the available data in the DD¯ and D_s⁺D_s^- channels from both B decays and γγ fusion reaction are analyzed considering both the DD¯-D_sD¯_s-D^*D¯^*-D_s^*D¯_s^* coupled channels with 0⁺⁺ and a 2⁺⁺ state introduced additionally. It is found that all the data in different processes can be simultaneously well reproduced, and the coupled-channel dynamics produce four hidden-charm scalar molecular states with masses around 3.73, 3.94, 3.99 and 4.23 GeV, respectively. The results may deepen our understanding of the spectrum of charmonia as well as of the interactions between charmed hadrons.

Keywords: Charmonium(-like) states; Exotic hadrons; Hadron-hadron interactions; Hadronic molecules; Heavy quark spin symmetry.