https://doi.org/10.1140/epjc/s10052-023-11445-7
Regular Article - Theoretical Physics
The S- and P-wave fully charmed tetraquark states and their radial excitations
1
Department of Mathematics and Physics, North China Electric Power University, 071003, Baoding, People’s Republic of China
2
School of Physics and Electronic Science, Guizhou Education University, 550018, Guiyang, People’s Republic of China
Received:
15
January
2023
Accepted:
28
March
2023
Published online:
18
May
2023
Inspired by recent progresses in observations of the fully charmed tetraquark states by LHCb, CMS, and ATLAS collaborations, we perform a systematic study of the ground states and the first radial excitations of the S- and P-wave 
system. Their mass spectra, root mean square (r.m.s.) radii and radial density distributions are studied with the relativized quark model. The calculations show that there is no stable bound states for the fully charmed tetraquark states, and the r.m.s. radii of these tetraquark states are smaller than 1 fm. Our results support assigning X(6600) structure, M
MeV, as one of the 
(1S) and 
(1S) states or their mixtures. Another structure also named as X(6600) by CMS Collaboration, M
GeV, may arise from the lowest 1P states with 
, 
, and 
. The possible assignments for X(6900) include the (2S), (2S) states, and the highest 1P state with . As for X(7200), it can be interpreted as one of the highest 2P states with , , and , and the 3S states can not be completely excluded from the candidates.
© The Author(s) 2023
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development.
