https://doi.org/10.1140/epjp/s13360-026-07591-y
Regular Article
Correction to the chromoelectric interaction energy of the fully heavy tetraquark state
1
School of Media Engineering, Lanzhou University of Arts and Sciences, 730010, Lanzhou, China
2
Xinjiang Laboratory Phase Transitions and Microstructures in Condensed Matters, College of Physical Science and Technology, Yili Normal University, 835000, Yining, Xinjiang, China
3
Key Laboratory of Atomic and Molecular Physics & Functional Materials of Gansu Province, College of Physics and Electronic Engineering, Northwest Normal University, 730070, Lanzhou, China
a
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Received:
21
January
2026
Accepted:
18
March
2026
Published online:
31
March
2026
Abstract
Based on the color-factor relations associated with the short-range interaction between heavy quarks, we introduce into the MIT bag model a chromoelectric interaction formulated with the bag radius R as a variational parameter. Calculations for doubly heavy baryons show that incorporating the running form of the binding energy leads to a mass correction of about 
, and the results agree well with the experimentally observed 
. For fully heavy baryon systems, the correction is approximately 
, indicating the necessity of including the short-range interaction correction. Furthermore, our calculations for fully heavy tetraquark systems support the assignment of 
for X(6600), and we also provide the angular-momentum partners of its ground state. In addition, the fact that X(6600) and other fully heavy tetraquarks generally lie above the corresponding two-meson thresholds is explained qualitatively based on the chromoelectric interaction.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2026
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
