- Letter
- Open Access
Deciphering the nature of with the PACIAE model
Phys. Rev. D 113, L031501 – Published 11 February, 2026
DOI: https://doi.org/10.1103/8d96-2tbq
Abstract
Inspired by the BESIII newest observation of an axial-vector particle in the process [M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 134, 191901 (2025)], we simulate its production in collisions at using the parton and hadron cascade model PACIAE 4.0. In this model, the final partonic state (FPS) and the final hadronic state (FHS) are simulated and recorded sequentially. While previous interpretations have described the as an excited strangeonium state or an tetraquark state, it is noted that the anomaly coupling permits nonstrange quarks to couple to a vector component via soft-gluon interactions. This motivates us to propose, for the first time, that the could also be a () state. Furthermore, we suggest another novel possibility that the may be a hadro-strangeonium state, i.e., a bound system of a strangeonium and a light hadron. The excited strangeonium candidate is formed by coalescing an quark pair in the FPS with the quantum statistical mechanics inspired dynamically constrained phase-space coalescence (DCPC) model. The tetraquark candidates of and are similarly produced by coalescing four constituent quarks in the FPS. In contrast, a hadro-strangeonium candidate emerges from the recombination of the constituent mesons and in the FHS. We then calculate the ’s orbital angular momentum quantum number in its rest frame and perform the spectral classification for each of the above candidates. Given its quantum numbers , the is identified as a -wave , an -wave or an -wave candidate. For the first time, we estimate the production rates for these configurations. The -wave and -wave states are produced at rates on the order of , whereas the -wave and states appear at rates on the order of . Moreover, significant discrepancies are observed in the rapidity distributions and the transverse momentum spectra among the different candidates. These discrepancies could be served as valuable criteria for deciphering the nature of the .
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