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Peer-reviewedCC BY 4.0The European Physical Journal C

Bc meson spectroscopy from Bayesian MCMC: probing confinement and state mixing

  • A. Christas Mony1
  • Rohit Dhir1
  1. 1SRM Institute of Science and Technology
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Abstract

We present a Bayesian study of the Bc B c meson spectrum using three non-relativistic confining potentials, namely, the Cornell potential, a logarithmically modified extension, and a screened Cornell form. Parameters for each potential are sampled using Markov chain Monte Carlo (MCMC), retaining correlations among the fitted parameters. The resulting parameter distributions are used to calculate the Bc B c spectrum through the 6 D multiplet, including masses, spin-dependent splittings, mixing angles, and wave-function observables. The predicted masses are further examined through Regge trajectories. The low-lying spectrum is relatively stable across the three potentials, while their predictions become increasingly separated with excitation as the states probe larger distances, accompanied by growing parameter-induced uncertainties. The Regge trajectories show stronger non-linearity for low-lying states and progressively approach linear behavior with excitation. These results quantify the sensitivity of the predicted excited Bc B c spectrum to the chosen confining interaction and provide uncertainty estimates for states that remain experimentally less explored.

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Cite

BibTeXRIS
BibTeX
@article{mony2026meson,
  title = {{$$B_c$$ meson spectroscopy from Bayesian MCMC: probing confinement and state mixing}},
  author = {A. Christas Mony and Rohit Dhir},
  journal = {The European Physical Journal C},
  year = {2026},
  month = oct,
  doi = {10.1140/epjc/s10052-026-16315-6},
  url = {https://link.springer.com/article/10.1140/epjc/s10052-026-16315-6},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - B_c meson spectroscopy from Bayesian MCMC: probing confinement and state mixing
AU  - A. Christas Mony
AU  - Rohit Dhir
PY  - 2026
DA  - 2026/10/23
JO  - The European Physical Journal C
DO  - 10.1140/epjc/s10052-026-16315-6
UR  - https://link.springer.com/article/10.1140/epjc/s10052-026-16315-6
AB  - We present a Bayesian study of the B_c B c meson spectrum using three non-relativistic confining potentials, namely, the Cornell potential, a logarithmically modified extension, and a screened Cornell form. Parameters for each potential are sampled using Markov chain Monte Carlo (MCMC), retaining correlations among the fitted parameters. The resulting parameter distributions are used to calculate the B_c B c spectrum through the 6 D multiplet, including masses, spin-dependent splittings, mixing angles, and wave-function observables. The predicted masses are further examined through Regge trajectories. The low-lying spectrum is relatively stable across the three potentials, while their predictions become increasingly separated with excitation as the states probe larger distances, accompanied by growing parameter-induced uncertainties. The Regge trajectories show stronger non-linearity for low-lying states and progressively approach linear behavior with excitation. These results quantify the sensitivity of the predicted excited B_c B c spectrum to the chosen confining interaction and provide uncertainty estimates for states that remain experimentally less explored.
SN  - 1434-6044
SN  - 1434-6052
ER  -