4–7 Dec 2026
Asia/Shanghai timezone

Non-perturbative Hamiltonian renormalization in the basis light-front approach: Application to the $\Omega_{ccc}$ baryon

Not scheduled
20m

Speaker

Yang Li (University of Science and Technology of China)

Description

Within the basis light-front Hamiltonian approach, we investigate the structure and properties of the triply charmed baryon $\Omega_{ccc}$. Our framework begins with a phenomenological quark-quark Hamiltonian comprising a one-gluon exchange interaction and a holographic confinement potential, with parameters fully constrained by fits to the meson mass spectrum. While extending this same Hamiltonian to the three-body baryon sector is theoretically straightforward, solving it directly is computationally hindered by the ``curse of dimensionality" inherent in large basis spaces. To circumvent this, we implement the non-perturbative Okubo-Lee-Suzuki (OLS) renormalization method. This approach allows us to systematically integrate out the high-energy degrees of freedom and derive an effective Hamiltonian that operates within a highly truncated model space. By adopting this effective Hamiltonian in the baryon sector, we are able to perform calculations using a significantly smaller basis. We present a detailed convergence study demonstrating that the OLS renormalization approach achieves substantially faster convergence compared to unrenormalized calculations. Finally, utilizing this effective framework, we present the calculated mass spectrum of the triply charmed baryon $\Omega_{ccc}$ along with its corresponding hadronic observables, showcasing the efficiency and predictive power of this renormalization scheme for multiquark systems.

Author

Yang Li (University of Science and Technology of China)

Co-author

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