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arXiv · 2503.10026

Basis light-front quantization for the $Λ_b$ and $Σ_b$ baryons

Lingdi Meng·Tian-Cai Peng·Zhi Hu·Siqi Xu·Jiangshan Lan·Chandan Mondal·Guo-Li Wang·Xingbo Zhao·James P. Vary
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Abstract

Within the basis light-front quantization framework, we compute the masses and light-front wave functions of the $Λ_b$ baryon and its isospin triplet counterparts $Σ_b^+$, $Σ_b^0$, and $Σ_b^-$ using a light-front effective Hamiltonian in the leading Fock sector. These wave functions are obtained as eigenstates of the effective Hamiltonian, which incorporates the one-gluon exchange interaction with fixed coupling and a three-dimensional confinement potential. With the quark masses and the couplings as adjustable parameters, the computed masses are set within the experimental range. The resulting predictions for their electromagnetic properties align well with other theoretical calculations. Additionally, the parton distribution functions (PDFs) of these baryons are obtained for the first time, with gluon and sea quark distributions dynamically generated through QCD evolution of the valence quark PDFs.

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Lingdi Meng, Tian-Cai Peng, Zhi Hu, Siqi Xu, Jiangshan Lan, Chandan Mondal, Guo-Li Wang, Xingbo Zhao, James P. Vary. 2025-03-16. Basis light-front quantization for the $Λ_b$ and $Σ_b$ baryons. https://arxiv.org/abs/2503.10026

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