English

Basis light-front quantization for the $\Lambda_b$ and $\Sigma_b$ baryons

High Energy Physics - Phenomenology 2025-03-18 v2 High Energy Physics - Theory

Abstract

Within the basis light-front quantization framework, we compute the masses and light-front wave functions of the Λb\Lambda_b baryon and its isospin triplet counterparts Σb+\Sigma_b^+, Σb0\Sigma_b^0, and Σb\Sigma_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.

Keywords

Cite

@article{arxiv.2503.10026,
  title  = {Basis light-front quantization for the $\Lambda_b$ and $\Sigma_b$ baryons},
  author = {Lingdi Meng and Tian-Cai Peng and Zhi Hu and Siqi Xu and Jiangshan Lan and Chandan Mondal and Guo-Li Wang and Xingbo Zhao and James P. Vary},
  journal= {arXiv preprint arXiv:2503.10026},
  year   = {2025}
}

Comments

arXiv admin note: text overlap with arXiv:2208.00355

R2 v1 2026-06-28T22:18:33.305Z