Bottom-charmed baryons in a nonrelativistic quark model

Qing-Fu Song; Qi-Fang Lü; Atsushi Hosaka

doi:10.1140/epjc/s10052-024-12426-0

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 89
https://doi.org/10.1140/epjc/s10052-024-12426-0

Regular Article - Theoretical Physics

Bottom-charmed baryons in a nonrelativistic quark model

Qing-Fu Song¹^,2, Qi-Fang Lü¹^,2^,3^b and Atsushi Hosaka³^,4

¹ Department of Physics, Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, 410081, Changsha, China
² Key Laboratory for Matter Microstructure and Function of Hunan Province, Hunan Normal University, 410081, Changsha, China
³ Research Center for Nuclear Physics (RCNP), 567-0047, Ibaraki, Osaka, Japan
⁴ Advanced Science Research Center, Japan Atomic Energy Agency, 319-1195, Tokai, Ibaraki, Japan

^b lvqifang@hunnu.edu.cn

Received: 21 October 2023
Accepted: 10 January 2024
Published online: 27 January 2024

Abstract

In this work, we study the low-lying mass spectra for bottom-charmed baryons in a nonrelativistic quark model by solving the three-body Schrödinger equation. The lowest $Ξ_{bc}$ $\Xi _{bc}$ , $Ξ_{bc}^{'}$ $\Xi _{bc}^\prime$ , $Ω_{bc}$ $\Omega _{bc}$ , and $Ω_{bc}^{'}$ $\Omega _{bc}^\prime$ states are predicted to be about 6979, 6953, 7109, and 7092 MeV, respectively. Also, the strong decays for the low-lying excited states are investigated. Our results indicate that some of $λ$ $\lambda$ -mode P-wave bottom-charmed baryons are relatively narrow, which can be searched for in future experiments. For the low-lying $ρ$ $\rho$ -mode and $ρ - λ$ $\rho -\lambda$ hybrid states, their strong decays are highly suppressed and they can survive as extremely narrow states. Moreover, the mass spectra and strong decays for bottom-charmed baryons preserve the heavy quark symmetry well. We hope our calculations can provide helpful information for further experimental and theoretical researches.

© The Author(s) 2024

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