Excited state mass spectra of doubly heavy baryons , , and

Zalak Shah; Kaushal Thakkar; Ajay Kumar Rai

doi:10.1140/epjc/s10052-016-4379-z

EPJ

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2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2016) 76: 530
https://doi.org/10.1140/epjc/s10052-016-4379-z

Regular Article - Theoretical Physics

Excited state mass spectra of doubly heavy baryons ${\Omega _{cc}}$ , ${\Omega _{bb}}$ , and ${\Omega _{bc}}$

Zalak Shah¹, Kaushal Thakkar² and Ajay Kumar Rai¹^*

¹ Department of Applied Physics, Sardar Vallabhbhai National Institute of Technology, Surat, Gujarat, 395007, India
² Department of Applied Sciences and Humanities, GIDC Degree Engineering college, Abrama, Navsari, 396406, India

^* e-mail: raiajayk@gmail.com

Received: 22 August 2016
Accepted: 15 September 2016
Published online: 28 September 2016

Abstract

We discuss the mass spectrum of $\Omega$ baryon with two heavy quarks and one light quark (ccs, bbs, and bcs). The main goal of the paper is to calculate the ground state masses and after that, the positive and negative parity excited states masses are also obtained within a hypercentral constituent quark model, using Coulomb plus linear potential framework. We also added a first order correction to the potential. The mass spectra up to 5S for radial excited states and 1P–5P, 1D–4D, and 1F–2F states for orbital excited states are computed for $\Omega _{cc}$ , $\Omega _{bb}$ , and $\Omega _{bc}$ baryons. Our obtained results are compared with other theoretical predictions, which could be a useful complementary tool for the interpretation of experimentally unknown heavy baryon spectra. The Regge trajectory is constructed in both the ( $$n_r$$ , $M^{2}$ ) and the (J, $M^{2}$ ) planes for $\Omega _{cc}$ , $\Omega _{bb}$ , and $\Omega _{bc}$ baryons and their slopes and intercepts are also determined. Magnetic moments of doubly heavy $\Omega '$ s are also calculated.