Abstract
The mass spectra of singly bottom baryon \(\varOmega _b^{-}\) is determined using the Hypercentral Constituent Quark Model. The confinement potential is assumed in the hyper central co-ordinates as hyper coulomb plus power potential. The ground state \(m_{\varOmega _b^{-}}= 6048.8 \pm 3.2\) MeV with \(J^{P}= \frac{1}{2}^{+}\) is found experimentally till now. Our calculated mass spectra for \(\varOmega _b^{-}\) is obtained by varying potential index \(\nu \) value from 0.5 to 2.0 for ground and radial excited states while orbital excited states are determined at \(\nu =1.0\). Lattice QCD results and other recent theoretical predicted masses are close to our obtained results. Using these mass spectra we plotted Regge trajectories in (n, \(M^{2}\)) and (J, \(M^{2}\)) planes. The trajectories are useful to determine the unknown \(J^{P}\) values of particular states.
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A. K. Rai acknowledges the financial support extended by DST, India, under SERB fast track scheme SR/FTP/PS- 152/2012.
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This article belongs to the Topical Collection “NSTAR 2017—The International Workshop on the Physics of Excited Nucleons”.
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Shah, Z., Rai, A.K. Mass Spectra of Singly Beauty \(\varvec{\varOmega _b^{-}}\) Baryon. Few-Body Syst 59, 112 (2018). https://doi.org/10.1007/s00601-018-1435-2
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DOI: https://doi.org/10.1007/s00601-018-1435-2