Ground and excited state masses of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi>c</mml:mi><mml:mn>0</mml:mn></mml:msubsup></mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi mathvariant="normal">Ω</mml:mi><mml:mrow><mml:mi>c</mml:mi><mml:mi>c</mml:mi></mml:mrow><mml:mo>+</mml:mo></mml:msubsup></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi mathvariant="normal">Ω</mml:mi><mml:mrow><mml:mi>c</mml:mi><mml:mi>c</mml:mi><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:math> baryons

Abstract

The masses of ground and excited states of ${\mathrm{\ensuremath{\Omega}}}_{c}^{0}$, ${\mathrm{\ensuremath{\Omega}}}_{cc}^{+}$, and ${\mathrm{\ensuremath{\Omega}}}_{ccc}^{*++}$ baryons are calculated within the framework of Regge phenomenology. Here our attempt is to assign a possible spin parity to these obtained masses. Our calculated masses in the $(J,{M}^{2})$ plane with both natural (${J}^{P}=1/{2}^{+},3/{2}^{\ensuremath{-}},5/{2}^{+},\dots{}$) and unnatural (${J}^{P}=3/{2}^{+},5/{2}^{\ensuremath{-}},7/{2}^{+},\dots{}$) spin parities are in agreement with the experimental observations where available and reasonably close to other theoretical predictions. Further, we fix the slope and intercept of each Regge line in the $(n,{M}^{2})$ plane and estimate the masses of higher excited states of these baryons. The obtained mass relations and the mass value predictions could provide useful information in future experimental searches and the spin-parity assignment of these states.

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