In this paper, we determine the radial and orbital states mass spectra of the triply heavy baryon [Formula: see text] with total spin [Formula: see text] and 3/2 using the hypercentral constituent quark model (hCOM). The mass spectra are obtained by incorporating the color Coulomb plus linear confining term and the harmonic oscillator potential with first-order correction. Additionally, we considered spin–spin, spin-orbit and tensor interactions for hyperfine splitting calculation. Our computed mass spectra of the [Formula: see text] baryon is compared with existing literature. Further, we establish Regge trajectories of this baryon in ([Formula: see text]) and ([Formula: see text]) planes which are helpful in determining the unknown quantum number and [Formula: see text] values.
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