Regge trajectories for the triply heavy triquarks

TL;DR

This paper applies Regge trajectory methods to estimate the spectra of triply heavy triquarks and related pentaquark states, providing a simple approach consistent with other theoretical models.

Contribution

It introduces a new application of Regge trajectories to triply heavy triquarks and estimates their spectra and related pentaquark masses.

Findings

Regge trajectories can estimate triply heavy triquark spectra.

Estimated pentaquark masses align with existing theories.

The approach simplifies spectral predictions for heavy multiquark states.

Abstract

We attempt to apply the Regge trajectory approach to the triply heavy triquarks $((QQ')\bar{Q}^{\prime\prime})$ $(Q,\,Q',\,Q^{\prime\prime}=b,\,c)$. We present the triquark Regge trajectory relations, and then employ them to crudely estimate the spectra of the triquarks $((cc)\bar{c})$, $((cc)\bar{b})$, $((bc)\bar{c})$, $((bc)\bar{b})$, $((bb)\bar{c})$, and $((bb)\bar{b})$. The $\lambda$-trajectories and the $\rho$-trajectories are discussed. The triquark Regge trajectory becomes a new and very simple approach for estimating the spectra of triquarks. Moreover, the spin-averaged masses of the ground states of pentaquarks $(\bar{c}(cc))(cc)$, $(\bar{b}(cc))(cc)$ and $(\bar{c}(bb))(cc)$ are estimated, which are consistent with other theoretical predictions.