Regge trajectories for the doubly heavy triquarks $((Qq)\bar{Q}')$

TL;DR

This paper applies Regge trajectory methods to estimate the spectra of doubly heavy triquarks, providing a simple approach that aligns with other theoretical predictions and offers insights into pentaquark and hexaquark excitations.

Contribution

It introduces a novel application of Regge trajectories to doubly heavy triquarks, enabling crude spectral estimations and analysis of excitation modes.

Findings

Estimated spectra for various doubly heavy triquarks.

Proposed a simple Regge trajectory approach for triquark spectra.

Predicted spin-averaged masses of certain pentaquarks consistent with other models.

Abstract

We attempt to apply the Regge trajectory approach to the doubly heavy triquarks $((Qq)\bar{Q}^{\prime})$ $(Q,\,Q'=b,\,c; q=u,\,d,\,s)$. We propose the Regge trajectory relations for the doubly heavy triquarks, and then employ them to crudely estimate the spectra of the triquarks $((cu)\bar{c})$, $((cu)\bar{b})$, $((cs)\bar{c})$, $((cs)\bar{b})$, $((bu)\bar{c})$, $((bu)\bar{b})$, $((bs)\bar{c})$, and $((bs)\bar{b})$. The $\lambda$-trajectories and the $\rho$-trajectories are investigated. The triquark Regge trajectory becomes a new and very simple approach for estimating the spectra of triquarks. It also provides a simple method to investigate the $\rho$-mode and $\sigma$-mode excitations of pentaquarks and hexaquarks in the triquark picutre. Moreover, the spin-averaged masses of the ground states of pentaquarks $(\bar{c}(cu))(cu)$, $(\bar{b}(bu))(bu)$ and $(\bar{c}(cu))(bu)$ are estimated, which are consistent with other theoretical predictions.