Spectroscopy of ncncc̅, nnnnc̅, and nnncc̅ pentaquarks within the framework of Regge phenomenology
Abstract
We investigate the mass spectra of the ncncc̅, nnnnc̅, and nnncc̅ pentaquark systems, where n denotes a light u or d quark, within a leading-order linear Regge approximation. The extension of the baryon intercept and inverse-slope additivity relations to these systems is implemented as a minimal cluster-additive ansatz for compact color-antitriplet diquarks, rather than assumed to be an exact QCD relation. By analyzing the corresponding trajectories in the (J,M2) plane, we first determine the allowed mass range of the ground-state ncncc̅ pentaquark and extract the associated Regge parameters. Using these inputs, we estimate the mass intervals of the excited states of the ncncc̅, nnnnc̅, and nnncc̅ systems. We also obtain analytical mass-inequality relations. The resulting spectra exhibit a systematic ordering with increasing total spin and orbital excitation along the Regge trajectories. We further compare the predicted states with selected kinematically compatible meson--baryon thresholds as a qualitative guide to possible nearby channels. Our results provide a useful reference for future theoretical studies and may serve as a guide for experimental searches and spin-parity assignments of pentaquark candidates in the open- and hidden-charm sectors.
Versions
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BibTeX
@misc{patel2026spectroscopy,
title = {{Spectroscopy of $ncnc\barc$, $nnnn\barc$, and $nnnc\barc$ pentaquarks within the framework of Regge phenomenology}},
author = {Vandan Patel and Ajay Kumar Rai},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.12973},
eprint = {2610.12973},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.12973},
}
RIS
TY - UNPB
TI - Spectroscopy of ncncc̅, nnnnc̅, and nnncc̅ pentaquarks within the framework of Regge phenomenology
AU - Vandan Patel
AU - Ajay Kumar Rai
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2610.12973
UR - https://arxiv.org/abs/2610.12973
AB - We investigate the mass spectra of the ncncc̅, nnnnc̅, and nnncc̅ pentaquark systems, where n denotes a light u or d quark, within a leading-order linear Regge approximation. The extension of the baryon intercept and inverse-slope additivity relations to these systems is implemented as a minimal cluster-additive ansatz for compact color-antitriplet diquarks, rather than assumed to be an exact QCD relation. By analyzing the corresponding trajectories in the (J,M^2) plane, we first determine the allowed mass range of the ground-state ncncc̅ pentaquark and extract the associated Regge parameters. Using these inputs, we estimate the mass intervals of the excited states of the ncncc̅, nnnnc̅, and nnncc̅ systems. We also obtain analytical mass-inequality relations. The resulting spectra exhibit a systematic ordering with increasing total spin and orbital excitation along the Regge trajectories. We further compare the predicted states with selected kinematically compatible meson--baryon thresholds as a qualitative guide to possible nearby channels. Our results provide a useful reference for future theoretical studies and may serve as a guide for experimental searches and spin-parity assignments of pentaquark candidates in the open- and hidden-charm sectors.
ER -