Study of Fully heavy Pentaquarks using extended Gursey-Radicati formalism

Abstract

The study of exotic multi-quark states has garnered significant attention recently, particularly in heavy-quark dynamics within quantum chromodynamics (QCD). We perform a comprehensive spectroscopic analysis of fully heavy pentaquark states with quark configurations $cccc\bar{c}$ and $bbbb\bar{b}$, considering spin-parity quantum numbers $J^P=1/2^{-}$, $3/2^{-}$, and $5/2^{-}$. We construct the color-spin wavefunctions to explore the internal structure and mixing effects in these exotic states. Using an extended form of the Gursey-Radicati mass formula by incorporating spin-dependent interactions, we calculated their mass spectra. The modification incorporates effective mass contributions and hyperfine interactions to improve the predictive power for these hadronic states. We systematically analyze their quantum numbers, including spin parity, isospin, and the eigenvalues of the quadratic Casimir operator, which characterize their symmetry properties. The calculated mass spectra are compared with existing theoretical predictions to assess the stability and possible decay channels of these states. The calculated mass spectra exhibit a strong dependence on the interplay between spin interactions and color configurations, shedding light on the binding mechanism within these fully heavy multiquark systems. To gain further insights into their stability and decay properties, we investigated their potential production modes from $b$-hadron decays. Our analysis identifies dominant strong decay channels, providing critical theoretical benchmarks for distinguishing these states in future LHCb or EIC experiments. This study offers new insights into the role of heavy-quark dynamics in exotic hadron spectroscopy, serving as a stringent test for effective QCD-based models and lattice QCD predictions.

References in corpus (22)

• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• The New Pentaquarks in the Diquark Model
• Model-independent evidence for $J/\psi p$ contributions to ${\Lambda }_b^0\to J/\psi p{K}^{-}$ decays
• Observation of a $J/\psi \Lambda$ resonance consistent with a strange pentaquark candidate in $B^{-}\to J/\psi \Lambda \bar{p}$ decays
• Evidence for exotic hadron contributions to ${\Lambda }_b^0\to J/\psi p{\pi }^{-}$ decays
• Compact pentaquark structures
• The Simple Spectrum of $c\bar{c}c\bar{c}$ States in the Dynamical Diquark Model
• Systematics of fully heavy tetraquarks
• Strong decays of fully-charm tetraquarks into di-charmonia
• Gluonic Tetracharm Configuration of $X(6900)$
• Fully heavy pentaquarks
• Fully-heavy pentaquark states
• Heavy flavor pentaquarks with four heavy quarks
• Phenomenological predictions for pentaquark masses from fits to baryon masses
• Masses and magnetic moments of exotic fully heavy pentaquarks
• Tetraquark Masses by using extension of Gursey-Radicati Mass Formula
• Hidden-Bottom Pentaquarks: Mass Spectrum, Magnetic Moments and Partial Widths
• Spectroscopic Analysis of Hidden-Charm Pentaquarks
• Phenomenological Analysis of Triply Heavy Pentaquarks with configurations $q\Bar{q}QQQ$ and $qqQQ\Bar{Q}$
• Masses and Magnetic Moments of Singly Heavy Pentaquarks
• Pentaquark spectroscopy: exotic Theta baryons