Abstract

In this paper, we adopt an extended relativized quark model to investigate the triply-heavy tetrquarks systematically. The mass spectra are obtained by solving the four-body relativized Hamiltonian including the Coulomb potential, confining potential, spin-spin interactions, and relativistic corrections. We find that all of the triply-heavy tetraquarks lie above the corresponding meson-meson thresholds, and thus no stable one exists. In particular, besides the spin-spin interactions, the Coulomb and confining potentials also contribute to the mass splittings in the $cb\bar c \bar q$ and $cb\bar b \bar q$ systems. Moreover, the whole mass spectra for triply heavy tetraquarks show quite similar patterns, which preserve the light flavor SU(3) symmetry and heavy quark symmetry well. Through the fall-apart mechanism, the triply-heavy tetraquarks may easily decay into the heavy quarkonium plus heavy-light mesons, which are good candidates for investigation in future experiments.

Highlights

  • In the past two decades, a large number of new hadron states have been observed experimentally, some of which are difficult to clarify as the conventional mesons or baryons

  • The mass spectra are obtained by solving the four-body relativized Hamiltonian including the Coulomb potential, confining potential, spin-spin interactions, and relativistic corrections

  • Besides the spin-spin interactions, the Coulomb and confining potentials contribute to the mass splittings in the cbcqand cbbqsystems

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Summary

INTRODUCTION

In the past two decades, a large number of new hadron states have been observed experimentally, some of which are difficult to clarify as the conventional mesons or baryons. In previous works [30,86,118], we extended the relativized quark model proposed by Godfrey and Isgur in order to investigate the singly-, doubly-, and fully-heavy tetraquark systems with the original model parameters. With such an extension, the tetraquaks and conventional mesons can be described in a uniform frame. We further study the mass spectra of the triply-heavy tetraquarks in the extended relativized quark model and discuss their possible strong decay behaviors, which may provide helpful information for future experimental searches.

EXTENDED RELATIVIZED QUARK MODEL
MASS SPECTRA AND STRONG DECAY MODES
The cccqand ccbqsystems
The bbcqand bbbqsystems
B ÃcB Ãs
The cbcqand cbbqsystems
Discussions
SUMMARY
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