Abstract

In the present work, the mass spectra of doubly heavy tetraquarks $T_{QQ^\prime}$ are systematically investigated in a relativized quark model. The four-body systems including the Coulomb potential, confining potential, spin-spin interactions, and relativistic corrections are solved within the variational method. Our results suggest that the $IJ^P=01^+$ $bb \bar u \bar d$ state is 54 MeV below the relevant $\bar B \bar B$ and $\bar B \bar B^*$ thresholds, which indicates that both strong and electromagnetic decays are forbidden, and thus this state can be a stable one. Its large hidden color component and small root mean square radius demonstrate that it is a compact tetraquark rather than a loosely bound molecule or point-like diquark-antidiquark structure. Our predictions of the doubly heavy tetraquarks may provide valuable information for future experimental searches.

Highlights

  • The mass spectra of doubly heavy tetraquarks TQQ0 are systematically investigated in a relativized quark model

  • The four-body systems including the Coulomb potential, confining potential, spin-spin interactions, and relativistic corrections are solved within the variational method

  • In the past two decades, plenty of new resonances have been observed in the hadronic physics, and some of them can be hardly classified into the conventional hadron sectors, i.e., mesons and baryons [1]

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Summary

INTRODUCTION

In the past two decades, plenty of new resonances have been observed in the hadronic physics, and some of them can be hardly classified into the conventional hadron sectors, i.e., mesons and baryons [1] These exotic structures have attracted extensive theoretical and experimental interests due to their enigmatic properties [2,3,4,5,6,7,8,9,10,11,12]. We investigate the mass spectra of doubly heavy tetraquarks TQQ0 in the relativized quark model proposed by Godfrey, Capstick, and Isgur [84,85]. This model has been extensively adopted to study the properties of conventional hadrons and it may give a unified description of different flavor sectors.

Hamiltonian
Matrix elements of spatial part
Generalized eigenvalue problem
Numerical stability
Nonstrange systems
Strange systems
SUMMARY
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