Masses of doubly heavy tetraquarks <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>Q</mml:mi><mml:msup><mml:mi>Q</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:msub></mml:math> in a relativized quark model
Qi-Fang Lü, Dian-Yong Chen, Yubing Dong
Abstract
In the present work, the mass spectra of doubly heavy tetraquarks ${T}_{Q{Q}^{\ensuremath{'}}}$ 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 $I{J}^{P}=0{1}^{+}\text{ }\text{ }bb\overline{u}\overline{d}$ state is 54 MeV below the relevant $\overline{B}{\overline{B}}^{*}$ 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 pointlike diquark-antidiquark structure. Our predictions of the doubly heavy tetraquarks may provide valuable information for future experimental searches.