The mass and coupling of the scalar tetraquark \(T_{bb;\overline{u}\overline{d }}^{-}\) (hereafter \(T_{b:\overline{d}}^{-} \)) are calculated in the context of the QCD two-point sum rule method. In computations we take into account effects of various quark, gluon and mixed condensates up to dimension ten. The result obtained for the mass of this state \(m=(10135\pm 240)~\mathrm {MeV} \) demonstrates that it is stable against the strong and electromagnetic decays. We also explore the dominant semileptonic \(T_{b:\overline{d}}^{-} \rightarrow \widetilde{Z}_{bc;\bar{u}\bar{d}}^{0}l\overline{\nu }_{l}\) and nonleptonic decays \(T_{b:\overline{d}}^{-} \rightarrow \widetilde{Z}_{bc;\bar{u}\bar{ d}}^{0}M\), where \(\widetilde{Z}_{bc;\bar{u}\bar{d}}^{0}\) is the scalar tetraquark composed of color-sextet diquark and antidiquark, and M is one of the final-state pseudoscalar mesons \(\pi ^{-}, K^{-}, D^{-}\) and \(D_s^{-}\) , respectively. The partial widths of these processes are calculated in terms of the weak form factors \(G_{1(2)}(q^2)\), which are determined from the QCD three-point sum rules. Predictions for the mass, full width \(\Gamma _{\mathrm {full}} =(10.88\pm 1.88)\times 10^{-10}~\mathrm {MeV}\), and mean lifetime \(\tau =0.61_{-0.09}^{+0.13}~\mathrm {ps}\) of the \(T_{b:\overline{d} }^{-}\) obtained in the present work can be used in theoretical and experimental studies of this exotic state.

中文翻译：

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稳定的标量四夸克$$ T_ {bb; \ bar {u} \ bar {d}} ^ {-} $$ T b b; u d-

标量四夸克的质量和耦合\（T_ {bb; \ overline {u} \ overline {d}} ^ {-} \）（以下为\（T_ {b：\ overline {d}} ^ {-} \ ））是在QCD两点求和规则方法的上下文中计算的。在计算中，我们考虑了各种夸克，胶子和混合冷凝物（直至尺寸10）的影响。对于该状态\（m =（10135 \ pm 240）〜\ mathrm {MeV} \）的质量所获得的结果表明，它对于强衰变和电磁衰变是稳定的。我们还探索了占主导地位的半轻子\（T_ {b：\ overline {d}} ^ {-} \ rightarrow \ widetilde {Z} _ {bc; \ bar {u} \ bar {d}} ^ {0} l \ {\ nu} _ {l} \）和非轻子衰减\（T_ {b：\ overline {d}} ^ {-} \ rightarrow \ widetilde {Z} _ {bc; \ bar {u} \ bar {d }} ^ {0} M \），其中\（\ widetilde {Z} _ {bc; \ bar {u} \ bar {d}} ^ {0} \）是标量四夸克，由色延双夸克和反双夸克组成，M是最终状态之一伪标量介子\（\ pi ^ {-}，K ^ {-}，D ^ {-} \）和\（D_s ^ {-} \）。这些过程的局部宽度是根据QCD三点求和规则确定的弱形状因子\（G_ {1（2）}（q ^ 2）\）来计算的。质量，全宽\（\ Gamma _ {\ mathrm {full}} =（10.88 \ pm 1.88）×10 ^ {-10}〜\ mathrm {MeV} \）和平均寿命\（\ tau = 0.61 _ { - 0.09} ^ {+ 0.13}〜\ mathrm {PS} \）的的\（T_ {b：\ {划线d}} ^ { - } \） 在本工作中获得的结果可用于这种奇异状态的理论和实验研究。