Abstract:The question of whether there exist bound states of two heavy quarks Q = (c, b) and antiquarksQ = (c,b), distinct from a pair of quark-antiquark mesons, has been debated for more than forty years. We estimate masses of Q 1 Q 2Q3Q4 resonant states X Q 1 Q 2Q3Q4 and suggest means of producing and observing them. We concentrate on the cccc channel which is most easily produced and the bbbb channel which has a better chance of being relatively narrow. We obtain M(X cccc ) = 6,192±25 MeV and M(X bbbb ) = 18,826±25 … Show more
“…The masses of the 0 ++ and 2 ++ Q QQQ tetraquark states from the phenomenological quark models lie above or below those thresholds [3][4][5][6][7][8][9][10][11][12]. In Ref.…”
Section: Numerical Results and Discussionmentioning
confidence: 99%
“…On the other hand, if there exist tetraquark configurations that consist of four heavy quarks, the dynamics is very simple. There has been a variety of work on the mass spectrum of the Q QQQ tetraquark states, such as the nonrelativistic potential models [3][4][5][6][7], the Bethe-Salpeter equation [8], the constituent diquark model with spin-spin interaction [9,10], the constituent quark model with colormagnetic interaction [11], the moment QCD sum rules [12], etc. In this article, we study the tetraquark states consist of four heavy quarks with the Borel QCD sum rules.…”
In this article, we study the J PC = 0 ++ and 2 ++ Q QQQ tetraquark states with the QCD sum rules, and we obtain the predictions M X (cccc,0 ++ ) = 5.99 ± 0.08 GeV, M X (cccc,2 ++ ) = 6.09 ± 0.08 GeV, M X (bbbb,0 ++ ) = 18.84 ± 0.09 GeV and M X (bbbb,2 ++ ) = 18.85 ± 0.09 GeV, which can be confronted to the experimental data in the future. Furthermore, we illustrate that the diquark-antidiquark type tetraquark state can be taken as a special superposition of a series of meson-meson pairs and that it embodies the net effects.
“…The masses of the 0 ++ and 2 ++ Q QQQ tetraquark states from the phenomenological quark models lie above or below those thresholds [3][4][5][6][7][8][9][10][11][12]. In Ref.…”
Section: Numerical Results and Discussionmentioning
confidence: 99%
“…On the other hand, if there exist tetraquark configurations that consist of four heavy quarks, the dynamics is very simple. There has been a variety of work on the mass spectrum of the Q QQQ tetraquark states, such as the nonrelativistic potential models [3][4][5][6][7], the Bethe-Salpeter equation [8], the constituent diquark model with spin-spin interaction [9,10], the constituent quark model with colormagnetic interaction [11], the moment QCD sum rules [12], etc. In this article, we study the tetraquark states consist of four heavy quarks with the Borel QCD sum rules.…”
In this article, we study the J PC = 0 ++ and 2 ++ Q QQQ tetraquark states with the QCD sum rules, and we obtain the predictions M X (cccc,0 ++ ) = 5.99 ± 0.08 GeV, M X (cccc,2 ++ ) = 6.09 ± 0.08 GeV, M X (bbbb,0 ++ ) = 18.84 ± 0.09 GeV and M X (bbbb,2 ++ ) = 18.85 ± 0.09 GeV, which can be confronted to the experimental data in the future. Furthermore, we illustrate that the diquark-antidiquark type tetraquark state can be taken as a special superposition of a series of meson-meson pairs and that it embodies the net effects.
“…[2] makes use of a scheme in which quarks in baryons are endowed with effective masses about 55 MeV heavier than those in mesons. An alternative approach with universal quark masses compensates for this difference by adding a term S = 165 MeV associated with a "string junction," of which baryons possess one while mesons possess none [12]. Unless the QQ system can be thought of as a pointlike object equivalent to a heavy antiquark, a QQūd tetraquark will have two string junctions, with a corresponding [1] to confirm an assumption about the interaction energy of two heavy quarks Q in a tetraquark T = QQūd.…”
Recently LHCb discovered the first doubly-charmed baryon Ξ ++ cc = ccu at 3621.40 ± 0.78 MeV, very close to our theoretical prediction. We use the same methods to predict a doubly-bottom tetraquark T (bbūd) with J P =1 + at 10, 389 ± 12 MeV, 215 MeV below the B −B * 0 threshold and 170 MeV below threshold for decay to B −B0 γ. The T (bbūd) is therefore stable under strong and electromagnetic (EM) interactions and can only decay weakly, the first exotic hadron with such a property. On the other hand, the mass of T (ccūd) with J P =1 + is predicted to be 3882 ± 12 MeV, 7 MeV above the D 0 D * + threshold and 148 MeV above D 0 D + γ threshold. T (bcūd) with J P =0 + is predicted at 7134 ± 13 MeV, 11 MeV below theB 0 D 0 threshold. Our precision is not sufficient to determine whether bcūd is actually above or below the threshold. It could manifest itself as a narrow resonance just at threshold.
“…If it does, what are their masses and decay properties? Recently, this debate has given rise to several studies within different approaches, including the constituent quark and diquark models [45][46][47][48], chiral quark model [49], chromo-electric potential model [50], and QCD sum rules [51,52]. All of these predict the existence of fullyheavy (bottom) tetraquarks, except for Ref.…”
We discuss the possible existence of the fullyheavy tetraquarks. We calculate the ground-state energy of the bbbb bound state, where b stands for the bottom quark, in a nonrelativistic effective field theory framework with onegluon-exchange (OGE) color Coulomb interaction, and in a relativized diquark model characterized by OGE plus a confining potential. Our analysis advocates the existence of uni-flavor heavy four-quark bound states. The ground state bbbb tetraquark mass is predicted to be (18.72 ± 0.02) GeV. Mass inequality relations among the lowest Q QQQ states, where Q ∈ {c, b}, and the corresponding heavy quarkonia are presented, which give the upper limit on the mass of ground state Q QQQ. The possible decays of the lowest bbbb are highlighted, which might provide useful references in the search for them in ongoing LHC experiments, and its width is estimated to be a few tens of MeV.
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