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Doubly heavy tetraquark bound and resonant states

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arxiv 2409.03373 v2 pith:AZFKFFQ4 submitted 2024-09-05 hep-ph hep-exhep-latnucl-th

Wei-Lin Wu , Yao Ma , Yan-Ke Chen , Lu Meng , Shi-Lin Zhu This is my paper · ORCID
classification hep-phhep-exhep-latnucl-th
keywords statesboundcompactresonantprimetetraquarktetraquarksconfigurations
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We calculate the energy spectrum of the S-wave doubly heavy tetraquark systems, including the $ QQ^{(\prime)}\bar q\bar q$, $QQ^{(\prime)}\bar s\bar q$, and $ QQ^{(\prime)}\bar s\bar s$ ($Q^{(\prime)}=b,c$ and $q=u,d$) systems within the constituent quark model. We use the complex scaling method to obtain bound states and resonant states simultaneously, and the Gaussian expansion method to solve the complex-scaled four-body Schr\"odinger equation. With a novel definition of the root-mean-square radii, we are able to distinguish between meson molecules and compact tetraquark states. The compact tetraquarks are further classified into three different types with distinct spatial configurations: compact even tetraquarks, compact diquark-antidiquark tetraquarks and compact diquark-centered tetraquarks. In the $ I(J^P)=0(1^+) $ $QQ\bar q\bar q$ system, there exists the $ D^*D $ molecular bound state with a binding energy of $ -14 $ MeV, which is the candidate for $ T_{cc}(3875)^+ $. The shallow $\bar B^*\bar B$ molecular bound state is the bottom analog of $T_{cc}(3875)^+$. Moreover, we identify two resonant states near the $D^*D^*$ and $\bar B^*\bar B^*$ thresholds. In the $ J^P=1^+ $ $bb\bar q\bar q\,(I=0)$ and $bb\bar s\bar q$ systems, we obtain deeply bound states with a compact diquark-centered tetraquark configuration and a dominant $\chi_{\bar 3_c\otimes 3_c}$ component, along with resonant states with similar configurations as their radial excitations. These states are the QCD analog of the helium atom. We also obtain some other bound states and resonant states with ``QCD hydrogen molecule" configurations. Moreover, we investigate the heavy quark mass dependence of the $ I(J^P)=0(1^+) $ $ QQ\bar q\bar q $ bound states. We strongly urge the experimental search for the predicted states.

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Forward citations

Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Heavy flavored hydrogen molecule systems

    physics.atom-ph 2025-07 conditional novelty 6.0 of 10

    The authors use Gaussian expansion and complex scaling to predict bound and quasi-bound energies of muonic and tauonic hydrogen-molecule analogues, reporting first values for ppμμ and ppττ.

  2. Constraining the $DDD^*$ three-body bound state via the $Z_c(3900)$ pole

    hep-ph 2024-12 conditional novelty 6.0 of 10

    A model-dependent study showing that the existence of a DDD* bound state is tied to the virtual-state pole position of Zc(3900), with binding occurring only for near-threshold Zc poles.

  3. Fully charmed P-wave tetraquark resonant states in the quark model

    hep-ph 2024-11 conditional novelty 6.0 of 10

    A quark-model calculation predicts compact fully charmed P-wave tetraquark resonances near 7.0 to 7.2 GeV, including exotic J^PC = 0^-- and 1^-+ states, and finds no narrow tetraquark candidates below 7 GeV for X(6400...

  4. Compactness, mass spectra, and strong stability of singly heavy tetraquarks

    hep-ph 2026-07 conditional novelty 5.0 of 10

    A radius-dependent chromoelectric interaction in the MIT bag model predicts that the state T_ncs̄n̄(0+, 2.925) is a compact tetraquark candidate corresponding to the experimentally observed T_c̄s0^a(2900).

  5. Trilepton and tetralepton bound and resonant states: the QED counterpart of multiquark states

    hep-ph 2025-01 conditional novelty 5.0 of 10

    S-wave calculations predict bound and resonant states in trilepton and tetralepton systems made of electrons and muons, including the first muon-containing tetralepton resonances.

  6. Investigating the two-pion exchange of the double charm $DD^*$ chiral interactions and $T_{cc}$

    hep-ph 2025-09 conditional novelty 4.0 of 10

    In this chiral EFT calculation the I=0 DD* two-pion-exchange potential is repulsive, and its near-cancellation with attractive contact and one-pion terms provides the weak binding of Tcc.

  7. Production mechanism of doubly charmed exotic mesons $T_{cc}$

    hep-ph 2025-07 conditional novelty 4.0 of 10

    A coupled-channel model generates the Tcc(3875)+ as an isovector DD* molecule and predicts three additional J=1 tetraquark states, including a negative-parity resonance.

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