Diffusion Monte Carlo calculations of fully-heavy (multiquark) bound states

Abstract

We use a diffusion Monte Carlo method to solve the many-body Schrödinger equation describing fully-heavy tetraquark systems. This approach allows to reduce the uncertainty of the numerical calculation at the percent level, accounts for multi-particle correlations in the physical observables, and avoids the usual quark-clustering assumed in other theoretical techniques applied to the same problem. The interaction between particles was modeled by the most general and accepted potential, i.e. a pairwise interaction including Coulomb, linear-confining and hyperfine spin-spin terms. This means that, in principle, our analysis should provide some rigorous statements about the mass location of the all-heavy tetraquark ground states, which is particularly timely due to the very recent observation made by the LHCb collaboration of some enhancements in the invariant mass spectra of $J/\psi$-pairs. Our main results are: (i) the $cc\bar{c}\bar{c}$, $cc\bar{b}\bar{b}$ ($bb\bar{c}\bar{c}$) and $bb\bar{b}\bar{b}$ lowest-lying states are located well above their corresponding meson-meson thresholds; (ii) the $J^{PC}=0^{++}$ $cc\bar{c}\bar{c}$ ground state with preferred quark-antiquark pair configurations is compatible with the enhancement(s) observed by the LHCb collaboration; (iii) our results for the $cc\bar{c}\bar{b}$ and $bb\bar{c}\bar{b}$ sectors seem to indicate that the $0^{+}$ and $1^{+}$ ground states are almost degenerate with the $2^{+}$ located around $100\text{MeV}$ above them; (iv) smaller mass splittings for the $cb\bar{c}\bar{b}$ system are predicted, with absolute mass values in reasonable agreement with other theoretical works; (v) the $1^{++}$ $cb\bar{c}\bar{b}$ tetraquark ground state lies at its lowest $S$-wave meson-meson threshold and it is compatible with a molecular configuration.

19 pages, 7 figures, 15 tables

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• Spectrum of $cc\bar{b}\bar{b}$, $bc\bar{c}\bar{c}$, and $bc\bar{b}\bar{b}$ Tetraquark States in the Dynamical Diquark Model
• Going in quest of potential tetraquark interpretations for the newly observed $T_{\psi \psi }$ states in light of the diquark-antidiquark scenarios
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• Masses of fully-heavy tetraquark states from a four-quark static potential model
• Exotic fully-heavy $Q\bar{Q}Q\bar{Q}$ tetraquark states in $8_{[Q\bar{Q}]}\otimes 8_{[Q\bar{Q}]}$ color configuration
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• Diffusion Monte Carlo calculations of fully-heavy compact hexaquarks
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• Fully heavy pentaquark states in constituent quark model
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• Triply-heavy tetraquarks in an extended relativized quark model
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• The bosonic algebraic approach applied to the $[QQ][\bar{Q}\bar{Q}]$ tetraquarks
• The structure of the X(3872) as explained by a Diffusion Monte Carlo calculation
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• The $\mathbf{X}(3872)$'s excitation and its connection with production at hadron colliders
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