${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory

Abstract

In this work, the intermeson interactions of double-beauty $\bar{B}\bar{B}$, $\bar{B}{\bar{B}}^{\ast }$, and ${\bar{B}}^{\ast }{\bar{B}}^{\ast }$ systems have been studied with heavy meson chiral effective field theory. The effective potentials are calculated with Weinberg's scheme up to one-loop level. At the leading order, four body contact interactions and one pion exchange contributions are considered. In addition to two pion exchange diagrams, we include the one-loop chiral corrections to contact terms and one pion exchange diagrams at the next-to-leading order. The behaviours of effective potentials both in momentum space and coordinate space are investigated and discussed extensively. We notice the contact terms play important roles in determining the characteristics of the total potentials. Only the potentials in $I(J^P)=0(1^{+})$ $\bar{B}{\bar{B}}^{\ast }$ and ${\bar{B}}^{\ast }{\bar{B}}^{\ast }$ systems are attractive, and the corresponding binding energies in these two channels are solved to be $\Delta E_{\bar{B}{\bar{B}}^{\ast }}\simeq -12.6_{-12.9}^{+9.2}$ MeV and $\Delta E_{{\bar{B}}^{\ast }{\bar{B}}^{\ast }}\simeq -23.8_{-21.5}^{+16.3}$ MeV, respectively. The masses of $0(1^{+})$ $\bar{B}{\bar{B}}^{\ast }$ and ${\bar{B}}^{\ast }{\bar{B}}^{\ast }$ states lie above the threshold of their electromagnetic decay modes $\bar{B}\bar{B}\gamma$ and $\bar{B}\bar{B}\gamma \gamma$, and thus they can be reconstructable via electromagnetic interactions. Our calculation not only provides some useful information to explore exotic doubly-bottomed molecular states for future experiments, but also is helpful for the extrapolations of Lattice QCD simulations.

arXiv comment24 pages, 19 figures, 3 tables

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• Molecular states from $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{D}^{(\ast )}/{\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions
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• Decoding the nature of $Z_{cs}(3985)$ and establishing the spectrum of charged heavy quarkoniumlike states in chiral effective field theory
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• Masses and widths of the exotic molecular $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• Radiative transitions and magnetic moments of the charmed and bottom vector mesons in chiral perturbation theory
• A note on the possible bound $D^{(\ast )}{D}^{(\ast )},{\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{\bar{B}}^{(\ast )}$ states
• Deciphering the charged heavy quarkoniumlike states in chiral effective field theory
• Spectrum of the molecular tetraquarks: Unraveling the $T_{cs0}(2900)$ and $T_{c\bar{s}0}^a(2900)$
• ${\Sigma }_{c}N$ interaction in chiral perturbation theory
• $T_{cc}^{+}$ and $X(3872)$ with the complex scaling method and $DD(\bar{D})\pi$ three-body effect
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• Two-pion exchange for coupled-channel scattering of two heavy mesons
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• Investigation on the bottom analogs of the $T_{cc}^{+}$
• $D^{(\ast )}{\bar{B}}^{(\ast )}$ dynamics in chiral effective field theory
• Investigating the two-pion exchange of the double charm $D{D}^{\ast }$ chiral interactions and $T_{cc}$
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