${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ 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.

24 pages, 19 figures, 3 tables

References in corpus (36)

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• Multiquark Resonances
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• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Discovery of doubly-charmed Xi_{cc} baryon implies a stable (b b ubar dbar) tetraquark
• Heavy-quark symmetry implies stable heavy tetraquark mesons $Q_i{Q}_j{\bar{q}}_k{\bar{q}}_l$
• X(3872) and Other Possible Heavy Molecular States
• Pion Interactions in the X(3872)
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• Masses of tetraquarks with two heavy quarks in the relativistic quark model
• Is X(3872) {\sl Really} a Molecular State?
• The Vector and Axial-Vector Charmonium-like States
• Exotic tetraquark states with the $qq\bar{Q}\bar{Q}$ configuration
• Exotic meson-meson molecules and compact four--quark states
• Exotic $QQ\bar{q}\bar{q}$, $QQ\bar{q}\bar{s}$ and $QQ\bar{s}\bar{s}$ states
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• Including heavy spin effects in the prediction of a $\bar{b}\bar{b}ud$ tetraquark with lattice QCD potentials
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• Calculation of the heavy-hadron axial couplings g_1, g_2, and g_3 using lattice QCD
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Cited by in corpus (36)

• Pentaquark and Tetraquark states
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• A survey of heavy-heavy hadronic molecules
• Heavy-quark spin and flavour symmetry partners of the X(3872) revisited: what can we learn from the one boson exchange model?
• Lattice QCD investigation of a doubly-bottom $\bar{b}\bar{b}ud$ tetraquark with quantum numbers $I(J^P)=0(1^{+})$
• Spectrum of the strange hidden charm molecular pentaquarks in chiral effective field theory
• $X_0(2866)$ as a $D^{\ast }{\bar{K}}^{\ast }$ molecular state
• Double-heavy tetraquark states with heavy diquark-antiquark symmetry
• Subleading contributions to the decay width of the $T_{cc}^{+}$ tetraquark
• 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
• Doubly heavy tetraquarks in an extended chromomagnetic model
• Decoding the nature of $Z_{cs}(3985)$ and establishing the spectrum of charged heavy quarkoniumlike states in chiral effective field theory
• Revisiting the $D{D}^{\ast }$ chiral interactions with the local momentum-space regularization up to the third order and the nature of $T_{cc}^{+}$
• How to understand the $X(2900)$?
• $D^{(\ast )}N$ interaction and the structure of ${\Sigma }_c(2800)$ and ${\Lambda }_c(2940)$ in chiral effective field theory
• Search for $\bar{b}\bar{b}us$ and $\bar{b}\bar{c}ud$ tetraquark bound states using lattice QCD
• Spectrum of the doubly charmed molecular pentaquarks in chiral effective field theory
• Masses and widths of the exotic molecular $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• A note on the possible bound $D^{(\ast )}{D}^{(\ast )},{\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{\bar{B}}^{(\ast )}$ states
• Spectrum of the molecular tetraquarks: Unraveling the $T_{cs0}(2900)$ and $T_{c\bar{s}0}^a(2900)$
• Deciphering the charged heavy quarkoniumlike states in chiral effective field theory
• ${\Sigma }_{c}N$ interaction in chiral perturbation theory
• $T_{cc}^{+}$ and $X(3872)$ with the complex scaling method and $DD(\bar{D})\pi$ three-body effect
• ${\Lambda }_c(2910)$ and ${\Lambda }_c(2940)$ as the conventional baryons dressed with the $D^{\ast }N$ channel
• Possible molecular states in $B^{(\ast )}{B}^{(\ast )}$ scatterings
• $bb\bar{u}\bar{d}$ and $bs\bar{u}\bar{d}$ tetraquarks from lattice QCD using two-meson and diquark-antidiquark variational basis
• Isospin violating decay $D_s^{\ast }\to D_s{\pi }^0$ in chiral perturbation theory
• Two-pion exchange for coupled-channel scattering of two heavy mesons
• Study of the hidden charm $D{\bar{D}}^{\ast }$ interactions in chiral effective field theory
• Investigation on the bottom analogs of the $T_{cc}^{+}$
• $D^{(\ast )}{\bar{B}}^{(\ast )}$ dynamics in chiral effective field theory
• Chiral extrapolation of the doubly charmed baryons magnetic properties
• Investigating the two-pion exchange of the double charm $D{D}^{\ast }$ chiral interactions and $T_{cc}$
• Investigation of Doubly Heavy Tetraquark Systems using Lattice QCD
• Interactions between two heavy mesons within heavy meson chiral effective field theory
• Binding energy of the $T_{bb}$ tetraquark from lattice QCD with relativistic and nonrelativistic heavy-quark actions