Chiral Perturbation Theory and the $\bar{B}\bar{B}$ Strong Interaction

Abstract

We have calculated the potentials of the heavy (charmed or bottomed) pseudoscalar mesons up to $O({\epsilon }^2)$ with the heavy meson chiral perturbation theory. We take into account the contributions from the football, triangle, box, and crossed diagrams with the 2$\varphi$ exchange and one-loop corrections to the contact terms. We notice that the total 2$\varphi$-exchange potential alone is attractive in the small momentum region in the channel ${\bar{B}\bar{B}}^{I=1}$, ${{\bar{B}}_s{\bar{B}}_s}^{I=0}$, or ${\bar{B}{\bar{B}}_s}^{I=1/2}$, while repulsive in the channel ${\bar{B}\bar{B}}^{I=0}$. Hopefully the analytical chiral structures of the potentials may be useful in the extrapolation of the heavy meson interaction from lattice QCD simulation.

14 pages, 8 figures, 4 tables; discussion extended, references added, version published in Phys. Rev. D

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• Chiral effective field theory and nuclear forces
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• Is X(3872) a molecule?
• Search for new charmonium states in the processes e+ e- --> J/psi D(*) D(*) at sqrt{s} ~ 10.6 GeV
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• ${\Lambda }_c(2910)$ and ${\Lambda }_c(2940)$ as the conventional baryons dressed with the $D^{\ast }N$ channel
• Chiral Lagrangians for mesons with a single heavy quark
• Possible molecular states in $B^{(\ast )}{B}^{(\ast )}$ scatterings
• Hadronic states with both open charm and bottom in effective field theory
• Study of the hidden charm $D{\bar{D}}^{\ast }$ interactions in chiral effective field theory
• An effective field theory approach to monopolium
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• Investigating the two-pion exchange of the double charm $D{D}^{\ast }$ chiral interactions and $T_{cc}$