Heavy Baryon-Antibaryon Molecules in Effective Field Theory

Abstract

We discuss the effective field theory description of bound states composed of a heavy baryon and antibaryon. This framework is a variation of the ones already developed for heavy meson-antimeson states to describe the $X(3872)$ or the $Z_c$ and $Z_b$ resonances. We consider the case of heavy baryons for which the light quark pair is in S-wave and we explore how heavy quark spin symmetry constrains the heavy baryon-antibaryon potential. The one pion exchange potential mediates the low energy dynamics of this system. We determine the relative importance of pion exchanges, in particular the tensor force. We find that in general pion exchanges are probably non-perturbative for the ${\Sigma }_Q{\bar{\Sigma }}_Q$, ${\Sigma }_Q^{\ast }{\bar{\Sigma }}_Q$ and ${\Sigma }_Q^{\ast }{\bar{\Sigma }}_Q^{\ast }$ systems, while for the ${\Xi }_Q^{\prime }{\bar{\Xi }}_Q^{\prime }$, ${\Xi }_Q^{\ast }{\bar{\Xi }}_Q^{\prime }$ and ${\Xi }_Q^{\ast }{\bar{\Xi }}_Q^{\ast }$ cases they are perturbative If we assume that the contact-range couplings of the effective field theory are saturated by the exchange of vector mesons, we can estimate for which quantum numbers it is more probable to find a heavy baryonium state. The most probable candidates to form bound states are the isoscalar ${\Lambda }_Q{\bar{\Lambda }}_Q$, ${\Sigma }_Q{\bar{\Sigma }}_Q$, ${\Sigma }_Q^{\ast }{\bar{\Sigma }}_Q$ and ${\Sigma }_Q^{\ast }{\bar{\Sigma }}_Q^{\ast }$ and the isovector ${\Lambda }_Q{\bar{\Sigma }}_Q$ and ${\Lambda }_Q{\bar{\Sigma }}_Q^{\ast }$ systems, both in the hidden-charm and hidden-bottom sectors. Their doubly-charmed and -bottom counterparts (${\Lambda }_Q{\Lambda }_Q$, ${\Lambda }_Q{\Sigma }_Q^{(\ast )}$, ${\Sigma }_Q^{(\ast )}{\Sigma }_Q^{(\ast )}$) are also good candidates for binding.

38 pages, 1 figure, 12 tables; extended discussion on the most probable molecular heavy baryon-antibaryon states to bind; corresponds to published version

References in corpus (14)

• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• Dynamically generated 0^+ heavy mesons in a heavy chiral unitary approach
• Pion Interactions in the X(3872)
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• Dynamically generated 1^+ heavy mesons
• Axial Resonances in the Open and Hidden Charm Sectors
• Calculation of the heavy-hadron axial couplings g_1, g_2, and g_3 using lattice QCD
• Power Counting of Contact-Range Currents in Effective Field Theory
• Heavy molecules and one-$\sigma /\omega$-exchange model
• More kaonic bound states and a comprehensive interpretation of the D_{sJ} states
• On the scattering of D and D* mesons off the X(3872)
• Scale Invariance in Heavy Hadron Molecules
• Exotic Doubly Charmed Ds0*(2317)D and Ds1*(2460)D* Molecules
• Are there near-threshold Coulomb-like Baryonia?

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• Predictions for charmed nuclei based on $Y_{c}N$ forces inferred from lattice QCD simulations
• Double-charm and hidden-charm hexaquark states under the complex scaling method
• Molecular states in $D_s^{(\ast )+}{\Xi }_c^{{(}^{\prime },\ast )}$ systems
• Doubly charmed dibaryon states
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