Baryonium

Abstract

In the framework of the heavy baryon perturbation theory, in which the two-pion exchange is considered, the physical properties of heavy-baryon-anti-heavy-baryon systems are revisited. The potentials between heavy-baryon and anti-heavy-baryon are extracted in a holonomic form. Based on the extracted potentials, the s-wave scattering phase shifts and scattering lengths of ${\Lambda }_c$-${\bar{\Lambda }}_c$ and ${\Sigma }_c$-${\bar{\Sigma }}_c$ are calculated. From these scattering features, it is found that the ${\Lambda }_c$-${\bar{\Lambda }}_c$ system can be bound only when the value of the coupling constant $g_2$ is larger than that from the decay data of the ${\Sigma }_c({\Sigma }_c^{\ast })\to {\Lambda }_c\pi$ process. The binding condition for the ${\Sigma }_c$-${\bar{\Sigma }}_c$ system is also examined. The binding possibilities of these systems deduced from the scattering calculations are also checked by the bound state calculation and the binding energies are obtained if the system can be really bound. The binding possibility of the ${\Lambda }_b$-${\bar{\Lambda }}_b$ system is investigated as well.

23 pages, 18 figures

References in corpus (10)

• Heavy quarkonium: progress, puzzles, and opportunities
• Observation of a charged charmoniumlike structure in e+e- to pi+pi-J/psi at \sqrt{s}=4.26 GeV
• Study of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ and Observation of a Charged Charmonium-like State at Belle
• Consequences of Heavy Quark Symmetries for Hadronic Molecules
• Observation of anomalous Upsilon(1S)pi+pi- and Upsilon(2S)pi+pi- production near the Upsilon(5S) resonance
• Reproducing the $Z_c(3900)$ structure through the initial-single-pion-emission mechanism
• Improved QCD sum rule study of $Z_c(3900)$ as a $\bar{D}{D}^{\ast }$ molecular state
• Calculation of the heavy-hadron axial couplings g_1, g_2, and g_3 using lattice QCD
• Predictions of charged charmonium-like structures with hidden-charm and open-strange channels
• A Uniform Description of the States Recently Observed at B-factories

Cited by in corpus (10)

• New Exotic Meson and Baryon Resonances from Doubly-Heavy Hadronic Molecules
• Hidden-bottom and -charm hexaquark states in QCD sum rules
• Light baryonium spectrum
• Searching for hidden-charm baryonium signals in QCD sum rules
• Where are the hidden-charm hexaquarks?
• Predictions of the hidden-charm molecular states with four-quark component
• Spectrum of the molecular hexaquarks
• On leptonic width of $X(4260)$
• Double-charm and hidden-charm hexaquark states under the complex scaling method
• Baryons and baryoniums in the perspective of QCD sum rules