On possible $S$-wave bound states for a $N\bar{N}$ system within a constituent quark model

Abstract

We try to apply a constituent quark model (a variety chiral constituent quark model) and the resonating group approach for the multi-quark problems to compute the effective potential between the $N\bar{N}$ in $S$-wave (the quarks in the nucleons $N$ and $\bar{N}$, and the two nucleons relatively as well, are in $S$ wave) so as to see the possibility if there may be a tight bound state of six quarks as indicated by a strong enhancement at threshold of $p\bar{p}$ in $J/\psi$ and B decays. The effective potential which we obtain in terms of the model and approach shows if the experimental enhancement is really caused by a tight $S$-wave bound state of six quarks, then the quantum number of the bound state is very likely to be $I=1,J^{PC}=0^{-+}$.

8 pages, 9 figures

Cited by in corpus (22)

• New Hadron States
• A possible 0^{-+} glueball candidate X(1835)
• X(1835): A Natural Candidate of ${\eta }^{\prime }$'s Second Radial Excitation
• The bound state problem of S-wave heavy quark meson-aitimeson systems
• X(1835): A Possible Baryonium?
• Near Threshold Enhancement of p pbar System and p pbar Elastic Scattering
• Stability of hexaquarks in the string limit of confinement
• Baryonium, tetra-quark state and glue-ball in large N_c QCD
• $X(1835)$ and the New Resonances $X(2120)$ and $X(2370)$ Observed by the BES Collaboration
• Some properties of the newly observed X(1835) state at BES
• Rescattering Effect and Near Threshold Enhancement of $p\bar{p}$ System
• Baryon Antibaryon Nonets
• Spectroscopy of ${\mathrm{q}}^3{\bar{\mathrm{q}}}^3$-States in Quark Model and Baryon-Antibaryon Enhancements
• Analysis of the X(1835) and related baryonium states with Bethe-Salpeter equation
• Strong and Electromagnetic Decays of X(1835) as a Baryonium State
• Search for supersymmetric baryons near production threshold in terms of the superflavor symmetry
• Baryonia with open and hidden strange
• Protonium: Discovery and Prediction
• Study on $N\bar{N}$ $S$-wave Elastic Cross Section and Possible Bound States Within a Constituent Quark Model
• Nonstrange baryonia
• Analysis of the $X(1835)$ as a baryonium state with Bethe-Salpeter equation
• Decay Widths of X(1835) as Nucleon-Antinucleon Bound State