Are There NarrowD-Wave Baryon-Antibaryon Resonances?

Abstract

The conjecture of a possible narrow $D$-wave resonance of the $\Omega \overline{\Omega }$ system is extended to general baryon-antibaryon systems. On the basis of the well-known $\mathrm{NN}$ forces one finds that $B\overline{B}$ systems bound by pion forces are more likely to produce narrow resonances. In particular one may expect narrow resonances below the $N\overline{N}$, $\Lambda \overline{\Lambda }$, and perhaps even the $\Xi \overline{\Xi }$ thresholds. A narrow $B\overline{B}$ resonance may serve in a second step (similar to the $\alpha$ particle) to explain the narrow $\psi$ and ${\psi }^{\prime }$.