Possible existence of a dibaryon candidate $N\Delta$ ($D_{21}$)

Abstract

Inspired by the experimental report by WASA-at-COSY Collaboration, we investigate the possibile existence of the dibaryon candidate $N\Delta$ with quantum numbers $I{J}^P=21^{+}$ ($D_{21}$). The dynamical calculation shows that we cannot obtain the bound $D_{21}$ state in the models which can obtain the experimental $d^{\ast }$. %although the $D_{21}$ state can bound in the range of parameters in quark models. The low-energy scattering phase shifts of the $N-\Delta$ scattering give the same conclusion. Besides, the mass calculation by using the Gursey-Radicati mass formula and the analysis of the matrix elements of the color magnetic interaction show that the mass of $D_{21}$ is larger than that of $D_{12}$ ($N\Delta$ with $I{J}^P=12^{+}$), which indicate that it is less possible for the $D_{21}$ than the $D_{12}$ to form bound state.

8 pages, 3 figures

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Cited by in corpus (5)

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• Sequential single pion production explaining the dibaryon "$d^{\ast }(2380)$" peak
• Possible molecular states from the $N\Delta$ interaction
• On the Production of an Isotensor Dibaryon in the $pp\to pp{\pi }^{+}{\pi }^{-}$ Reaction