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arXiv 1805.04873hep-phnucl-th
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可能存在一个二重子候选者$NΔ$（$D_{21}$）

Possible existence of a dibaryon candidate $NΔ$ ($D_{21}$)

Hongxia Huang, Xinmei Zhu, Jialun Ping, Fan Wang

备注：
8 pages, 3 figures
发表信息：
Phys. Rev. C 98, 034001 (2018)
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摘要：

受WASA-at-COSY合作组实验报告的启发，我们研究了具有量子数$IJ^P=21^+$（$D_{21}$）的二重子候选体$NΔ$的可能存在性.动力学计算表明，在能得到实验$d^{*}$的模型中，我们不能得到束缚态$D_{21}$. %，虽然$D_{21}$态可以束缚在夸克模型的参数范围内。$N-Δ$散射的低能散射相移给出了相同的结论。此外，用Gursey-Radicati质量公式计算了$D_{21}$的质量，并对色磁相互作用的矩阵元进行了分析，结果表明，$D_{21}$的质量大于$D_{12}$（$NΔ$ with $IJ^P=12^+$）的质量，说明$D_{21}$比$D_{12}$更不可能形成束缚态.

英文摘要：

Inspired by the experimental report by WASA-at-COSY Collaboration, we investigate the possibile existence of the dibaryon candidate $NΔ$ with quantum numbers $IJ^P=21^+$ ($D_{21}$). The dynamical calculation shows that we cannot obtain the bound $D_{21}$ state in the models which can obtain the experimental $d^{*}$. %although the $D_{21}$ state can bound in the range of parameters in quark models. The low-energy scattering phase shifts of the $N-Δ$ 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 $D_{12}$ ($NΔ$ with $IJ^P=12^+$), which indicate that it is less possible for the $D_{21}$ than the $D_{12}$ to form bound state.

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